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We propose a method for the (re)-construction of a regularized functional integral, well defined in the ultraviolet limit, from a solution of the functional renormalization group equation of the effective average action.
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C. Wetterich, Exact evolution equation for the effective potential , Phys. Lett. B 301
1993
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M. Reuter, C. Wetterich, Effective average action for gauge theories and exact evolution equations , Nucl. Phys. B 417
1994
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M. Reuter and C. Wetterich, Exact evolution equation for scalar electrodynamics , Nucl. Phys. B 427
1996
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M. Reuter and C. Wetterich, Quantum Liouville field theory as solution of a flow equation , Nucl. Phys. B 506
1997
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M. Reuter, Nonperturbative Evolution Equation for Quantum Gravity , Phys. Rev. D 57
1998
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D. Dou and R. Percacci, The running gravitational couplings , Class. Quant. Grav. 15
1998
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W. Souma, Non-trivial ultraviolet fixed point in quantum gravity , Prog. Theor. Phys. 102
1999
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A. Bonanno and M. Reuter, Renormalization group improved black hole spacetimes , Phys. Rev. D 62
1999
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H.W. Hamber, Phases Of 4-D Simplicial Quantum Gravity , Phys. Rev. D 45
2000
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O. Lauscher and M. Reuter, Ultraviolet fixed point and generalized flow equation of quantum gravity , Phys. Rev. D 65
2002
Earlier work this paper cites.
M. Reuter and F. Saueressig, Renormalization group flow of quantum gravity in the Einstein-Hilbert truncation , Phys. Rev. D 65
2002
Earlier work this paper cites.
O. Lauscher and M. Reuter, Flow equation of quantum Einstein gravity in a higher-derivative truncation , Phys. Rev. D 66
2002
Earlier work this paper cites.
O. Lauscher and M. Reuter, Is quantum Einstein gravity nonperturbatively renormalizable? , Class. Quant. Grav. 19
2002
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O. Lauscher and M. Reuter, Towards nonperturbative renormalizability of quantum Einstein gravity , Int. J. Mod. Phys. A 17
2002
Earlier work this paper cites.
P. Forgács and M. Niedermaier, A fixed point for truncated quantum Einstein gravity , [ hep-th/0207028
2003
Cited alongside, same era.
H. Gies, Renormalizability of gauge theories in extra dimensions , Phys. Rev. D 68
2003
Cited alongside, same era.
A. Ashtekar, Lectures on non-perturbative canonical gravity , World Scientific, Singapore 1991; A. Ashtekar and J. Lewandowski, Background independent quantum gravity: A status report, , Class. Quant. Grav. 21
2004
Cited alongside, same era.
C. Rovelli, Quantum Gravity , Cambridge University Press, Cambridge 2004
2004
Cited alongside, same era.
M. Reuter and F. Saueressig, A class of nonlocal truncations in quantum Einstein gravity and its renormalization group behavior , Phys. Rev. D 66
2004
Cited alongside, same era.
J. Moffat, Gravitational Theory, Galaxy Rotation Curves and Cosmology without Dark Matter , JCAP 0505
2006
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J. Ambjørn, J. Jurkiewicz and R. Loll, Spectral dimension of the universe , Phys. Rev. Lett. 95
2006
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Th. Thiemann, Modern Canonical Quantum General Relativity , Cambridge University Press, Cambridge 2007
2007
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For reviews see: M. Reuter and F. Saueressig, Functional Renormalization Group Equations, Asymptotic Safety, and Quantum Einstein Gravity , [ 0708.1317 [hep-th]
2007
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M. Reuter and J.-M. Schwindt, Scale-dependent metric and causal structures in quantum Einstein gravity , JHEP 0701
2007
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R. Percacci and D. Perini, Constraints on matter from asymptotic safety , Phys. Rev. D 67
2004
Cited alongside, same era.
A. Bonanno and M. Reuter, Cosmology with self-adjusting vacuum energy density from a renormalization group fixed point , Phys. Lett. B 527
2004
Cited alongside, same era.
M. Reuter and H. Weyer, Renormalization group improved gravitational actions: A Brans-Dicke approach , Phys. Rev. D 69
2004
Cited alongside, same era.
M. Reuter and H. Weyer, Running Newton constant, improved gravitational actions, and galaxy rotation curves , Phys. Rev. D 70
2004
Cited alongside, same era.
M. Reuter and H. Weyer, Quantum gravity at astrophysical distances? , JCAP 0412
2004
Cited alongside, same era.
J. Ambjørn, J. Jurkiewicz and R. Loll, Emergence of a 4D world from causal quantum gravity , Phys. Rev. Lett. 93
2004
Cited alongside, same era.
A. Bonanno and M. Reuter, Proper time flow equation for gravity , JHEP 0502
2005
Cited alongside, same era.
For reviews of the effective average action in Yang–Mills theory see: M. Reuter, Effective Average Actions and Nonperturbative Evolution Equations , [ hep-th/9602012
2007
Later among the works it cites.
M. Reuter and E. Tuiran, Quantum Gravity Effects in Rotating Black Holes , in Proceedings of the Eleventh Marcel Grossmann Meeting, H.Kleinert, R. Janzten, R. Ruffini (Eds), World Scientific, Singapore (2007), [ hep-th/0612037
2007
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A. Bonanno and M. Reuter, Entropy signature of the running cosmological constant JCAP 0708
2007
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F. Girelli, S. Liberati, R. Percacci and C. Rahmede, Modified dispersion relations from the renormalization group of gravity , Class. Quant. Grav. 24
2007
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E. Manrique, R. Oeckl, A. Weber and J. A. Zapata, Loop quantization as a continuum limit , Class. Quant. Grav. 23
2007
Later among the works it cites.
For general introductions see C. Kiefer, Quantum Gravity , Second Edition, Oxford Science Publications, Oxford (2007); H. Hamber, Quantum Gravitation , Springer, Berlin (2008)
2008
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A. Codello and R. Percacci, Fixed Points of Higher Derivative Gravity , Phys. Rev. Lett. 97
2008
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P. Machado and F. Saueressig, On the renormalization group flow of f(R)-gravity , Phys. Rev. D 77
2008
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D. Litim and T. Plehn, Signatures of gravitational fixed points at the LHC , Phys. Rev. Lett. 100
2008
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M. Reuter and H. Weyer, Background Independence and Asymptotic Safety in Conformally Reduced Gravity , Phys. Rev. D 79
2009
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E. Manrique and M. Reuter, Bare Action and Regularized Functional Integral of Asymptotically Safe Quantum Gravity , Phys. Rev. D 79
2009
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2009
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D. Litim, Optimisation of the exact renormalisation group , Phys. Lett. B 486
2081
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