Connecting anomaly and tunneling methods for Hawking effect through chirality

TL;DR

This paper unifies the anomaly and tunneling approaches to Hawking radiation through the concept of chirality, deriving consistent flux and temperature results for black hole horizons.

Contribution

It introduces a chirality-based framework that connects anomaly and tunneling methods for deriving Hawking radiation.

Findings

Chiral gravitational anomaly leads to Hawking flux near the horizon.

Chirality condition yields Hawking temperature consistent with anomaly results.

Unified approach simplifies understanding of Hawking effect mechanisms.

Abstract

The role of chirality is discussed in unifying the anomaly and the tunneling formalisms for deriving the Hawking effect. Using the chirality condition and starting from the familiar form of the trace anomaly, the chiral (gravitational) anomaly, manifested as a nonconservation of the stress tensor, near the horizon of a black hole, is derived. Solution of this equation yields the stress tensor whose asymptotic infinity limit gives the Hawking flux. Finally, use of the same chirality condition in the tunneling formalism gives the Hawking temperature that is compatible with the flux obtained by anomaly method.