Logarithmic correction to the Bekenstein-Hawking entropy

TL;DR

This paper revisits the quantum geometry calculation of black hole entropy, revealing a logarithmic correction to the classical Bekenstein-Hawking entropy for large horizons, along with subleading inverse area terms.

Contribution

It provides a detailed analysis of quantum corrections to black hole entropy, including a logarithmic term, within the boundary state formulation of Chern-Simons theory.

Findings

Logarithmic correction to entropy proportional to the log of the horizon area.

Subleading inverse power corrections to the entropy.

Confirmation of the semiclassical Bekenstein-Hawking entropy in the large area limit.

Abstract

The exact formula derived by us earlier for the entropy of a four dimensional non-rotating black hole within the quantum geometry formulation of the event horizon in terms of boundary states of a three dimensional Chern-Simons theory, is reexamined for large horizon areas. In addition to the {\it semiclassical} Bekenstein-Hawking contribution to the area obtained earlier, we find a contribution proportional to the logarithm of the area together with subleading corrections that constitute a series in inverse powers of the area.