Hawking Radiation from Charged Black Holes via Gauge and Gravitational Anomalies

TL;DR

This paper demonstrates that the fluxes of charge and energy from charged black holes can be derived using gauge and gravitational anomalies, confirming the Hawking radiation characteristics in a quantum field theory framework.

Contribution

It extends previous work to show that anomaly cancellation conditions determine Hawking radiation fluxes for charged black holes.

Findings

Charge and energy fluxes match those of a (1+1)D blackbody at Hawking temperature.

Quantum anomalies enforce gauge invariance and general covariance at the horizon.

Fluxes are consistent with Hawking radiation predictions.

Abstract

Extending gr-qc/0502074, we show that in order to avoid a breakdown of general covariance and gauge invariance at the quantum level the total flux of charge and energy in each outgoing partial wave of a charged quantum field in a Reissner-Nordstrom black hole background must be equal to that of a (1+1) dimensional blackbody at the Hawking temperature with the appropriate chemical potential.