Wilsonian Black Hole Entropy in Quantum Gravity

Details Wilsonian Black Hole Entropy in Quantum Gravity Wilsonian Black Hole Entropy in Quantum Gravity

1995-07-12

arxiv.org/abs/gr-qc/9507027v1

Int.J.Mod.Phys.A11:2823-2834,1996

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, Latex(Revtex ver.3.0), no figures

Scientific paper

10.1142/S0217751X96001371

Using Wilsonian procedure (renormalization group improvement) we discuss the finite quantum corrections to black hole entropy in renormalizable theories. In this way, the Wilsonian black hole entropy is found for GUTs (of asymptotically free form, in particularly) and for the effective theory of conformal factor aiming to describe quantum gravity in infrared region. The off-critical regime (where the coupling constants are running) for effective theory of conformal factor in quantum gravity (with or without torsion) is explicitly constructed. The correspondent renormalization group equations for the effective couplings are found using Schwinger-De Witt technique for the calculation of the divergences of fourth order operator.

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