 |
1 |
Agishtein, M.E., and Migdal, A.A., “Critical behavior of dynamically triangulated quantum
gravity in four dimensions”, Nucl. Phys., 385, 395–412, (1992). [ hep-lat/9204004].
|
|
2 |
Agishtein, M.E., and Migdal, A.A., “Simulations of four-dimensional simplicial quantum gravity
as dynamical triangulation”, Mod. Phys. Lett. A, 7, 1039–1061, (1992).
|
|
3 |
Ambjørn, J., “Quantum gravity represented as dynamical triangulations”, Class. Quantum
Grav., 12, 2079–2134, (1995).
|
|
4 |
Ambjørn, J., “Recent progress in the theory of random surfaces and simplicial quantum
gravity”, Nucl. Phys. B (Proc. Suppl.), 42, 3–16, (1995). [hep-lat/9412006].
|
|
5 |
Ambjørn, J., “Quantization of geometry”, in David, F., Ginsparg, P., and Zinn-Justin, J.,
eds., Fluctuating Geometries in Statistical Mechanics and Field Theory, Proceedings of the Les
Houches Summer School, Session LXII, 2 August – 9 September 1994, pp. 77–193, (Elsevier,
Amsterdam; New York, 1996). [hep-th/9411179].
|
|
6 |
Ambjørn, J., Burda, Z., Jurkiewicz, J., and Kristjansen, C.F., “Quantum gravity represented
as dynamical triangulations”, Acta Phys. Pol. B, 23, 991–1030, (1992).
|
|
7 |
Ambjørn, J., Burda, Z., Jurkiewicz, J., and Kristjansen, C.F., “Four-dimensional dynamically
triangulated gravity coupled to matter”, Phys. Rev. D, 48, 3695–3703, (1993). [hep-th/9303042].
|
|
8 |
Ambjørn, J., Carfora, M., and Marzuoli, A., The Geometry of Dynamical Triangulations,
Lecture Notes in Physics, vol. m50, (Springer, Berlin; New York, 1997). [hep-th/9612069].
|
|
9 |
Ambjørn, J., Durhuus, B., and Jonsson, T., Quantum geometry, (Cambridge University Press,
Cambridge, 1997).
|
|
10 |
Ambjørn, J., Jain, S., Jurkiewicz, J., and Kristjansen, C.F., “Observing 4-d baby universes in
quantum gravity”, Phys. Lett. B, 305, 208–213, (1993). [hep-th/9303041].
|
|
11 |
Ambjørn, J., and Jurkiewicz, J., “Four-dimensional simplicial quantum gravity”, Phys. Lett.
B, 278, 42–50, (1992).
|
|
12 |
Ambjørn, J., and Jurkiewicz, J., “On the exponential bound in four-dimensional simplicial
gravity”, Phys. Lett. B, 335, 355–358, (1994). [hep-lat/9405010].
|
|
13 |
Ambjørn, J., and Jurkiewicz, J., “Computational ergodicity of S4”, Phys. Lett. B, 345, 435–440,
(1995). [hep-lat/9411008].
|
|
14 |
Ambjørn, J., and Jurkiewicz, J., “Scaling in four dimensional quantum gravity”, Nucl. Phys.
B, 451, 643–676, (1995). [hep-th/9503006].
|
|
15 |
Ambjørn, J., Jurkiewicz, J., Bilke, S., Burda, Z., and Petersson, B., “Z(2) gauge matter coupled
to 4-d simplicial quantum gravity”, Mod. Phys. Lett. A, 9, 2527–2542, (1994).
|
|
16 |
Ambjørn, J., Jurkiewicz, J., and Kristjansen, C.F., “Quantum gravity, dynamical triangulation
and higher derivative regularization”, Nucl. Phys. B, 393, 601–632, (1993). [hep-th/9208032].
|
|
17 |
Ambjørn, J., Jurkiewicz, J., and Watabiki, Y., “Dynamical triangulations, a gateway to
quantum gravity?”, J. Math. Phys., 36, 6299–6339, (1995). [hep-th/9503108].
|
|
18 |
Ambjørn, J., Nielsen, J.L., Rolf, J., and Savvidy, G.K., “Spikes in quantum Regge calculus”,
Class. Quantum Grav., 14, 3225–3241, (1997). [gr-qc/9704079].
|
|
19 |
Ambjørn, J., Savvidy, G.K., and Savvidy, K.G., “Alternative actions for quantum gravity and
the intrinsic rigidity of the space-time”, Nucl. Phys. B, 486, 390–412, (1997). [hep-th/9606140].
|
|
20 |
Antoniadis, I., Mazur, P.O., and Mottola, E., “Scaling behavior of quantum four-geometries”,
Phys. Lett. B, 323, 284–291, (1994). [hep-th/9301002].
|
|
21 |
Antoniadis, I., Mazur, P.O., and Mottola, E., “Criticality and scaling in 4d quantum gravity”,
Phys. Lett. B, 394, 49–56, (1997). [hep-th/9611145].
|
|
22 |
Ashtekar, A., “New Variables for Classical and Quantum Gravity”, Phys. Rev. Lett., 57,
2244–2247, (1986).
|
|
23 |
Ashtekar, A., “New Hamiltonian Formulation of General Relativity”, Phys. Rev. D, 36(6),
1587–1602, (1987).
|
|
24 |
Bander, M., “Functional measure for lattice gravity”, Phys. Rev. Lett., 57, 1825–1827, (1986).
|
|
25 |
Barbero G, J.F., “Real Ashtekar Variables for Lorentzian Signature Space-Times”, Phys. Rev.
D, 51(10), 5507–5510, (1995). [gr-qc/9410014].
|
|
26 |
Bartocci, C., Bruzzo, U., Carfora, M., and Marzuoli, A., “Entropy of random coverings and 4D
quantum gravity”, J. Geom. Phys., 18, 247–294, (1996). [hep-th/9412097].
|
|
27 |
Beirl, W., Berg, B.A., Krishnan, B., Markum, H., and Riedler, J., “Static quark potentials in
quantum gravity”, Phys. Lett. B, 348, 355–359, (1995). [hep-lat/9502006].
|
|
28 |
Beirl, W., Berg, B.A., Krishnan, B., Markum, H., and Riedler, J., “SU(2) potentials in quantum
gravity”, Nucl. Phys. B (Proc. Suppl.), 42, 707–709, (1995). [hep-lat/9412037].
|
|
29 |
Beirl, W., Gerstenmayer, E., and Markum, H., “Exploration of simplicial quantum gravity in
four dimensions”, Nucl. Phys. B (Proc. Suppl.), 26, 575–577, (1992).
|
|
30 |
Beirl, W., Gerstenmayer, E., and Markum, H., “Influence of the measure on simplicial quantum
gravity in four-dimensions”, Phys. Rev. Lett., 69, 713–716, (1992). [hep-lat/9204010].
|
|
31 |
Beirl, W., Gerstenmayer, E., Markum, H., and Riedler, J., “Gravitational action versus entropy
on simplicial lattices in four-dimensions”, Nucl. Phys. B (Proc. Suppl.), 30, 764–767, (1993).
[hep-lat/9211044].
|
|
32 |
Beirl, W., Gerstenmayer, E., Markum, H., and Riedler, J., “The well defined phase of simplicial
quantum gravity in four-dimensions”, Phys. Rev. D, 49, 5231–5239, (1994). [hep-lat/9402002].
|
|
33 |
Beirl, W., Hauke, A., Homolka, P., Krishnan, B., Kröger, H., Markum, H., and Riedler, J.,
“The phase structure of pure Regge gravity”, Nucl. Phys. B (Proc. Suppl.), 47, 625–628, (1996).
[hep-lat/9510021].
|
|
34 |
Beirl, W., Hauke, A., Homolka, P., Markum, H., and Riedler, J., “Correlation functions in
lattice formulations of quantum gravity”, Nucl. Phys. B (Proc. Suppl.), 53, 735–738, (1997).
[hep-lat/9608055].
|
|
35 |
Beirl, W., Markum, H., and Riedler, J., “On the measure of simplicial quantum gravity
in four-dimensions”, in Carr, J., and Perrottet, M., eds., High Energy Physics (HEP 93),
Proceedings of the International Europhysics Conference, Marseille, France, 22 – 28 July 1993,
pp. 214–216, (Editions Frontières, Gif-sur-Yvette, France, 1994). [hep-lat/9309008].
|
|
36 |
Beirl, W., Markum, H., and Riedler, J., “Regge gravity on general triangulations”, Phys. Lett.
B, 341, 12–18, (1994). [hep-lat/9407020].
|
|
37 |
Beirl, W., Markum, H., and Riedler, J., “Two point functions of four-dimensional simplicial
quantum gravity”, Nucl. Phys. B (Proc. Suppl.), 34, 736–738, (1994). [hep-lat/9312053].
|
|
38 |
Berg, B.A., “Exploratory numerical study of discrete quantum gravity”, Phys. Rev. Lett., 55,
904–907, (1985).
|
|
39 |
Berg, B.A., “Entropy versus energy on a fluctuating four-dimensional Regge skeleton”, Phys.
Lett. B, 176, 39–44, (1986).
|
|
40 |
Berg, B.A., “Quantum gravity motivated computer simulations”, in Mitter, H., and Widder,
F., eds., Particle Physics and Astrophysics: Current Viewpoints, Proceedings of the XXVII
Internationale Universitätswochen für Kernphysik, Schladming, Austria, February 1988, pp.
223–259, (Springer, Berlin; New York, 1989).
|
|
41 |
Berg, B.A., Beirl, W., Krishnan, B., Markum, H., and Riedler, J., “Phase diagram of Regge
quantum gravity coupled to SU(2) gauge theory”, Phys. Rev. D, 54, 7421–7425, (1996).
[hep-lat/9605036].
|
|
42 |
Berg, B.A., and Krishnan, B., “Asymptotic freedom and Regge-Einstein quantum gravity”,
Nucl. Phys. B (Proc. Suppl.), 30, 768–770, (1993).
|
|
43 |
Berg, B.A., and Krishnan, B., “Phase structure of SU(2) lattice gauge theory with quantum
gravity”, Phys. Lett. B, 318, 59–62, (1993). [hep-lat/9306006].
|
|
44 |
Berg, B.A., Krishnan, B., and Katoot, M., “Asymptotic freedom and Euclidean quantum
gravity”, Nucl. Phys. B, 404, 359–384, (1993). [hep-lat/9209001].
|
|
45 |
Bialas, P., “Correlations in fluctuating geometries”, Nucl. Phys. B (Proc. Suppl.), 53, 739–742,
(1997). [hep-lat/9608029].
|
|
46 |
Bialas, P., and Burda, Z., “Collapse of 4-d random geometries”, Phys. Lett. B, 416, 281–285,
(1998). [hep-lat/9707028].
|
|
47 |
Bialas, P., Burda, Z., and Johnston, D.A., “Balls in boxes and quantum gravity”, Nucl. Phys.
B (Proc. Suppl.), 63, 763–765, (1998). [hep-lat/9709056].
|
|
48 |
Bialas, P., Burda, Z., Krzywicki, A., and Petersson, B., “Focusing on the fixed point of 4-d
simplicial gravity”, Nucl. Phys. B, 472, 293–308, (1996). [hep-lat/9601024].
|
|
49 |
Bialas, P., Burda, Z., Petersson, B., and Tabaczek, J., “Appearance of mother universe and
singular vertices in random geometries”, Nucl. Phys. B, 495, 463–476, (1997). [hep-lat/9608030].
|
|
50 |
Bilke, S., Burda, Z., and Jurkiewicz, J., “Simplicial quantum gravity on a computer”, Comput.
Phys. Commun., 85, 278–292, (1995). [hep-lat/9403017].
|
|
51 |
Bilke, S., Burda, Z., Krzywicki, A., and Petersson, B., “Phase transition and topology in 4-d
simplicial gravity”, Nucl. Phys. B (Proc. Suppl.), 53, 743–745, (1997). [hep-lat/9608027].
|
|
52 |
Bilke, S., Burda, Z., Krzywicki, A., Petersson, B., Tabaczek, J., and Thorleifsson, G., “4-d
simplicial quantum gravity interacting with gauge matter fields”, Phys. Lett. B, 418, 266–272,
(1998). [hep-lat/9710077].
|
|
53 |
Bilke, S., Burda, Z., and Petersson, B., “Topology in 4-d simplicial quantum gravity”, Phys.
Lett. B, 395, 4–9, (1997). [hep-lat/9611020].
|
|
54 |
Bowick, M., “Random surfaces and lattice gravity”, Nucl. Phys. B (Proc. Suppl.), 63, 77–88,
(1998). [hep-lat/9710005].
|
|
55 |
Brewin, L., “The Riemann and extrinsic curvature tensors in the Regge calculus”, Class.
Quantum Grav., 5, 1193–1203, (1988).
|
|
56 |
Brügmann, B., “Measure of four-dimensional simplicial quantum gravity”, Nucl. Phys. B
(Proc. Suppl.), 30, 760–763, (1993).
|
|
57 |
Brügmann, B., “Nonuniform measure in four-dimensional simplicial quantum gravity”, Phys.
Rev. D, 47, 3330–3338, (1993). [hep-lat/9210001].
|
|
58 |
Brügmann, B., and Marinari, E., “4D simplicial quantum gravity with a nontrivial measure”,
Phys. Rev. Lett., 70, 1908–1911, (1993). [hep-lat/9210002].
|
|
59 |
Brügmann, B., and Marinari, E., “Monte Carlo simulations of 4d simplicial quantum gravity”,
J. Math. Phys., 36, 6340–6352, (1995). [hep-lat/9504004].
|
|
60 |
Brügmann, B., and Marinari, E., “More on the exponential bound of four-dimensional
simplicial quantum gravity”, Phys. Lett. B, 349, 35–41, (1995). [hep-th/9411060].
|
|
61 |
Burda, Z., Kownacki, J.P., and Krzywicki, A., “Towards a nonperturbative renormalization of
Euclidean quantum gravity”, Phys. Lett. B, 356, 466–471, (1995). [hep-th/9505104].
|
|
62 |
Caracciolo, S., Menotti, P., and Pelissetto, A., “Lattice supergravity and graviton-gravitino
doubling”, Nucl. Phys. B, 296, 868–876, (1988).
|
|
63 |
Caracciolo, S., and Pelissetto, A., “Analysis of the critical behavior or the de Sitter quantum
gravity on a hypercubic lattice”, Phys. Lett. B, 193, 237–240, (1987).
|
|
64 |
Caracciolo, S., and Pelissetto, A., “Nonperturbative lattice gravity”, Nucl. Phys. B (Proc.
Suppl.), 4, 78–82, (1987).
|
|
65 |
Caracciolo, S., and Pelissetto, A., “A numerical investigation about quantum measure in lattice
gravity”, Phys. Lett. B, 207, 468–470, (1988).
|
|
66 |
Caracciolo, S., and Pelissetto, A., “Phases and topological structures of de Sitter lattice
gravity”, Nucl. Phys. B, 299, 693–718, (1988).
|
|
67 |
Caracciolo, S., and Pelissetto, A., “From lattice gauge theory towards gravity”, in Damgaard,
P.H., Hüffel, H., and Rosenblum, A., eds., Probabilistic Methods in Quantum Field Theory
and Quantum Gravity, Proceedings of the NATO Advanced Research Workshop, held August
21 – 27, 1989, in Cargèse, France, NATO ASI Series B, vol. 224, pp. 37–54, (Plenum Press,
New York, 1990).
|
|
68 |
Carfora, M., and Marzuoli, A., “Entropy estimates for simplicial quantum gravity”, J. Geom.
Phys., 16, 99–119, (1995).
|
|
69 |
Caselle, M., D’Adda, A., and Magnea, L., “Doubling of all matter fields coupled with gravity
on a lattice”, Phys. Lett. B, 192, 411–414, (1987).
|
|
70 |
Caselle, M., D’Adda, A., and Magnea, L., “Lattice gravity and supergravity as spontaneously
broken gauge theories of the (super)Poincaré group”, Phys. Lett. B, 192, 406–410, (1987).
|
|
71 |
Caselle, M., D’Adda, A., and Magnea, L., “Regge Calculus as a local theory of the Poincaré
group”, Phys. Lett. B, 232, 457–461, (1989).
|
|
72 |
Catterall, S.M., “Simulations of dynamically triangulated gravity”, Comput. Phys. Commun.,
87, 409–415, (1995). [hep-lat/9405026].
|
|
73 |
Catterall, S.M., “Lattice quantum gravity: review and recent developments”, Nucl. Phys. B
(Proc. Suppl.), 47, 59–70, (1996). [hep-lat/9510008].
|
|
74 |
Catterall, S.M., Kogut, J.B., and Renken, R.L., “Is there an exponential bound in
four-dimensional simplicial gravity?”, Phys. Rev. Lett., 72, 4062–4065, (1994). [hep-lat/9403019].
|
|
75 |
Catterall, S.M., Kogut, J.B., and Renken, R.L., “Phase structure of four-dimensional simplicial
quantum gravity”, Phys. Lett. B, 328, 277–283, (1994). [hep-lat/9401026].
|
|
76 |
Catterall, S.M., Kogut, J.B., and Renken, R.L., “Simulations of four-dimensional simplicial
quantum gravity”, Nucl. Phys. B (Proc. Suppl.), 34, 733–735, (1994).
|
|
77 |
Catterall, S.M., Kogut, J.B., and Renken, R.L., “Singular structure in 4-d simplicial gravity”,
Phys. Lett. B, 416, 274–280, (1998). [hep-lat/9709007].
|
|
78 |
Catterall, S.M., Kogut, J.B., Renken, R.L., and Thorleifsson, G., “Baby universes in 4-d
dynamical triangulation”, Phys. Lett. B, 366, 72–76, (1996). [hep-lat/9509004].
|
|
79 |
Catterall, S.M., Thorleifsson, G., Kogut, J.B., and Renken, R.L., “Singular vertices and the
triangulation space of the d sphere”, Nucl. Phys. B, 468, 263–276, (1996). [hep-lat/9512012].
|
|
80 |
Catterall, S.M., Thorleifsson, G., Kogut, J.B., and Renken, R.L., “Simplicial gravity
in dimension greater than two”, Nucl. Phys. B (Proc. Suppl.), 53, 756–759, (1997).
[hep-lat/9608042].
|
|
81 |
Cheeger, J., Müller, W., and Schrader, R., “Lattice gravity or Riemannian structure on
piecewise linear spaces”, in Breitenlohner, P., and Dürr, H.P., eds., Unified Theories of
Elementary Particles: Critical Assessment and Prospects, Proceedings of the Heisenberg
Symposium, held in Munich, July 16 — 21, 1981, Lecture Notes in Physics, vol. 160, pp.
176–188, (Springer, Berlin; New York, 1982).
|
|
82 |
Cheeger, J., Müller, W., and Schrader, R., “On the curvature of piecewise flat spaces”,
Commun. Math. Phys., 92, 405–454, (1984).
|
|
83 |
Corichi, A., and Zapata, J.A., “On diffeomorphism invariance for lattice theories”, Nucl. Phys.
B, 493, 475–490, (1997). [gr-qc/9611034].
|
|
84 |
Das, A., Kaku, M., and Townsend, P.K., “Lattice formulation of general relativity”, Phys. Lett.
B, 81, 11–14, (1979).
|
|
85 |
David, F., “Simplicial quantum gravity and random lattices”, 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, pp. 679–750, (Elsevier, Amsterdam, New York, 1995).
[hep-th/9303127].
|
|
86 |
de Bakker, B.V., “Absence of barriers in dynamical triangulation”, Phys. Lett. B, 348, 35–38,
(1995). [hep-lat/9411070].
|
|
87 |
de Bakker, B.V., “Further evidence that the transition of 4-d dynamical triangulation is first
order”, Phys. Lett. B, 389, 238–242, (1996). [hep-lat/9603024].
|
|
88 |
de Bakker, B.V., and Smit, J., “Euclidean gravity attracts”, Nucl. Phys. B (Proc. Suppl.), 34,
739–741, (1994). [hep-lat/9311064].
|
|
89 |
de Bakker, B.V., and Smit, J., “Volume dependence of the phase boundary in 4-d dynamical
riangulation”, Phys. Lett. B, 334, 304–308, (1994). [hep-lat/9405013].
|
|
90 |
de Bakker, B.V., and Smit, J., “Curvature and scaling in 4-d dynamical triangulation”, Nucl.
Phys. B, 439, 239–258, (1995). [hep-lat/9407014].
|
|
91 |
de Bakker, B.V., and Smit, J., “Two point functions in 4-d dynamical triangulation”, Nucl.
Phys. B, 454, 343–356, (1995). [hep-lat/9503004].
|
|
92 |
de Bakker, B.V., and Smit, J., “Correlations and binding in 4-d dynamical triangulation”,
Nucl. Phys. B (Proc. Suppl.), 47, 613–616, (1996). [hep-lat/9510041].
|
|
93 |
de Bakker, B.V., and Smit, J., “Gravitational binding in 4D dynamical triangulation”, Nucl.
Phys. B, 484, 476–492, (1997). [hep-lat/9604023].
|
|
94 |
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). [gr-qc/9602023].
|
|
95 |
Egawa, H.S., Hotta, T., Izubuchi, T., Tsuda, N., and Yukawa, T., “Scaling behaviour in 4-d
simplicial quantum gravity”, Prog. Theor. Phys., 97, 539–552, (1997). [hep-lat/9611028].
|
|
96 |
Egawa, H.S., Hotta, T., Izubuchi, T., Tsuda, N., and Yukawa, T., “Scaling structures in
four-dimensional simplicial gravity”, Nucl. Phys. B (Proc. Suppl.), 53, 760–762, (1997).
[hep-lat/9608149].
|
|
97 |
Egawa, H.S., Tsuda, N., and Yukawa, T., “Common structures in 2-d, 3-d and 4-d simplicial
quantum gravity”, Nucl. Phys. B (Proc. Suppl.), 63, 736–738, (1998). [hep-lat/9709099].
|
|
98 |
Egawa, H.S., Tsuda, N., and Yukawa, T., “Common structures in simplicial quantum gravity”,
Phys. Lett. B, 459, 97–104, (1998). [hep-lat/9802010].
|
|
99 |
Ezawa, K., “Multi-plaquette solutions for discretized Ashtekar gravity”, Mod. Phys. Lett. A,
11, 2921–2932, (1996).
|
|
100 |
Ezawa, K., “Nonperturbative solutions for canonical quantum gravity: An overview”, Phys.
Rep., 286, 271–348, (1997). [gr-qc/9601050].
|
|
101 |
Feinberg, G., Friedberg, R., Lee, T.D., and Ren, H.C., “Lattice gravity near the continuum
limit”, Nucl. Phys. B, 245, 343–368, (1984).
|
|
102 |
Fort, H., Gambini, R., and Griego, J., “Lattice knot theory and quantum gravity in the loop
representation”, Phys. Rev. D, 56, 2127–2143, (1997). [gr-qc/9608033].
|
|
103 |
Friedberg, R., and Lee, T.D., “Derivation of Regge’s action from Einstein’s theory of general
relativity”, Nucl. Phys. B, 242, 145–166, (1984).
|
|
104 |
Fröhlich, J., “Regge calculus and discretized gravitational functional integrals”, in
Non-Perturbative Quantum Field Theory: Mathematical Aspects and Applications. Selected
Papers of Jürg Fröhlich, Advanced Series in Mathematical Physics, vol. 15, pp. 523–545,
(World Scientific, Singapore; River Edge, 1992).
|
|
105 |
Gross, M., and Varsted, S., “Elementary moves and ergodicity in d-dimensional simplicial
quantum gravity”, Nucl. Phys. B, 378, 367–380, (1992).
|
|
106 |
Hamber, H.W., “Simplicial quantum gravity”, in Osterwalder, K., and Stora, R., eds., Critical
Phenomena, Random Systems, Gauge Theories, Proceedings of the Les Houches Summer
School, Session XLIII, 1 August – 7 September 1984), pp. 375–439, (Elsevier, Amsterdam; New
York, 1986).
|
|
107 |
Hamber, H.W., “Simplicial quantum gravity from two-dimensions to four-dimensions”, in
Damgaard, P.H., Hüffel, H., and Rosenblum, A., eds., Probabilistic Methods in Quantum Field
Theory and Quantum Gravity, Proceedings of the NATO Advanced Research Workshop, held
August 21 – 27, 1989, in Cargèse, France, NATO ASI Series B, vol. 224, pp. 77–87, (Plenum
Press, New York, 1990).
|
|
108 |
Hamber, H.W., “Critical behavior in simplicial quantum gravity”, Nucl. Phys. B (Proc. Suppl.),
20, 728–732, (1991).
|
|
109 |
Hamber, H.W., “Simulations of discrete quantized gravity”, Int. J. Supercomput. Appl., 5,
84–97, (1991).
|
|
110 |
Hamber, H.W., “Fluctuations and correlations in simplicial quantum gravity”, Nucl. Phys. B
(Proc. Suppl.), 26, 581–583, (1992).
|
|
111 |
Hamber, H.W., “Phases of 4-d simplicial quantum gravity”, Phys. Rev. D, 45, 507–512, (1992).
|
|
112 |
Hamber, H.W., “Phases of simplicial quantum gravity”, Nucl. Phys. B (Proc. Suppl.), 25,
150–175, (1992).
|
|
113 |
Hamber, H.W., “Phases of simplicial quantum gravity in four dimensions: estimates for the
critical exponents”, Nucl. Phys. B, 400, 347–389, (1993).
|
|
114 |
Hamber, H.W., “Smooth and rough phases of quantized gravity”, Nucl. Phys. B (Proc. Suppl.),
30, 751–755, (1993).
|
|
115 |
Hamber, H.W., “Invariant correlations in simplicial gravity”, Phys. Rev. D, 50, 3932–3941,
(1994). [hep-th/9311024].
|
|
116 |
Hamber, H.W., “Scalar fields coupled to four-dimensional lattice gravity”, in Carr, J.,
and Perrottet, M., eds., High Energy Physics (HEP 93), Proceedings of the International
Europhysics Conference, Marseille, France, 22 – 28 July 1993, pp. 211–213, (Editions
Frontières, Gif-sur-Yvette, France, 1994). [hep-th/9310152].
|
|
117 |
Hamber, H.W., and Williams, R.M., “Higher derivative quantum gravity on a simplicial
lattice”, Nucl. Phys. B, 248, 392–415, (1984).
|
|
118 |
Hamber, H.W., and Williams, R.M., “Nonperturbative simplicial quantum gravity”, Phys. Lett.
B, 157, 368–374, (1985).
|
|
119 |
Hamber, H.W., and Williams, R.M., “Simplicial quantum gravity with higher derivative terms:
formalism and numerical results in four-dimensions”, Nucl. Phys. B, 269, 712–734, (1986).
|
|
120 |
Hamber, H.W., and Williams, R.M., “Simplicial gravity coupled to scalar matter”, Nucl. Phys.
B, 415, 463–496, (1994). [hep-th/9308099].
|
|
121 |
Hamber, H.W., and Williams, R.M., “Newtonian potential in quantum Regge gravity”, Nucl.
Phys. B, 435, 361–398, (1995). [hep-th/9406163].
|
|
122 |
Hamber, H.W., and Williams, R.M., “Gauge invariance in simplicial gravity”, Nucl. Phys. B,
487, 345–408, (1997). [hep-th/9607153].
|
|
123 |
Hamber, H.W., and Williams, R.M., “On the measure in simplicial gravity”, Phys. Rev. D, 59,
064014, 1–8, (1997).
|
|
124 |
Hartle, J.B., “Simplicial minisuperspace. I. General discussion”, J. Math. Phys., 26, 804–814,
(1985).
|
|
125 |
Hartle, J.B., “Numerical quantum gravity”, in Sato, H., and Nakamura, T., eds., Gravitational
Collapse and General Relativity, Proceedings of Yamada Conference XIV, Kyoto International
Conference Hall, Japan, 7 – 11 April 1986, pp. 329–338, (World Scientific, Singapore, 1986).
|
|
126 |
Hartle, J.B., “Simplicial minisuperspace. II. Some classical solutions on simple triangulations”,
J. Math. Phys., 27, 287–295, (1986).
|
|
127 |
Hartle, J.B., “Simplicial minisuperspace. III. Integration contours in a five-simplex model”, J.
Math. Phys., 30, 452–460, (1989).
|
|
128 |
Hartle, J.B., and Sorkin, R.D., “Boundary terms in the action for the Regge calculus”, Gen.
Relativ. Gravit., 13, 541–549, (1981).
|
|
129 |
Hotta, T., Izubuchi, T., and Nishimura, J., “Singular vertices in the strong coupling phase of
four-dimensional simplicial gravity”, Prog. Theor. Phys., 94, 263–270, (1995). [hep-lat/9709073].
|
|
130 |
Hotta, T., Izubuchi, T., and Nishimura, J., “Singular vertices in the strong coupling phase
of four-dimensional simplicial gravity”, Nucl. Phys. B (Proc. Suppl.), 47, 609–612, (1996).
[hep-lat/9511023].
|
|
131 |
Immirzi, G., “Quantizing Regge Calculus”, Class. Quantum Grav., 13, 2385–2394, (1996).
[gr-qc/9512040].
|
|
132 |
Immirzi, G., “Quantum gravity and Regge calculus”, Nucl. Phys. B (Proc. Suppl.), 57, 65–72,
(1997). [gr-qc/9701052].
|
|
133 |
Isham, C.J., “Quantum gravity”, in MacCallum, M.A.H., ed., General Relativity and
Gravitation, Proceedings of the 11th International Conference on General Relativity
and Gravitation, Stockholm, July 6 – 12, 1986, pp. 99–127, (Cambridge University Press,
Cambridge, New York, 1987).
|
|
134 |
Jevicki, A., and Ninomiya, M., “Functional formulation of Regge gravity”, Phys. Rev. D, 33,
1634–1637, (1986).
|
|
135 |
Johnston, D.A., “Gravity and random surfaces on the lattice: a review”, Nucl. Phys. B (Proc.
Suppl.), 53, 43–55, (1997). [hep-lat/9607021].
|
|
136 |
Jurkiewicz, J., “Simplicial gravity and random surfaces”, Nucl. Phys. B (Proc. Suppl.), 30,
108–121, (1993).
|
|
137 |
Kaku, M., “Lattices, gravity and supergravity”, in Hawking, S.W., and Roček, M., eds.,
Superspace and Supergravity, Proceedings of the Nuffield workshop, Cambridge, June 16 – July
12, 1980, pp. 503–515, (Cambridge University Press, Cambridge; New York, 1981).
|
|
138 |
Kaku, M., “Strong-coupling approach to the quantization of conformal gravity”, Phys. Rev. D,
27, 2819–2834, (1983).
|
|
139 |
Kaku, M., “Generally covariant lattices, the random calculus, and the strong coupling approach
to the renormalization of gravity”, in Batalin, I.A., Isham, C.J., and Vilkovisky, G.A., eds.,
Quantum Field Theory and Quantum Statistics. Essays in Honour of the Sixtieth Birthday of
E.S. Fradkin, Vol. 2: Models of Field Theory, pp. 141–163, (A. Hilger, Bristol, 1987).
|
|
140 |
Kawamoto, N., and Nielsen, H.B., “Lattice gauge gravity with fermions”, Phys. Rev. D, 43,
1150–1156, (1991).
|
|
141 |
Khatsymovsky, V., “On the quantization of Regge links”, Phys. Lett. B, 323, 292–295, (1994).
|
|
142 |
Kondo, K., “Euclidean quantum gravity on a flat lattice”, Prog. Theor. Phys., 72, 841–852,
(1984).
|
|
143 |
Kristjansen, C.F., “Higher derivative regularization in 4-d quantum gravity”, Nucl. Phys. B
(Proc. Suppl.), 30, 756–759, (1993).
|
|
144 |
Krzywicki, A., “Perspectives in lattice gravity”, Acta Phys. Pol. B, 27, 827–838, (1996).
[hep-lat/9512023].
|
|
145 |
Leutwyler, H., “Gravitational field: equivalence of Feynman quantization and canonical
quantization”, Phys. Rev., 134, 1155–1182, (1964).
|
|
146 |
Loll, R., “Non-perturbative solutions for lattice quantum gravity”, Nucl. Phys. B, 444, 619–639,
(1995). [gr-qc/9502006].
|
|
147 |
Loll, R., “The volume operator in discretized quantum gravity”, Phys. Rev. Lett., 75,
3048–3051, (1995). [gr-qc/9506014].
|
|
148 |
Loll, R., “A real alternative to quantum gravity in loop space”, Phys. Rev. D, 54, 5381–5384,
(1996). [gr-qc/9602041].
|
|
149 |
Loll, R., “Spectrum of the volume operator in quantum gravity”, Nucl. Phys. B, 460(1),
143–154, (1996). [gr-qc/9511030].
|
|
150 |
Loll, R., “Further results on geometric operators in quantum gravity”, Class. Quantum Grav.,
14, 1725–1741, (1997). [gr-qc/9612068].
|
|
151 |
Loll, R., “Imposing det E > 0 in discrete quantum gravity”, Phys. Lett. B, 399, 227–232,
(1997). [gr-qc/9703033].
|
|
152 |
Loll, R., “Latticing quantum gravity”, Nucl. Phys. B (Proc. Suppl.), 57, 255–258, (1997).
[gr-qc/9701007].
|
|
153 |
Loll, R., “Quantizing canonical gravity in the real domain”, in Dremin, I.M., and Semikhatov,
A.M., eds., Second International A. D. Sakharov Conference on Physics, Proceedings of the
conference held in Moscow, Russia 20 – 24 May 1996, pp. 280–283, (World Scientific, Singapore;
River Edge, 1997). [gr-qc/9701031].
|
|
154 |
Loll, R., “Simplifying the Spectral Analysis of the Volume Operator”, Nucl. Phys. B, 500,
405–420, (1997). [gr-qc/9706038].
|
|
155 |
Loll, R., “Still on the way to quantizing gravity”, in Bassan, M. et al., ed., Proceedings
of the 12th Italian Conference on General Relativity and Gravitational Physics, Rome,
Italy, September 23–27, 1996, pp. 193–206, (World Scientific, Singapore; River Edge, 1997).
[gr-qc/9701032].
|
|
156 |
Loll, R., “On the diffeomorphism commutators of lattice quantum gravity”, Class. Quantum
Grav., 15, 799–809, (1998). [gr-qc/9708025].
|
|
157 |
MacDowell, S.W., and Mansouri, R., “Unified geometric theory of gravity and supergravity”,
Phys. Rev. Lett., 38, 739–742, (1977).
|
|
158 |
Mäkelä, J., “Phase space coordinates and the Hamiltonian constraint of Regge calculus”,
Phys. Rev. D, 49, 2882–2896, (1994).
|
|
159 |
Mannion, C.L.T., and Taylor, J.G., “General relativity on a flat lattice”, Phys. Lett. B, 100,
261–266, (1981).
|
|
160 |
Menotti, P., “Nonperturbative quantum gravity”, Nucl. Phys. B (Proc. Suppl.), 17, 29–38,
(1990).
|
|
161 |
Menotti, P., “The role of diffeomorphisms in the integration over a finite dimensional space of
geometries”, Nucl. Phys. B (Proc. Suppl.), 63, 760–762, (1998). [hep-lat/9709101].
|
|
162 |
Menotti, P., and Peirano, P.P., “Diffeomorphism invariant measure for finite dimensional
geometries”, Nucl. Phys. B, 488, 719–734, (1997). [hep-th/9607071].
|
|
163 |
Menotti, P., and Peirano, P.P., “Functional integration for Regge gravity”, Nucl. Phys. B (Proc.
Suppl.), 57, 82–90, (1997). [gr-qc/9702020].
|
|
164 |
Menotti, P., and Peirano, P.P., “Functional integration on Regge geometries”, Nucl. Phys. B
(Proc. Suppl.), 53, 780–782, (1997). [hep-lat/9607073].
|
|
165 |
Menotti, P., and Pelissetto, A., “Reflection positivity and graviton doubling in Euclidean lattice
gravity”, Ann. Phys. (N.Y.), 170(2), 287–309, (1986).
|
|
166 |
Menotti, P., and Pelissetto, A., “Gauge invariance and functional integration measure in lattice
gravity”, Nucl. Phys. B, 288, 813–831, (1987).
|
|
167 |
Menotti, P., and Pelissetto, A., “Poincaré, de Sitter, and conformal gravity on the lattice”,
Phys. Rev. D, 35, 1194–1204, (1987).
|
|
168 |
Misner, C.W., Thorne, K.S., and Wheeler, J.A., Gravitation, (W.H. Freeman, San Francisco,
1973).
|
|
169 |
Myers, E., “Unbounded action and ‘density of states”’, Class. Quantum Grav., 9, 405–411,
(1992).
|
|
170 |
Nabutovsky, A., and Ben-Av, R., “Noncomputability arising in dynamical triangulation model
of four-dimensional quantum gravity”, Commun. Math. Phys., 157, 93–98, (1993).
|
|
171 |
Pachner, U., “Konstruktionsmethoden und das kombinatorische Homöomorphieproblem für
Triangulationen kompakter semilinearer Mannigfaltigkeiten”, Abh. Math. Sem. Univ. Hamburg,
57, 69–85, (1986).
|
|
172 |
Pachner, U., “P.L. homeomorphic manifolds are equivalent by elementary shellings”, Europ. J.
Combinatorics, 12, 129–145, (1991).
|
|
173 |
Rebbi, C., ed., Lattice gauge theories and Monte Carlo simulations, (World Scientific,
Singapore, 1983).
|
|
174 |
Regge, T., “General Relativity without Coordinates”, Nuovo Cimento A, 19, 558–571, (1961).
|
|
175 |
Reisenberger, M.P., “A lattice worldsheet sum for 4-d Euclidean general relativity”, arXiv
e-print, (1997). [gr-qc/9711052].
|
|
176 |
Ren, H.-C., “Matter fields in lattice gravity”, Nucl. Phys. B, 301, 661–684, (1988).
|
|
177 |
Renken, R.L., “The renormalization group and dynamical triangulations”, Nucl. Phys. B (Proc.
Suppl.), 53, 783–785, (1997). [hep-lat/9610037].
|
|
178 |
Renken, R.L., “A renormalization group for dynamical triangulations in arbitrary dimensions”,
Nucl. Phys. B, 485, 503–516, (1997). [hep-lat/9607074].
|
|
179 |
Renteln, P., “Some results of SU(2) spinorial lattice gravity”, Class. Quantum Grav., 7,
493–502, (1990).
|
|
180 |
Renteln, P., and Smolin, L., “A lattice approach to spinorial quantum gravity”, Class. Quantum
Grav., 6, 275–294, (1989).
|
|
181 |
Roček, M., and Williams, R.M., “Quantum Regge calculus”, Phys. Lett. B, 104, 31–37, (1981).
|
|
182 |
Roček, M., and Williams, R.M., “Introduction to quantum Regge calculus”, in Isham, C., and
Duff, M., eds., Quantum Structure of Space and Time, Proceedings of the Nuffield Workshop,
Imperial College, London, 3 – 21 August, 1981, pp. 105–116, (Cambridge University Press,
Cambridge; New York, 1982).
|
|
183 |
Roček, M., and Williams, R.M., “The quantization of Regge calculus”, Z. Phys. C, 21,
371–381, (1984).
|
|
184 |
Römer, H., and Zähringer, M., “Functional integration and the diffeomorphism group in
Euclidean lattice quantum gravity”, Class. Quantum Grav., 3, 897–910, (1986).
|
|
185 |
Smit, J., “Remarks on the quantum gravity interpretation of 4D dynamical triangulation”,
Nucl. Phys. B (Proc. Suppl.), 53, 786–788, (1997). [hep-lat/9608082].
|
|
186 |
Smolin, L., “Quantum gravity on a lattice”, Nucl. Phys. B, 148, 333–372, (1979).
|
|
187 |
Sorkin, R.D., “Time evolution problem in Regge calculus”, Phys. Rev. D, 12, 385–396, (1975).
|
|
188 |
Thiemann, T., “Closed formula for the matrix elements of the volume operator in canonical
quantum gravity”, J. Math. Phys., 39, 3347–3371, (1998). [gr-qc/9606091].
|
|
189 |
Tomboulis, E.T., “Unitarity in higher-derivative quantum gravity”, Phys. Rev. Lett., 52,
1173–1176, (1984).
|
|
190 |
Tuckey, P.A., and Williams, R.M., “Regge calculus: a brief review and bibliography”, Class.
Quantum Grav., 9, 1409–1422, (1992).
|
|
191 |
Varsted, S., “Three- and four-dimensional simplicial quantum gravity”, Nucl. Phys. B (Proc.
Suppl.), 26, 578–580, (1992).
|
|
192 |
Varsted, S., “Four-dimensional quantum gravity by dynamical triangulations”, Nucl. Phys. B,
412, 406–414, (1994).
|
|
193 |
Weingarten, D., “Euclidean quantum gravity on a lattice”, Nucl. Phys. B, 210, 229–245, (1982).
|
|
194 |
West, P.C., “A geometric gravity Lagrangian”, Phys. Lett. B, 76, 569–570, (1978).
|
|
195 |
Wheater, J.F., “Random surfaces and lattice quantum gravity”, Nucl. Phys. B (Proc. Suppl.),
34, 15–28, (1994).
|
|
196 |
Williams, R.M., “Quantum Regge calculus in the Lorentzian domain and its Hamiltonian
formulation”, Class. Quantum Grav., 3, 853–869, (1986).
|
|
197 |
Williams, R.M., “Discrete quantum gravity: the Regge calculus approach”, Int. J. Mod. Phys.
B, 6, 2097–2108, (1992).
|
|
198 |
Williams, R.M., “Simplicial quantum gravity in four dimensions and invariants of discretized
manifolds”, J. Math. Phys., 36, 6276–6287, (1995).
|
|
199 |
Williams, R.M., “Recent progress in Regge calculus”, Nucl. Phys. B (Proc. Suppl.), 57, 73–81,
(1997). [gr-qc/9702006].
|