Trace anomaly and Hawking effect in 2D dilaton gravity theories

TL;DR

This paper explores the classical and semiclassical properties of 2D dilaton gravity theories, focusing on invariance of Hawking radiation characteristics under Weyl rescalings and the connection between quantum anomalies and Hawking radiation.

Contribution

It demonstrates the invariance of black hole mass, temperature, and flux under dilaton-dependent Weyl transformations in 2D gravity theories.

Findings

Hawking radiation parameters are invariant under Weyl rescalings.

Quantum anomalies are related to Hawking radiation.

Classical and semiclassical features of 2D dilaton gravity are analyzed.

Abstract

We investigate the classical and semiclassical features of generic 2D, matter-coupled, dilaton gravity theories. In particular, we show that the mass, the temperature and the flux of Hawking radiation associated with 2D black holes are invariant under dilaton-dependent Weyl rescalings of the metric. The relationship between quantum anomalies and Hawking radiation is discussed.