Logarithmic correction to black hole entropy from the nonlocality of quantum gravity

TL;DR

This paper demonstrates that the logarithmic correction to black hole entropy, related to conformal anomaly, can be derived from the nonlocal effects of quantum gravity using an effective field theory approach, providing a self-consistent framework.

Contribution

It introduces an EFT-based method to derive quantum gravitational corrections to black hole metrics and entropy, addressing the nonlocality issue.

Findings

Logarithmic entropy correction is linked to quantum nonlocality.

EFT approach yields a consistent derivation of quantum corrections.

Provides a new framework for studying quantum effects in black hole physics.

Abstract

It has been known for many years that the leading correction to the black hole entropy is a logarithmic term, which is universal and closely related to conformal anomaly. A fully consistent analysis of this issue has to take quantum backreactions to the black hole geometry into account. However, it was always unclear how to naturally derive the modified black hole metric especially from an effective action, because the problem refers to the elusive non-locality of quantum gravity. In this paper, we show that this problem can be resolved within an effective field theory (EFT) framework of quantum gravity. Our work suggests that the EFT approach provides a powerful and self-consistent tool for studying the quantum gravitational corrections to black hole geometries and thermodynamics.