Wilsonian Black Hole Entropy in Quantum Gravity

TL;DR

This paper explores finite quantum corrections to black hole entropy using Wilsonian renormalization group methods within quantum gravity and GUT frameworks, providing explicit off-critical regime constructions.

Contribution

It introduces a Wilsonian approach to compute quantum corrections to black hole entropy in renormalizable theories and constructs the off-critical regime for the effective theory of the conformal factor.

Findings

Derived Wilsonian black hole entropy for GUTs.

Explicit construction of off-critical regime in quantum gravity.

Calculated renormalization group equations for effective couplings.

Abstract

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.