Absence of log correction in entropy of large black holes

TL;DR

This paper demonstrates that in loop quantum gravity, black hole entropy is proportional to the area without logarithmic corrections when the Chern-Simons level is finite, challenging previous assumptions of large levels.

Contribution

It shows that the logarithmic correction to black hole entropy disappears for finite Chern-Simons levels, refining the understanding of entropy calculations in loop quantum gravity.

Findings

Entropy is proportional to the area eigenvalue without logarithmic correction.

Logarithmic correction appears only when the Chern-Simons level is assumed large.

Results suggest finite levels are sufficient for accurate entropy calculations.

Abstract

Earlier calculations of black hole entropy in loop quantum gravity led to a dominant term proportional to the area, but there was a correction involving the logarithm of the area, the Chern-Simons level being assumed to be large. We find that the calculations yield an entropy proportional to the area eigenvalue with no such correction if the Chern-Simons level is finite, so that the area eigenvalue can be relatively large.