Quantum Tunneling and Trace Anomaly

TL;DR

This paper calculates quantum corrections to black hole thermodynamics using tunneling methods, relates them to trace anomalies, and derives a modified Schwarzschild metric reflecting quantum effects.

Contribution

It introduces a novel approach linking tunneling corrections to trace anomalies and derives a quantum-corrected Schwarzschild metric.

Findings

Quantum corrections modify Hawking temperature and entropy.

Corrections are consistent with trace anomaly calculations.

A modified Schwarzschild metric incorporating quantum effects is proposed.

Abstract

We compute the corrections, using the tunneling formalisim based on a quantum WKB approach, to the Hawking temperature and Bekenstein-Hawking entropy for the Schwarzschild black hole. The results are related to the trace anomaly and are shown to be equivalent to findings inferred from Hawking's original calculation based on path integrals using zeta function regularization. Finally, exploiting the corrected temperature and periodicity arguments we also find the modification to the original Schwarzschild metric which captures the effect of quantum corrections.