Black hole thermodynamics under the microscope

TL;DR

This paper investigates black hole thermodynamics across different mass scales using an effective action approach, incorporating quantum corrections and exploring implications of asymptotic safety in quantum gravity.

Contribution

It introduces a coarse-grained effective action framework to analyze black hole thermodynamics with quantum effects and explores the consequences of asymptotic safety.

Findings

Quantum corrections modify temperature, specific heat, and entropy.

Conformal scaling emerges in the small horizon limit under asymptotic safety.

Bounds on black hole mass and temperature are derived.

Abstract

A coarse-grained version of the effective action is used to study the thermodynamics of black holes, interpolating from largest to smallest masses. The physical parameter of the black hole are linked to the running couplings by thermodynamics, and the corresponding equation of state includes quantum corrections for temperature, specific heat, and entropy. If quantum gravity becomes asymptotically safe, the state function predicts conformal scaling in the limit of small horizon area, and bounds on black hole mass and temperature. A metric-based derivation for the equation of state, and quantum corrections to the thermodynamical, statistical, and phenomenological definition of entropy are also given. Further implications and limitations of our study are discussed.