Hawking radiation and Hawking flux from spherical reduction

TL;DR

This paper demonstrates how Hawking radiation and flux can be derived from spherically reduced actions using heat kernel methods, addressing a controversy about the D=2 anomaly and presenting a generalized Polyakov action with a dilaton.

Contribution

It shows the connection between Hawking radiation and spherically reduced actions, clarifies the D=2 anomaly controversy, and introduces a generalized Polyakov action with a dilaton.

Findings

Reproduces Hawking flux from spherically reduced action

Addresses the D=2 anomaly controversy

Presents a generalized Polyakov action with dilaton

Abstract

Using heat kernel techniques we show that the relation between Hawking temperature and radiation flux known from Einstein gravity in D dimensions can be reproduced from the spherically reduced action. A recent controversy regarding the D=2 anomaly for that case is discussed. The generalized effective Polyakov action in the presence of a dilaton field is presented.