Back reaction, covariant anomaly and effective action

TL;DR

This paper investigates how back reaction influences Hawking radiation from Reissner-Nordström black holes by calculating quantum corrections to fluxes using covariant anomaly cancelation and effective action methods, confirming their robustness.

Contribution

It introduces one-loop corrections to black hole horizon and temperature, and derives modified flux expressions considering back reaction effects using covariant anomaly and effective action techniques.

Findings

Quantum corrections modify Hawking fluxes.

Results confirm robustness of anomaly cancelation method.

Back reaction effects are quantitatively incorporated.

Abstract

In the presence of back reaction, we first produce the one-loop corrections for the event horizon and Hawking temperature of the Reissner-Nordstr\"om black hole. Then, based on the covariant anomaly cancelation method and the effective action technique, the modified expressions for the fluxes of gauge current and energy momentum tensor, due to the effect of back reaction, are obtained. The results are consistent with the Hawking fluxes of a (1+1)-dimensional blackbody at the temperature with quantum corrections, thus confirming the robustness of the covariant anomaly cancelation method and the effective action technique for black holes with back reaction.