Anomaly induced effective actions and Hawking radiation

TL;DR

This paper reconstructs the quantum stress tensor in a Schwarzschild black hole spacetime using an effective action derived from the trace anomaly, shedding light on Hawking radiation.

Contribution

It introduces a method to derive the quantum stress tensor from the trace anomaly, providing insights into Hawking radiation in black hole physics.

Findings

Reconstruction of the stress tensor at infinity and near the horizon.

Demonstration of the effective action's role in understanding Hawking radiation.

Insights into anomaly-induced effects in black hole spacetimes.

Abstract

The quantum stress tensor in the Unruh state for a conformal scalar propagating in a 4D Schwarzschild black hole spacetime is reconstructed in its leading behaviour at infinity and near the horizon by means of an effective action derived by functionally integrating the trace anomaly.