| 1 | Albert, J. et al. (MAGIC Collaboration), “Probing Quantum Gravity using Photons from a
Mkn 501 Flare Observed by MAGIC”, (2007). URL (cited on 27 April 2008):
|
|
| 2 | Alesci, E., and Rovelli, C., “The complete LQG propagator: I. Difficulties with the
Barrett–Crane vertex”, Phys. Rev. D, 76, 104012, (2007). Related online version (cited on 5
August 2007):
|
|
| 3 | Alesci, E., and Rovelli, C., “The complete LQG propagator: II. Asymptotic behavior of the
vertex”, Phys. Rev. D, 77, 044024, (2008). Related online version (cited on 5 August 2007):
|
|
| 4 | Alexandrov, S., “Choice of connection in loop quantum gravity”, Phys. Rev. D, 65, 024011,
(2002). Related online version (cited on 5 August 2007):
|
|
| 5 | Alexandrov, S., “Hilbert space structure of covariant loop quantum gravity”, Phys. Rev. D,
66, 024028, (2002). Related online version (cited on 5 August 2007):
|
|
| 6 | Alexandrov, S., “Spin foam model from canonical quantization”, (2007). URL (cited on 5
August 2007):
|
|
| 7 | Alexandrov, S., and Livine, E.R., “SU(2) loop quantum gravity seen from covariant theory”,
Phys. Rev. D, 67, 044009, (2003). Related online version (cited on 5 August 2007):
|
|
| 8 | Alfaro, J., Morales Técotl, H.A., and Urrita, L.F., “Loop quantum gravity and light
propagation”, Phys. Rev. D, 65, 103509, (2002). Related online version (cited on 5 August
2007):
|
|
| 9 | Amati, D., Ciafaloni, M., and Veneziano, G., “Superstring collisions at Planckian energies”, Phys. Lett. B, 197, 81–88, (1987). | |
| 10 | Amati, D., Ciafaloni, M., and Veneziano, G., “Classical and quantum gravity effects from Planckian energy superstring collisions”, Int. J. Mod. Phys. A, 3, 1615–1661, (1988). | |
| 11 | Amati, D., Ciafaloni, M., and Veneziano, G., “Can spacetime be probed below the string size?”, Phys. Lett. B, 216, 41–47, (1989). | |
| 12 | Amati, D., Ciafaloni, M., and Veneziano, G., “Planckian scattering beyond the semiclassical approximation”, Phys. Lett. B, 289, 87–91, (1992). | |
| 13 | Ambjørn, J., Jurkiewicz, J., and Loll, R., “Quantum Gravity, or The Art of Building
Spacetime”, in Oriti, D., ed., Approaches to Quantum Gravity: Toward a New Understanding
of Space, Time and Matter, (Cambridge University Press, Cambridge, U.K., 2007). Related
online version (cited on 5 August 2007):
|
|
| 14 | Amelino-Camelia, G., Ellis, J., Mavromatos, N.E., Nanopoulos, D.V., and Sarkar, S., “Tests of quantum gravity from observations of γ-ray bursts”, Nature, 393, 763–765, (1998). | |
| 15 | Amelino-Camelia, G., Lämmerzahl, C., Macías, A., and Müller, H., “The Search for Quantum Gravity Signals”, in Macías, A., Nuñez, D., and Lämmerzahl, C., eds., Gravitation and Cosmology, 2nd Mexican Meeting on Mathematical and Experimental Physics, México City, México, 6 – 10 September 2004, AIP Conference Proceedings, vol. 758, p. 30, (American Institute of Physics, Melville, U.S.A., 2005). | |
| 16 | Ashtekar, A., “New Variables for Classical and Quantum Gravity”, Phys. Rev. Lett., 57, 2244–2247, (1986). | |
| 17 | Ashtekar, A., “New Hamiltonian Formulation of General Relativity”, Phys. Rev. D, 36(6), 1587–1602, (1987). | |
| 18 | Ashtekar, A., Lectures on Non-Perturbative Canonical Gravity, Advanced Series in Astrophysics and Cosmology, vol. 6, (World Scientific, Singapore, 1991). | |
| 19 | Ashtekar, A., “Mathematical problems of non-perturbative quantum general relativity”, in Julia, B., and Zinn-Justin, J., eds., Gravitation and Quantization, Proceedings of the Les Houches Summer School, Session LVII, 5 July – 1 August 1992, (Elsevier, Amsterdam, Netherlands, New York, U.S.A., 1995). | |
| 20 | Ashtekar, A., “An Introduction to Loop Quantum Gravity Through Cosmology”, (2007). URL
(cited on 5 August 2007):
|
|
| 21 | Ashtekar, A., “Loop quantum gravity: Four recent advances and a dozen frequently asked
questions”, (2007). URL (cited on 5 August 2007):
|
|
| 22 | Ashtekar, A., Baez, J.C., and Krasnov, K., “Quantum Geometry of Isolated Horizons and Black
Hole Entropy”, Adv. Theor. Math. Phys., 4, 1–94, (2000). Related online version (cited on 5
August 2007):
|
|
| 23 | Ashtekar, A., and Bojowald, M., “Black hole evaporation: A paradigm”, Class. Quantum Grav.,
22, 3349–3362, (2005). Related online version (cited on 5 August 2007):
|
|
| 24 | Ashtekar, A., and Bojowald, M., “Quantum geometry and the Schwarzschild singularity”, Class.
Quantum Grav., 23, 391–411, (2006). Related online version (cited on 5 August 2007):
|
|
| 25 | Ashtekar, A., Engle, J., and Van Den Broeck, C., “Quantum horizons and black hole entropy:
Inclusion of distortion and rotation”, Class. Quantum Grav., 22, L27, (2005). Related online
version (cited on 5 August 2007):
|
|
| 26 | Ashtekar, A., Husain, V., Rovelli, C., Samuel, J., and Smolin, L., “2 + 1 quantum gravity as a toy model for the 3 + 1 theory”, Class. Quantum Grav., 6, L185–L193, (1989). | |
| 27 | Ashtekar, A., and Isham, C.J., “Representations of the holonomy algebras of gravity and non-abelian gauge theories”, Class. Quantum Grav., 9, 1433–1485, (1992). | |
| 28 | Ashtekar, A., and Lewandowski, J., “Representation theory of analytic holonomy C⋆ algebras”,
in Baez, J.C., ed., Knots and Quantum Gravity, Proceedings of a workshop held at UC Riverside
on May 14 – 16, 1993, Oxford Lecture Series in Mathematics and its Applications, vol. 1, pp.
21–61, (Clarendon Press; Oxford University Press, Oxford, U.K.; New York, U.S.A., 1994).
Related online version (cited on 16 February 2005):
|
|
| 29 | Ashtekar, A., and Lewandowski, J., “Differential geometry on the space of connections via
graphs and projective limits”, J. Geom. Phys., 17, 191–230, (1995). Related online version
(cited on 29 September 1997):
|
|
| 30 | Ashtekar, A., and Lewandowski, J., “Projective Techniques and Functional Integration for
Gauge Theories”, J. Math. Phys., 36(5), 2170–2191, (1995). Related online version (cited on
29 September 1997):
|
|
| 31 | Ashtekar, A., and Lewandowski, J., “Quantum Theory of Geometry I: Area Operators”, Class.
Quantum Grav., 14, A55–A82, (1997). Related online version (cited on 29 September 1997):
|
|
| 32 | Ashtekar, A., and Lewandowski, J., “Quantum theory of geometry. II: Volume operators”, Adv.
Theor. Math. Phys., 1, 388–429, (1998). Related online version (cited on 5 August 2007):
|
|
| 33 | Ashtekar, A., and Lewandowski, J., “Background independent quantum gravity: a status
report”, Class. Quantum Grav., 21, R53–R152, (2004). Related online version (cited on 23 May
2005):
|
|
| 34 | Ashtekar, A., Lewandowski, J., Marolf, D., Mourão, J.M., and Thiemann, T., “Quantization
of Diffeomorphism Invariant Theories of Connections with Local Degrees of Freedom”, J. Math.
Phys., 36(11), 6456–6493, (1995). Related online version (cited on 29 September 1997):
|
|
| 35 | Ashtekar, A., Lewandowski, J., Marolf, D., Mourão, J.M., and Thiemann, T., “SU(N)
Quantum Yang–Mills theory in two dimensions: A complete solution”, J. Math. Phys., 38(11),
5453–5482, (1997). Related online version (cited on 29 September 1997):
|
|
| 36 | Ashtekar, A., and Loll, R., “New Loop Representation for 2+1 Gravity”, Class. Quantum
Grav., 11, 2417–2434, (1994). Related online version (cited on 29 September 1997):
|
|
| 37 | Ashtekar, A., and Rovelli, C., “A loop representation for the quantum Maxwell field”, Class. Quantum Grav., 9, 1121–1150, (1992). | |
| 38 | Ashtekar, A., Rovelli, C., and Smolin, L., “Gravitons and loops”, Phys. Rev. D, 44(6), 1740–1755, (1991). | |
| 39 | Ashtekar, A., Rovelli, C., and Smolin, L., “Weaving a classical geometry with quantum threads”, Phys. Rev. Lett., 69, 237–240, (1992). | |
| 40 | Baez, J.C., “Quantum gravity seminar”, lecture notes, UC Riverside. URL (cited on 5 August
2007):
|
|
| 41 | Baez, J.C., “Strings, Loop quantum gravity, knots and gauge fields”, (September 1993). URL
(cited on 29 September 1997):
|
|
| 42 | Baez, J.C., “Diffeomorphism-invariant Generalized Measures on the Space of Connections
Modulo Gauge Transformations”, in Yetter, D.N., ed., Proceedings of the Conference on
Quantum Topology, Kansas State University, Manhattan, Kansas, 24 – 28 March 1993, pp.
21–43, (World Scientific, Singapore; River Edge, U.S.A., 1994). Related online version (cited
on 29 September 1997):
|
|
| 43 | Baez, J.C., “Generalized Measures in Gauge Theory”, Lett. Math. Phys., 31, 213–223, (1994).
Related online version (cited on 29 September 1997):
|
|
| 44 | Baez, J.C., “Generalized Measures in Gauge Theory”, Lett. Math. Phys., 31, 213–224, (1994).
Related online version (cited on 29 September 1997):
|
|
| 45 | Baez, J.C., “Generalized Measures in Gauge Theory”, Lett. Math. Phys., 31, 213–223, (1994). | |
| 46 | Baez, J.C., ed., Knots and Quantum Gravity, Proceedings of a workshop held at UC Riverside on May 14 – 16, 1993, Oxford Lecture Series in Mathematics and its Applications, vol. 1, (Clarendon Press; Oxford University Press, Oxford, U.K., New York, U.S.A., 1994). | |
| 47 | Baez, J.C., “Spin Networks in Gauge Theory”, Adv. Math., 117(2), 253–272, (1996). Related
online version (cited on 29 September 1997):
|
|
| 48 | Baez, J.C., “Spin Networks in Nonperturbative Quantum Gravity”, in Kauffman, L.H., ed.,
The Interface of Knots and Physics, AMS short course, January 2 – 3, 1995, San Francisco,
California, Proceedings of Symposia in Pure Mathematics, vol. 51, pp. 197–203, (American
Mathematical Society, Providence, U.S.A., 1996). Related online version (cited on 29 September
1997):
|
|
| 49 | Baez, J.C., “Spin foam models”, Class. Quantum Grav., 15, 1827–1858, (1998). Related online
version (cited on 29 September 1997):
|
|
| 50 | Baez, J.C., “An Introduction to Spin Foam Models of Quantum Gravity and BF Theory”, in
Gausterer, H., Grosse, H., and Pittner, L., eds., Geometry and quantum physics, Proceedings
of the 38. Internationale Universitätswochen für Kern- und Teilchenphysik, Schladming,
Austria, January 9 – 16, 1999, Lecture Notes in Physics, vol. 543, pp. 25–94, (Springer, Berlin,
Germany; New York, U.S.A., 2000). Related online version (cited on 5 August 2007):
|
|
| 51 | Baez, J.C., and Barrett, J.W., “Integrability for Relativistic Spin Networks”, Gen. Relativ.
Gravit., 18, 4683–4700, (2001). Related online version (cited on 5 August 2007):
|
|
| 52 | Baez, J.C., Christensen, J.D., and Egan, G., “Asymptotics of 10j symbols”, Gen. Relativ.
Gravit., 19, 6489, (2002). Related online version (cited on 5 August 2007):
|
|
| 53 | Baez, J.C., Christensen, J.D., Halford, T.R., and Tsang, D.C., “Spin Foam Models of
Riemannian Quantum Gravity”, Gen. Relativ. Gravit., 19, 4627–4648, (2002). Related online
version (cited on 5 August 2007):
|
|
| 54 | Baez, J.C., and Krasnov, K.V., “Quantization of diffeomorphism-invariant theories with
fermions”, J. Math. Phys., 39, 1251–1271, (1997). Related online version (cited on 29 September
1997):
|
|
| 55 | Baez, J.C., and Muniain, J.P., Gauge Fields, Knots, and Gravity, (World Scientific Press, Singapore; River Edge, U.S.A., 1994). | |
| 56 | Baez, J.C., and Perez, A., “Quantization of strings and branes coupled to BF theory”, (2006).
URL (cited on 5 August 2007):
|
|
| 57 | Balachandran, A.P., Chandar, L., and Momen, A., “Edge States and Entanglement Entropy”,
Int. J. Mod. Phys. A, 12(3), 625–641, (1997). Related online version (cited on 29 September
1997):
|
|
| 58 | Balachandran, A.P., Momen, A., and Chandar, L., “Edge states in gravity and black hole
physics”, Nucl. Phys. B, 461, 581–596, (1996). Related online version (cited on 29 September
1997):
|
|
| 59 | Baratin, A., and Freidel, L., “Hidden quantum gravity in 4d Feynman diagrams: Emergence
of spin foams”, Class. Quantum Grav., 24, 2027, (2007). Related online version (cited on 5
August 2007):
|
|
| 60 | Barbero G, J.F., “Real-polynomial formulation of general relativity in terms of connections”, Phys. Rev. D, 49, 6935–6938, (1994). | |
| 61 | Barbero G, J.F., “Real Ashtekar Variables for Lorentzian Signature Space-Times”, Phys. Rev.
D, 51(10), 5507–5510, (1995). Related online version (cited on 29 September 1997):
|
|
| 62 | Barbero G, J.F., “Reality conditions and Ashtekar variables: A different perspective”, Phys.
Rev. D, 51, 5498–5506, (1995). Related online version (cited on 29 September 1997):
|
|
| 63 | Barbero G, J.F., “From Euclidean to Lorentzian general relativity: The real way”, Phys. Rev.
D, 54, 1492–1499, (1996). Related online version (cited on 29 September 1997):
|
|
| 64 | Barrett, J.W., “State sum models for quantum gravity”, in Fokas, A., Grigoryan, A., Kibble,
T., and Zegarlinski, B., eds., XIIIth International Conference on Mathematical Physics,
Proceedings of the congress held at Imperial College, London, UK, July 17 – 22, 2000, pp.
259–266, (International Press, Boston, U.S.A., 2001). Related online version (cited on 21 August
2007):
|
|
| 65 | Barrett, J.W., and Crane, L., “A Lorentzian signature model for quantum general relativity”,
Class. Quantum Grav., 17, 3101, (2000). Related online version (cited on 5 August 2007):
|
|
| 66 | Barrett, J.W., and Crane, L., “Relativistic spin networks and quantum gravity”, J. Math.
Phys., 39, 3296, (2000). Related online version (cited on 5 August 2007):
|
|
| 67 | Bednarek, W., and Wagner, R., “A model for delayed emission in a very-high energy gamma-ray
flare in Markarian 501”, (2008). URL (cited on 27 April 2008):
|
|
| 68 | Bekenstein, J.D., “Black Holes and Entropy”, Phys. Rev. D, 7, 2333–2346, (1973). | |
| 69 | Bianchi, E., Modesto, L., Rovelli, C., and Speziale, S., “Graviton propagator in loop quantum
gravity”, Class. Quantum Grav., 23, 6989–7028, (2006). Related online version (cited on 5
August 2007):
|
|
| 70 | Bilson-Thompson, S.O., Markopoulou, F., and Smolin, L., “Quantum gravity and the standard
model”, (2006). URL (cited on 5 August 2007):
|
|
| 71 | Blencowe, M.P., “The Hamiltonian constraint in quantum gravity”, Nucl. Phys. B, 341(1), 213–251, (1990). | |
| 72 | Bojowald, M., “Loop quantum cosmology: I. Kinematics”, Class. Quantum Grav., 17,
1489–1508, (2000). Related online version (cited on 5 August 2007):
|
|
| 73 | Bojowald, M., “Loop Quantum Cosmology”, Living Rev. Relativity, 11, lrr-2008-4, (2008). URL
(cited on 03 July 2008):
http://www.livingreviews.org/lrr-2008-4. |
|
| 74 | Borissov, R., “Graphical evolution of spin network states”, Phys. Rev. D, 55, 6099–6111, (1997).
Related online version (cited on 29 September 1997):
|
|
| 75 | Borissov, R., De Pietri, R., and Rovelli, C., “Matrix elements of Thiemann’s Hamiltonian
constraint in loop quantum gravity”, Class. Quantum Grav., 14, 2793–2823, (1997). Related
online version (cited on 29 September 1997):
|
|
| 76 | Boulatov, D.V., “A model of three-dimensional lattice gravity”, Mod. Phys. Lett. A, 7(18),
1629–1646, (1992). Related online version (cited on 5 August 2007):
|
|
| 77 | Brink, D.M., and Satchler, G.R., Angular Momentum, (Claredon Press, Oxford, U.K., 1968), 2nd edition. | |
| 78 | Brügmann, B., Gambini, R., and Pullin, J., “Jones polynomials for intersecting knots as physical states of quantum gravity”, Nucl. Phys. B, 385, 587–603, (1992). | |
| 79 | Brügmann, B., Gambini, R., and Pullin, J., “Knot invariants as nondegenerate quantum geometries”, Phys. Rev. Lett., 68(4), 431–434, (1992). | |
| 80 | Brügmann, B., Gambini, R., and Pullin, J., “How the Jones polynomial gives rise to physical states of quantum general relativity”, Gen. Relativ. Gravit., 25, 1–6, (1993). | |
| 81 | Brügmann, B., and Pullin, J., “Intersecting N loop solutions of the Hamiltonian constraint of quantum gravity”, Nucl. Phys. B, 363, 221–244, (1991). | |
| 82 | Campiglia, M., Di Bartolo, C., Gambini, R., and Pullin, J., “Uniform discretizations: A new
approach for the quantization of totally constrained systems”, Phys. Rev. D, 74, 124012, (2006).
Related online version (cited on 5 August 2007):
|
|
| 83 | Campiglia, M., Gambini, R., and Pullin, J., “Loop quantization of spherically symmetric
midi-superspaces”, Class. Quantum Grav., 24, 3649, (2007). Related online version (cited on 5
August 2007):
|
|
| 84 | Carlip, S., “Statistical Mechanics and Black Hole Thermodynamics”, Nucl. Phys. B (Proc.
Suppl.), 57, 8–12, (1997). Related online version (cited on 29 September 1997):
|
|
| 85 | Carlip, S., “Statistical Mechanics of the Three-Dimensional Euclidean Black Hole”, Phys. Rev.
D, 55(2), 878–882, (1997). Related online version (cited on 29 September 1997):
|
|
| 86 | Cherrington, W.J., “Finiteness and dual variables for Lorentzian spin foam models”, Class.
Quantum Grav., 23, 701, (2006). Related online version (cited on 5 August 2007):
|
|
| 87 | Christensen, J.D., “Spin networks, spin foams and loop quantum gravity”, project homepage,
The University of Western Ontario. URL (cited on 5 August 2007):
|
|
| 88 | Citanović, P., Group Theory, (Nordita, Copenhagen, Denmark, 1984). Related online version
(cited on 1 March 2005):
|
|
| 89 | Connes, A., Noncommutative Geometry, (Academic Press, San Diego, U.S.A., 1994). | |
| 90 | Connes, A., and Rovelli, C., “Von Neumann algebra automorphisms and time versus
thermodynamics relation in general covariant quantum theories”, Class. Quantum Grav.,
11(12), 2899–2917, (1994). Related online version (cited on 29 September 1997):
|
|
| 91 | Corichi, A., and Hauser, A., “Bibliography of publications related to Classical and Quantum
Gravity in terms of Connection and Loop Variables”, (2005). URL (cited on 5 August 2007):
|
|
| 92 | Corichi, A., and Krasnov, K.V., “Ambiguities in loop quantization: area vs. electric charge”,
Mod. Phys. Lett. A, 13, 1339–1346, (1998). Related online version (cited on 29 September
1997):
|
|
| 93 | Crane, L., Perez, A., and Rovelli, C., “A finiteness proof for the Lorentzian state sum spinfoam
model for quantum general relativity”, (2001). URL (cited on 5 August 2007):
|
|
| 94 | Crane, L., Perez, A., and Rovelli, C., “Perturbative finiteness in spin-foam quantum gravity”, Phys. Rev. Lett., 87, 181301, (2001). | |
| 95 | Dantas, C.C., “Christine’s Background Independence”, personal homepage, Dantas, C.C. URL
(cited on 5 August 2007):
|
|
| 96 | De Pietri, R., “On the relation between the connection and the loop representation of quantum
gravity”, Class. Quantum Grav., 14, 53–69, (1997). Related online version (cited on 29
September 1997):
|
|
| 97 | De Pietri, R., Freidel, L., Krasnov, K., and Rovelli, C., “Barrett–Crane model from a
Boulatov–Ooguri field theory over a homogeneous space”, Nucl. Phys., B754, 785, (2000).
Related online version (cited on 5 August 2007):
|
|
| 98 | De Pietri, R., and Rovelli, C., “Geometry Eigenvalues and the Scalar Product from Recoupling
Theory in Loop Quantum Gravity”, Phys. Rev. D, 54(4), 2664–2690, (1996). Related online
version (cited on 29 September 1997):
|
|
| 99 | Di Bartolo, C., Gambini, R., and Griego, J., “Extended loop representation of quantum
gravity”, Phys. Rev. D, 51(2), 502–516, (1995). Related online version (cited on 29 September
1997):
|
|
| 100 | Di Bartolo, C., Gambini, R., Griego, J., and Pullin, J., “Extended loops: A new arena for nonperturbative quantum gravity”, Phys. Rev. Lett., 72, 3638–3641, (1994). | |
| 101 | Di Bartolo, C., Gambini, R., Porto, R.A., and Pullin, J., “Dirac-like approach for consistent
discretizations of classical constrained theories”, J. Math. Phys., 46, 012901, 1–14, (2005).
Related online version (cited on 5 August 2007):
|
|
| 102 | Dittrich, B., Freidel, L., , and Speziale, S., “Linearized dynamics from the 4-simplex Regge
action”, (2007). URL (cited on 5 August 2007):
|
|
| 103 | Ehlers, J., and Friedrich, H., eds., Canonical Gravity: From Classical to Quantum, Proceedings of the 117th WE Heraeus Seminar held at Bad Honnef, Germany, 13 – 17 September 1993, (Springer, Berlin, Germany; New York, U.S.A., 1994). | |
| 104 | Engle, J., Livine, E.R., Pereira, R., and Rovelli, C., “LQG vertex with finite Immirzi
parameter”, (2007). URL (cited on 26 April 2008):
|
|
| 105 | Engle, J., Pereira, R., and Rovelli, C., “Flipped spinfoam vertex and loop gravity”, Nucl. Phys.,
798, 251–290, (2007). Related online version (cited on 5 August 2007):
|
|
| 106 | Engle, J., Pereira, R., and Rovelli, C., “Loop-Quantum-Gravity Vertex-Amplitude”, Phys. Rev.
Lett., 99, 161301, (2007). Related online version (cited on 5 August 2007):
|
|
| 107 | Ezawa, K., “Nonperturbative solutions for canonical quantum gravity: An overview”, Phys.
Rep., 286, 271–348, (1997). Related online version (cited on 29 September 1997):
|
|
| 108 | Fairbairn, W.J., “Fermions in three-dimensional spinfoam quantum gravity”, Gen. Relativ.
Gravit., 39, 427, (2007). Related online version (cited on 5 August 2007):
|
|
| 109 | Fairbairn, W.J., and Livine, E.R., “3d spinfoam quantum gravity: Matter as a phase of the
group field theory”, (2007). URL (cited on 5 August 2007):
|
|
| 110 | Fairbairn, W.J., and Rovelli, C., “Separable Hilbert space in loop quantum gravity”, J. Math.
Phys., 45, 2802, (2004). Related online version (cited on 5 August 2007):
|
|
| 111 | Fleischhack, C., “Irreducibility of the Weyl algebra in loop quantum gravity”, Phys. Rev. Lett., 97, 061302, (2006). | |
| 112 | Fleischhack, C., “Kinematical Uniqueness Of Loop Quantum Gravity”, in Fauser, B., Tolksdorf, J., and Zeidler, E., eds., Quantum Gravity: Mathematical Models and Experimental Bounds, 2nd Blaubeuren Workshop on Mathematical and Physical Aspects of Quantum Gravity, Blaubeuren, Germany, July 28 – August 01, 2005, pp. 203–219, (Birkhäuser, Basel, Switzerland et al., 2006). | |
| 113 | Freidel, L., “Group Field Theory: An Overview”, Int. J. Theor. Phys., 44, 1769–1783, (2005).
Related online version (cited on 5 August 2007):
|
|
| 114 | Freidel, L., and Krasnov, K., “A New Spin Foam Model for 4d Gravity”, (2007). URL (cited
on 26 April 2008):
|
|
| 115 | Freidel, L., and Krasnov, K.V., “Spin Foam Models and the Classical Action Principle”, Adv.
Theor. Math. Phys., 2, 1183–1247, (1999). Related online version (cited on 5 August 2007):
|
|
| 116 | Freidel, L., and Livine, E.R., “Effective 3d quantum gravity and non-commutative quantum
field theory”, Phys. Rev. Lett., 96, 221301, (2006). Related online version (cited on 5 August
2007):
|
|
| 117 | Freidel, L, and Livine, E.R., “Ponzano–Regge model revisited. III: Feynman diagrams and
effective field theory”, Class. Quantum Grav., 23, 2021–2062, (2006). Related online version
(cited on 5 August 2007):
|
|
| 118 | Freidel, L., and Louapre, D., “Ponzano–Regge model revisited. I: Gauge fixing, observables and
interacting spinning particles”, Class. Quantum Grav., 21, 5685, (2004). Related online version
(cited on 5 August 2007):
|
|
| 119 | Freidel, L., and Louapre, D., “Ponzano–Regge model revisited. II: Equivalence with
Chern-Simons”, (2004). URL (cited on 5 August 2007):
|
|
| 120 | Freidel, L., Oriti, D., and Ryan, J., “A group field theory for 3d quantum gravity coupled to a
scalar field”, (2007). URL (cited on 5 August 2007):
|
|
| 121 | Frittelli, S., Lehner, L., and Rovelli, C., “The complete spectrum of the area from recoupling
theory in loop quantum gravity”, Class. Quantum Grav., 13, 2921–2932, (1996). Related online
version (cited on 29 September 1997):
|
|
| 122 | Gambini, R., Griego, J., and Pullin, J., “Chern–Simons states in spin-network quantum
gravity”, Phys. Lett. B, 413, 260–266, (1997). URL (cited on 29 September 1997):
|
|
| 123 | Gambini, R., Porto, R.A., and Pullin, J., “Realistic clocks, universal decoherence and the black
hole information paradox”, Phys. Rev. Lett., 93, 240401, (2004). Related online version (cited
on 5 August 2007):
|
|
| 124 | Gambini, R., Porto, R.A., and Pullin, J., “A relational solution to the problem of time
in quantum mechanics and quantum gravity: a fundamental mechanism for quantum
decoherence”, New J. Phys., 6, 45, (2004). URL (cited on 5 August 2007):
|
|
| 125 | Gambini, R., Porto, R.A., and Pullin, J., “Fundamental decoherence from quantum gravity: A
pedagogical review”, Gen. Relativ. Gravit., 39, 1143, (2007). Related online version (cited on
5 August 2007):
|
|
| 126 | Gambini, R., and Pullin, J., “Quantum Einstein–Maxwell fields: a unified viewpoint from the
loop representation”, Phys. Rev. D, 47, R5214–R5218, (1993). Related online version (cited on
29 September 1997):
|
|
| 127 | Gambini, R., and Pullin, J., “The Gauss linking number in quantum gravity”, in Baez, J.C., ed., Knots and Quantum Gravity, Proceedings of a workshop held at UC Riverside on May 14 – 16, 1993, Oxford Lecture Series in Mathematics and its Applications, vol. 1, pp. 63–76, (Clarendon Press; Oxford University Press, Oxford, U.K.; New York, U.S.A., 1994). | |
| 128 | Gambini, R., and Pullin, J., Loops, Knots, Gauge Theory and Quantum Gravity, Cambridge Monographs on Mathematical Physics, (Cambridge University Press, Cambridge, U.K.; New York, U.S.A., 1996). | |
| 129 | Gambini, R., and Pullin, J., “A rigorous solution of the quantum Einstein equations”, Phys.
Rev. D, 54, 5935–5938, (1996). Related online version (cited on 29 September 1997):
|
|
| 130 | Gambini, R., and Pullin, J., “Nonstandard optics from quantum spacetime”, Phys. Rev. D, 59,
124021, (1999). Related online version (cited on 5 August 2007):
|
|
| 131 | Gambini, R., and Pullin, J., “Canonical quantization of general relativity in discrete
space-times”, Phys. Rev. Lett., 90, 021301, (2003). Related online version (cited on 5 August
2007):
|
|
| 132 | Gambini, R., and Trias, A., “On the geometrical origin of gauge theories”, Phys. Rev. D, 23, 553–555, (1981). | |
| 133 | Gambini, R., and Trias, A., “Gauge dynamics in the C representation”, Nucl. Phys. B, 278, 436–448, (1986). | |
| 134 | Giesel, K., and Thiemann, T., “Algebraic quantum gravity (AQG): I. Conceptual setup”, Class.
Quantum Grav., 24, 2465–2497, (2007). Related online version (cited on 5 August 2007):
|
|
| 135 | Giesel, K., and Thiemann, T., “Algebraic quantum gravity (AQG): II. Semiclassical analysis”,
Class. Quantum Grav., 24, 2499–2564, (2007). Related online version (cited on 5 August 2007):
|
|
| 136 | Giesel, K., and Thiemann, T., “Algebraic quantum gravity (AQG): III. Semiclassical
perturbation theory”, Class. Quantum Grav., 24, 2565–2588, (2007). Related online version
(cited on 5 August 2007):
|
|
| 137 | Grot, N., and Rovelli, C., “Moduli-space of knots with intersections”, J. Math. Phys., 37,
3014–3021, (1996). Related online version (cited on 29 September 1997):
|
|
| 138 | Guichardet, A., Lecture Notes in Mathematics, vol. 261, (Springer, Berlin, Germany; New York, U.S.A., 1972). | |
| 139 | Hartle, J., “The Quantum Mechanics of Cosmology”, in Coleman, S., Hartle, J.B., Piran, T., and Weinberg, S., eds., Quantum Cosmology and Baby Universes, Proceedings of the 1989 Jerusalem Winter School, (World Scientific, Singapore, 1991). | |
| 140 | Hartle, J.B., “Spacetime quantum mechanics and the quantum mechanics of spacetime”, in Julia, B., and Zinn-Justin, J., eds., Gravitation and Quantizations, Proceedings of the Les Houches Summer School, Session LVII, 5 July – 1 August 1992, (Elsevier, Amsterdam, Netherlands, New York, U.S.A., 1995). | |
| 141 | Hartle, J.B., and Hawking, S.W., “Wave function of the Universe”, Phys. Rev. D, 28, 2960–2975, (1983). | |
| 142 | Hawking, S.W., “Black hole explosions?”, Nature, 248, 30–31, (1974). | |
| 143 | Hawking, S.W., “Particle creation by black holes”, Commun. Math. Phys., 43, 199–220, (1975). | |
| 144 | Hawking, S.W., “Quantum Cosmology”, in DeWitt, B.S., and Stora, R., eds., Relativity, Groups and Topology II, Proceedings of the 40th Summer School of Theoretical Physics, NATO Advanced Study Institute, Les Houches, France, June 27 – August 4, 1983, pp. 333–379, (North-Holland, Amsterdam, Netherlands; New York, U.S.A., 1984). | |
| 145 | Higuchi, A., “Linearized gravity in DeSitter spacetime as a representation of SO(4, 1)”, Class. Quantum Grav., 8, 2005–2021, (1991). | |
| 146 | Horowitz, G.T., Lowe, D.A., and Maldacena, J.M., “Statistical Entropy of Nonextremal
Four-Dimensional Black Holes and U-Duality”, Phys. Rev. Lett., 77, 430–433, (1996). Related
online version (cited on 29 September 1997):
|
|
| 147 | Horowitz, G.T., Maldacena, J.M., and Strominger, A., “Nonextremal Black Hole Microstates
and U-duality”, Phys. Lett. B, 383, 151–159, (1996). Related online version (cited on 29
September 1997):
|
|
| 148 | Horowitz, G.T., and Strominger, A., “Counting States of Near-Extremal Black Holes”, Phys.
Rev. Lett., 77, 2368–2371, (1996). Related online version (cited on 29 September 1997):
|
|
| 149 | Husain, V., “Intersecting loop solutions of the hamiltonian constraint of quantum general relativity”, Nucl. Phys. B, 313(3), 711–724, (1988). | |
| 150 | Immirzi, G., “Quantizing Regge Calculus”, Class. Quantum Grav., 13, 2385–2394, (1996).
Related online version (cited on 29 September 1997):
|
|
| 151 | Immirzi, G., “Quantum gravity and Regge calculus”, Nucl. Phys. B (Proc. Suppl.), 57, 65–72,
(1997). Related online version (cited on 29 September 1997):
|
|
| 152 | Immirzi, G., “Real and Complex Connections for Canonical Gravity”, Class. Quantum Grav.,
14, L177–L181, (1997). Related online version (cited on 29 September 1997):
|
|
| 153 | Imperial College London, “Theoretical Physics Group”, institutional homepage. URL (cited on
29 September 1997):
|
|
| 154 | Isham, C.J., “Topological and global aspects of quantum theory”, in DeWitt, B.S., and Stora, R., eds., Relativity, Groups and Topology II, Proceedings of the 40th Summer School of Theoretical Physics, NATO Advanced Study Institute, Les Houches, France, June 27 – August 4, 1983, pp. 1059–1290, (North-Holland, Amsterdam, Netherlands; New York, U.S.A., 1984). | |
| 155 | Isham, C.J., “Structural Issues in Quantum Gravity”, in Francaviglia, M., Longhi, G.,
Lusanna, L., and Sorace, E., eds., General Relativity and Gravitation, Proceedings of the 14th
International Conference on General Relativity and Gravitation, Florence, Italy, 6 – 12 August
1995, pp. 167–209, (World Scientific, Singapore; River Edge, U.S.A., 1997). Related online
version (cited on 29 September 1997):
|
|
| 156 | Iwasaki, J., “A definition of the Ponzano–Regge quantum gravity model in terms of surfaces”, J. Math. Phys., 36(11), 6288–6298, (1995). | |
| 157 | Iwasaki, J., and Rovelli, C., “Gravitons as Embroidery on the Weave”, Int. J. Mod. Phys. D, 1, 533–557, (1992). | |
| 158 | Iwasaki, J., and Rovelli, C., “Gravitons from loops: non-perturbative loop-space quantum gravity contains the graviton-physics approximation”, Class. Quantum Grav., 1, 1653–1656, (1994). | |
| 159 | Jacobson, T.A., “Black-hole entropy”, Workshop on Mathematical Problems of Quantum
Gravity, held at the Erwin Schrödinger International Institute for Mathematical Sciences,
Vienna, Austria, July to August 1996, conference paper, (1996). Related online version (cited
on 5 August 2007):
|
|
| 160 | Jacobson, T.A., “Renormalization and black hole entropy in Loop Quantum Gravity”, (2007).
URL (cited on 5 August 2007):
|
|
| 161 | Jacobson, T.A., and Smolin, L., “Nonperturbative quantum geometries”, Nucl. Phys. B, 299(2), 295–345, (1988). | |
| 162 | Kauffman, L.H., and Lins, S.L., Temperley–Lieb Recoupling Theory and Invariants of 3-Manifolds, Annals of Mathematics Studies, vol. 134, (Princeton University Press, Princeton, U.S.A., 1994). | |
| 163 | Kodama, H., “Holomorphic wave function of the Universe”, Phys. Rev. D, 42, 2548–2565, (1990). | |
| 164 | Kogut, J., and Susskind, L., “Hamiltonian formulation of Wilson’s lattice gauge theories”, Phys. Rev. D, 11, 395–408, (1975). | |
| 165 | Konopka, T., Markopoulou, F., and Smolin, L., “Quantum graphity”, (2006). URL (cited on 5
August 2007):
|
|
| 166 | Kowalski-Glikman, J., “Doubly Special Relativity: facts and prospects”, in Oriti, D., ed.,
Approaches to Quantum Gravity: Toward a New Understanding of Space, Time and Matter,
(Cambridge University Press, Cambridge, U.K., 2007). Related online version (cited on 5
August 2007):
|
|
| 167 | Krasnov, K., “Quantum gravity with matter via group field theory”, Class. Quantum Grav.,
24, 981–1022, (2007). Related online version (cited on 5 August 2007):
|
|
| 168 | Krasnov, K.V., “Quantum loop representation for fermions coupled to Einstein–Maxwell field”,
Phys. Rev. D, 53, 1874–1888, (1996). Related online version (cited on 29 September 1997):
|
|
| 169 | Krasnov, K.V., “Quantum loop representation for fermions coupled to Einstein–Maxwell field”,
Phys. Rev. D, 53(4), 1874–1888, (1996). Related online version (cited on 29 September 1997):
|
|
| 170 | Krasnov, K.V., “Geometrical entropy from loop quantum gravity”, Phys. Rev. D, 55(6),
3505–3513, (1997). Related online version (cited on 29 September 1997):
|
|
| 171 | Krasnov, K.V., “On statistical mechanics of Schwarzschild black hole”, Gen. Relativ. Gravit.,
30, 53–68, (1998). Related online version (cited on 29 September 1997):
|
|
| 172 | Les Universités à Aix en Provence, “Centre de Physique Théorique, Marseille”, institutional
homepage. URL (cited on 5 August 2007):
|
|
| 173 | Lewandowski, J., “Topological Measure and Graph-Differential Geometry on the Quotient
Space of Connections”, Int. J. Mod. Phys. D, 3, 207–210, (1994). Related online version (cited
on 29 September 1997):
|
|
| 174 | Lewandowski, J., “The Operators of Quantum Gravity”, Workshop on Canonical Quantum Gravity, Warsaw, Poland, conference paper, (1995). | |
| 175 | Lewandowski, J., “Volume and quantizations”, Class. Quantum Grav., 14, 71–76, (1997).
Related online version (cited on 29 September 1997):
|
|
| 176 | Lewandowski, J., OkoÅ‚ów, A., Sahlmann, H., and Thiemann, T., “Uniqueness of
Diffeomorphism Invariant States on Holonomy-Flux Algebras”, Commun. Math. Phys., 267,
703–733, (2005). Related online version (cited on 5 August 2007):
|
|
| 177 | Livine, E.R., “Towards a covariant loop quantum gravity”, in Oriti, D., ed., Approaches to
Quantum Gravity: Toward a New Understanding of Space, Time and Matter, (Cambridge
University Press, Cambridge, U.K., 2007). Related online version (cited on 5 August 2007):
|
|
| 178 | Livine, E.R., and Oriti, D., “Implementing causality in the spin foam quantum geometry”,
Nucl. Phys. B, 663, 231–279, (2003). Related online version (cited on 5 August 2007):
|
|
| 179 | Livine, E.R., and Speziale, S., “The Feynman propagator for spin foam quantum gravity”,
Phys. Rev. Lett., 94, 111301, (2005). Related online version (cited on 5 August 2007):
|
|
| 180 | Livine, E.R., and Speziale, S., “Group Integral Techniques for the Spinfoam Graviton
Propagator”, J. High Energy Phys., 2006(11), 092, (2005). Related online version (cited on 5
August 2007):
|
|
| 181 | Livine, E.R., and Speziale, S., “Consistently Solving the Simplicity Constraints for Spinfoam
Quantum Gravity”, (2007). URL (cited on 26 April 2008):
|
|
| 182 | Livine, E.R., and Speziale, S., “A new spinfoam vertex for quantum gravity”, (2007). URL
(cited on 5 August 2007):
|
|
| 183 | Loll, R., “The volume operator in discretized quantum gravity”, Phys. Rev. Lett., 75,
3048–3051, (1995). Related online version (cited on 29 September 1997):
|
|
| 184 | Loll, R., “Spectrum of the volume operator in quantum gravity”, Nucl. Phys. B, 460(1),
143–154, (1996). Related online version (cited on 29 September 1997):
|
|
| 185 | Laboratoire de Physique Théorique & Astroparticules, “LOOPS 04”, conference homepage,
(2004). URL (cited on 5 August 2007):
|
|
| 186 | Max Planck Society, “LOOPS 05”, conference homepage, (2005). URL (cited on 5 August
2007):
|
|
| 187 | Universidad Nacional Autónoma de México, “LOOPS 07”, conference homepage, (2007).
URL (cited on 5 August 2007):
|
|
| 188 | Magliaro, E., Perini, C., and Rovelli, C., “Numerical indications on the semiclassical limit of
the flipped vertex”, (2007). URL (cited on 26 April 2008):
|
|
| 189 | Major, S., “Reading Guide to loop Quantum Gravity (lQG)”, online resource, Hamilton College.
URL (cited on 5 August 2007):
|
|
| 190 | Markopoulou, F., “Quantum causal histories”, Class. Quantum Grav., 17, 2059, (2000). Related
online version (cited on 5 August 2007):
|
|
| 191 | Markopoulou, F., and Smolin, L., “Causal evolution of spin networks”, Nucl. Phys. B, 508,
409–430, (1997). Related online version (cited on 29 September 1997):
|
|
| 192 | Markopoulou, F., and Smolin, L., “Causal evolution of spin networks”, Phys. Rev. D, 58,
084032, (1998). Related online version (cited on 29 September 1997):
|
|
| 193 | Markopoulou, F., and Smolin, L., “Disordered locality in loop quantum gravity states”, Class.
Quantum Grav., 24, 3813, (2007). Related online version (cited on 5 August 2007):
|
|
| 194 | Marolf, D., Green’s bracket algebra and their quantization, Ph.D. Thesis, (University of Texas at Austin, Austin, U.S.A., 1992). | |
| 195 | Marolf, D., “Loop Representation for 2+1 Gravity on a Torus”, Class. Quantum Grav., 10,
2625–2648, (1993). Related online version (cited on 29 September 1997):
|
|
| 196 | Marolf, D., “Quantum Observables and Recollapsing Dynamics”, Class. Quantum Grav., 12, 1199–1220, (1995). | |
| 197 | Marolf, D., “The spectral analysis inner product”, in Jantzen, R.T., Mac Keiser, G., and Ruffini, R., eds., Proceedings of the Seventh Marcel Grossman Meeting on General Relativity: On Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, Proceedings of the Meeting held at Stanford University, 24 – 30 July 1994, pp. 851–853, (World Scientific, Singapore; River Edge, U.S.A., 1996). | |
| 198 | Marolf, D., and Mourão, J.M., “On the support of the Ashtekar–Lewandowski measure”,
Commun. Math. Phys., 170, 583–606, (1995). Related online version (cited on 29 September
1997):
|
|
| 199 | Mattingly, D., “Modern Tests of Lorentz Invariance”, Living Rev. Relativity, 8, lrr-2005-5,
(2005). URL (cited on 27 April 2008):
http://www.livingreviews.org/lrr-2005-5. |
|
| 200 | Max Planck Society, “Max Planck Institute for Gravitational Physics (Albert Einstein
Institute)”, institutional homepage. URL (cited on 5 August 2007):
|
|
| 201 | Mikovic, A., “Spin foam models of Yang–Mills theory coupled to gravity”, Class. Quantum
Grav., 20, 239, (2003). Related online version (cited on 5 August 2007):
|
|
| 202 | Mikovic, A., “Spin Network Wavefunction and the Graviton Propagator”, (2007). URL (cited
on 5 August 2007):
|
|
| 203 | Modesto, L., “Disappearance of black hole singularity in quantum gravity”, Phys. Rev. D, 70,
124009, (2004). Related online version (cited on 5 August 2007):
|
|
| 204 | Modesto, L., “Loop quantum gravity and black hole singularity”, (2007). URL (cited on 5
August 2007):
|
|
| 205 | Modesto, L., and Rovelli, C., “Particle scattering in loop quantum gravity”, Phys. Rev. Lett.,
95, 191301, (2005). Related online version (cited on 5 August 2007):
|
|
| 206 | Morales-Técotl, H.A., and Rovelli, C., “Fermions in quantum gravity”, Phys. Rev. Lett., 72,
3642–3645, (1994). Related online version (cited on 29 September 1997):
|
|
| 207 | Morales-Técotl, H.A., and Rovelli, C., “Loop Space Representation of Quantum Fermions and Gravity”, Nucl. Phys. B, 451, 325–361, (1995). | |
| 208 | National University of Singapore, “The Loop Quantum Gravity Group of NUS”, project
homepage. URL (cited on 5 August 2007):
|
|
| 209 | Noui, K., and Perez, A., “Three dimensional loop quantum gravity: Coupling to point particles”,
Class. Quantum Grav., 22, 4489, (2005). Related online version (cited on 5 August 2007):
|
|
| 210 | Noui, K., and Perez, A., “Three dimensional loop quantum gravity: Physical scalar product
and spin foam models”, Class. Quantum Grav., 22, 1739, (2005). Related online version (cited
on 5 August 2007):
|