Subleading Corrections to entropy formulae (convergences and divergences)

TL;DR

This paper examines sub-leading corrections to black hole entropy across various quantum gravity theories, highlighting both convergent and divergent aspects, and discusses the impact of additional terms like Chern-Simons on entropy calculations.

Contribution

It compares how different quantum gravity theories and semi-classical methods derive sub-leading entropy corrections for BTZ black holes, including effects of Chern-Simons terms.

Findings

Logarithmic corrections are common across theories but with model-dependent coefficients.

Sub-leading terms exhibit both convergence and divergence depending on the approach.

Chern-Simons terms modify the entropy, indicating additional quantum effects.

Abstract

We know that sub-leading corrections to the hawking area law is riddled with issues which have some convergent and divergent aspects. Depending on the theory, scheme, model or even method sub-leading terms turn out to have trivial and non- trivial aspects which we are going to dwell upon. The generic character of the first sub leading logarithmic term comes out unanimously the same from all theories of quantum gravity like Strings, Loops, or even semi-classical methods with the exception that sometimes the pre-factor of logarithmic term turns out to be model dependent parameter or number hence consensus on this issue is yet to be finalized. In this paper we will try to compare and contrast how we get the corrections in various theories of quantum gravity including semi-classical methods on the variant of Black Hole that is BTZ Black Hole. Towards the end we see how the addition of chern-simon terms affects the entropy of black holes and we will make brief observations regarding the same.