1 Abbott, L.F., Grisaru, M.T., and Schaefer, R.K., “The background field method and the S-matrix”, Nucl. Phys. B, 229, 372–380, (1983).
2 Adams, A., Arkani-Hamed, N., Dubovsky, S., Nicolis, A., and Rattazzi, R., “Causality, Analyticity and an IR Obstruction to UV Completion”, (2006). URL (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/0602178.
3 Aida, T., Kitazawa, Y., Kawai, H., and Ninomiya, M., “Conformal invariance and renormalization group in quantum gravity near two-dimensions”, Nucl. Phys. B, 427, 158, (1994). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/9404171.
4 Alekseev, G.A., “Monodromy data parametrization of the spaces of local solutions of integrable reductions of Einstein’s field equations”, Theor. Math. Phys., 143, 720, (2005). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/gr-qc/0503043. Teor. Mat. Fiz. 143 (2005) 278.
5 Ambjørn, J., Jurkiewicz, J., and Loll, R., “Dynamically triangulating Lorentzian quantum gravity”, Nucl. Phys. B, 610, 347, (2001). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/0105267.
6 Ambjørn, J., Jurkiewicz, J., and Loll, R., “Emergence of a 4D world from causal quantum gravity”, Phys. Rev. Lett., 93, 131301, (2004). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/0404156.
7 Ambjørn, J., Jurkiewicz, J., and Loll, R., “Spectral dimension of the universe”, Phys. Rev. Lett., 95, 171301, (2005). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/0505113.
8 Ambjørn, J., Jurkiewicz, J., and Watabiki, Y., “Dynamical triangulations, a gateway to quantum gravity?”, J. Math. Phys., 36, 6299–6339, (1995). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/9503108.
9 Anderson, I.M., and Torre, C.G., “Classification of generalized symmetries for the vacuum Einstein equations”, Commun. Math. Phys., 176, 479, (1996). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/gr-qc/9404030.
10 Anselmi, D., “Absence of higher derivatives in the renormalization of propagators in quantum field theories with infinitely many couplings”, Class. Quantum Grav., 20, 2355–2378, (2003). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/0212013.
11 Anselmi, D., “Infinite reduction of couplings in non-renormalizable quantum field theory”, J. High Energy Phys., 2005(08), 029, (2005). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/0503131.
12 Antoniadis, I., and Mottola, E., “Four dimensional quantum gravity in the conformal sector”, Phys. Rev. D, 45, 2013, (1992).
13 Arnone, S., Morris, R.T., and Rosten, O.J., “A generalised manifestly gauge invariant exact renormalisation group for SU(N) Yang–Mills”, (2005). URL (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/0507154.
14 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, vol. 1 of Oxford Lecture Series in Mathematics and its Applications, 21–61, (Clarendon Press; Oxford University Press, Oxford, U.K.; New York, U.S.A., 1994). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/gr-qc/9311010.
15 Ashtekar, A., and Lewandowski, J., “Background independent quantum gravity: A status report”, Class. Quantum Grav., 21, R53–R152, (2004). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/gr-qc/0404018.
16 Atance, M., and Cortes, J.L., “Effective field theory of gravity, reduction of couplings and the renormalization group”, Phys. Rev. D, 54, 4973, (1996). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-ph/9605455.
17 Avramadi, I.G., “Covariant techniques for computation of the heat kernel”, Rev. Math. Phys., 11, 947–980, (1999). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/9704166.
18 Avramidi, I.G., Covariant Methods for the Calculation of the Effective Action in Quantum Field Theory and Investigation of Higher-Derivative Quantum Gravity, Ph.D. Thesis, (Moscow State University, Moscow, USSR, 1986). URL (cited on 05 October 2006):
External Linkhttp://arXiv.org/abs/hep-th/9510140. English translation by the author 1995.
19 Avramidy, I.G., and Barvinsky, A.O., “Asymptotic Freedom In Higher Derivative Quantum Gravity”, Phys. Lett. B, 159, 269, (1985).
20 Babelon, O., and Viallet, C., “The Riemannian geometry of the configuration space of gauge theories”, Commun. Math. Phys., 81, 515, (1981).
21 Bagnuls, C., and Bervillier, C., “Exact renormalization group equations: An introductory review”, Phys. Rep., 348, 91, (2001). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/0002034.
22 Balog, J., and Niedermaier, M., “Off-shell dynamics of the O(3) NLS model beyond Monte Carlo and perturbation theory”, Nucl. Phys. B, 500, 421, (1997). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/9612039.
23 Barbero G, J.F., Mena Marugán, G.A., and Villasenor, E.J.S., “Particles and vacuum for perturbative and non-perturbative Einstein–Rosen gravity”, Phys. Rev. D, 70, 044028, (2004). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/gr-qc/0406087.
24 Baumann, K., “On canonical irreducible quantum field theories describing bosons and fermions”, J. Math. Phys., 29, 1225, (1988).
25 Becchi, C., and Collina, R., “Further comments on the background field method and gauge-invariant effective actions”, Nucl. Phys. B, 562, 412–430, (1999).
26 Belinski, V., and Verdaguer, E., Gravitational solitons, (Cambridge University Press, Cambridge, U.K.; New York, U.S.A., 2001).
27 Ben-Avraham, D., and Havlin, S., Diffusion and reactions in fractals and disordered systems, (Cambridge University Press, Cambridge, U.K.; New York, U.S.A., 2000).
28 Bentivegna, E., Bonanno, A., and Reuter, M., “Confronting the IR fixed point cosmology with high redshift supernova data”, J. Cosmol. Astropart. Phys., 2004(01), 001, (2004). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/astro-ph/0303150.
29 Berges, J., Tetradis, N., and Wetterich, C., “Non-perturbative renormalization flow in quantum field theory and statistical physics”, Phys. Rep., 363, 223, (2002). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-ph/0005122.
30 Bern, Z., “Perturbative Quantum Gravity and its Relation to Gauge Theory”, Living Rev. Relativity, 5, lrr-2002-5, (2002). URL (cited on 15 May 2006):
http://www.livingreviews.org/lrr-2002-5.
31 Bern, Z., Mottola, E., and Blau, S.K., “General covariance of the path integral for quantum gravity”, Phys. Rev. D, 43, 1212, (1991).
32 Bjerrum-Bohr, N.E.J., Donoghue, F.J., and Holstein, B.R., “Quantum gravitational corrections to the nonrelativistic scattering potential of two masses”, Phys. Rev. D, 67, 1–12, 084033, (2003). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/0211072. Erratum: Phys. Rev. D, 71, 069903, (2005).
33 Bjerrum-Bohr, N.E.J., Donoghue, J.F., and Holstein, B.R., “On the parameterization dependence of the energy momentum tensor and the metric”, (2006). URL (cited on 14 November 2006):
External Linkhttp://arXiv.org/abs/gr-qc/0610096.
34 Blaizot, J.P., Mendez-Galain, R., and Wschebor, N., “Non perturbative renormalisation group and momentum dependence of n-point functions (I)”, (2005). URL (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/0512317.
35 Bonanno, A., and Reuter, M., “Quantum gravity effects near the null black hole singularity”, Phys. Rev. D, 60, 084011, (1999). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/gr-qc/9811026.
36 Bonanno, A., and Reuter, M., “Renormalization group improved black hole spacetimes”, Phys. Rev. D, 62, 043008, (2000). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/0002196.
37 Bonanno, A., and Reuter, M., “Cosmology of the Planck era from a renormalization group for quantum gravity”, Phys. Rev. D, 65, 043508, (2002). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/0106133.
38 Bonanno, A., and Reuter, M., “Cosmological perturbations in renormalization group derived cosmologies”, Int. J. Mod. Phys. D, 13, 107, (2004). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/astro-ph/0210472.
39 Bonanno, A., and Reuter, M., “Proper time flow equation for gravity”, J. High Energy Phys., 2005(02), 035, (2005). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/0410191.
40 Bonanno, A., and Reuter, M., “Spacetime structure of an evaporating black hole in quantum gravity”, Phys. Rev. D, 73, 083005, (2006). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/0602159.
41 Bonneau, G., and Delduc, F., “Nonlinear renormalization and the equivalence theorem”, Nucl. Phys. B, 266, 536, (1986).
42 Boulware, D., “Gauge dependence of the effective action”, Phys. Rev. D, 23, 389–396, (1981).
43 Bovier, A., and Felder, G., “Skeleton inequalities and the asymptotic nature of perturbation theory for φ4 theories in two-dimensions and three-dimensions”, Commun. Math. Phys., 93, 259, (1984).
44 Branchina, V., Meissner, A.K., and Veneziano, G., “The price of an exact, gauge-invariant RG-flow equation”, Phys. Lett. B, 574, 319, (2003). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/0309234.
45 Breitenlohner, P., Gibbons, G., and Maison, D., “4-Dimensional Black Holes from Kaluza–Klein Reduction”, Commun. Math. Phys., 120, 295–333, (1988).
46 Breitenlohner, P., and Maison, D., “On nonlinear sigma-models arising in (super-)gravity”, Commun. Math. Phys., 209, 785, (2000). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/gr-qc/9806002.
47 Brezin, E., Hikami, S., and Zinn-Justin, J., “Generalized non-linear sigma-models with gauge invariance”, Nucl. Phys. B, 165, 528, (1980).
48 Brydges, C.D., Mitter, K.P., and Scoppola, B., “Critical φ34”, Commun. Math. Phys., 240, 281, (2003). Related online version (cited on 15 May 2006):
External Linkhttp://arXiv.org/abs/hep-th/0206040.
49 Buchbinder, I.L., Odintsov, S.D., and Shapiro, I.L., Effective Action in Quantum Gravity, (Institute of Physics Publishing, Bristol, U.K., 1992).
50 Burgess, C.P., “Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory”, Living Rev. Relativity, 7, lrr-2004-5, (2004). URL (cited on 15 May 2006):
http://www.livingreviews.org/lrr-2004-5.
51 Burgess, C.P., and Kunstatter, G., “On the physical interpretation of the Vilkovisky–DeWitt effective action”, Mod. Phys. Lett. A, 2, 875–886, (1987). Erratum: Mod. Phys. Lett. A, 2, 1003, (1987).
52 Chow, B., and Knopf, D., The Ricci Flow: An Introduction, vol. 110 of Mathematical Surveys and Monographs, (American Mathematical Society, Providence, U.S.A., 2004).
53 Christensen, S.M., and Duff, M.J., “Quantum gravity in 2 + ε dimensions”, Phys. Lett. B, 79, 213, (1978).
54 Codello, A., and Percacci, R., “Fixed points of higher derivative gravity”, (2006). URL (cited on 05 October 2006):
External Linkhttp://arXiv