Quantum correction to thermodynamical entropy of black hole

TL;DR

This paper investigates quantum corrections to black hole entropy, showing that these corrections arise from quantum fluctuations and differ from the effective action, with explicit analysis of a (2+1)D rotating black hole.

Contribution

It provides a detailed analysis of quantum corrections to black hole entropy, highlighting their relation to Euclidean functional integrals and quantum fluctuations, with explicit calculations for a (2+1)D rotating black hole.

Findings

Quantum corrections modify black hole entropy beyond the classical area law.

Corrections are linked to quantum fluctuations, not just effective action.

Explicit results for a (2+1)D rotating black hole are presented.

Abstract

The entropy of a black hole can differ from a quarter of the area of the horizon because of quantum corrections. The correction is related to the contribution to the Euclidean functional integral from quantum fluctuations but is not simply equal to the correction to the effective action. A (2+1) dimensional rotating black hole is explicitly considered.