Modification of Gravitational Anomaly Method in Hawking Radiation

TL;DR

This paper addresses ambiguities in deriving Hawking radiation via the gravitational anomaly method and proposes modifications using conformal field theory techniques to accurately reproduce thermal fluxes.

Contribution

It introduces a modified gravitational anomaly method employing 2D conformal field theory to correctly derive Hawking radiation fluxes.

Findings

The modified method reproduces the expected thermal fluxes.

It resolves previous ambiguities in the anomaly-based derivation.

The approach enhances the theoretical consistency of Hawking radiation calculations.

Abstract

We discuss an ambiguity of the derivation of the Hawking radiation through the gravitational anomaly method and propose modifications of this method such that it reproduces the correct thermal fluxes. In this modified gravitational anomaly method, we employ the two-dimensional conformal field theory technique.