Hawking radiation by effective two-dimensional theories

TL;DR

This paper reviews 2D anomaly induced effective actions for matter-gravity systems, identifies their shortcomings in reproducing Hawking radiation, and proposes a modified stress-energy tensor for more accurate physical predictions.

Contribution

The authors modify the quantum matter stress energy tensor in 2D effective theories to correctly reproduce Hawking radiation and ensure stability of Minkowski space.

Findings

Original 2D anomaly actions fail to reproduce Hawking radiation.

Modified stress-energy tensor yields physically meaningful results.

Improved theoretical framework for black hole radiation analysis.

Abstract

Recently proposed 2D anomaly induced effective actions for the matter-gravity system are critically reviewed. Their failure to correctly reproduce Hawking's black hole radiation or the stability of Minkowski space-time led us to a modification of the relevant ``quantum'' matter stress energy tensor that allows physically meaningful results to be extracted.