Vacuum polarization in Schwarzschild space-time by anomaly induced effective actions

TL;DR

This paper investigates the vacuum polarization effects in Schwarzschild space-time for a conformal scalar field using anomaly-induced effective actions, highlighting state-dependent features through auxiliary fields and boundary conditions.

Contribution

It introduces a method to analyze different quantum states in Schwarzschild space-time via local effective actions derived from the trace anomaly.

Findings

Characterizes <T_{}> in various quantum states

Uses auxiliary fields to localize anomaly-induced actions

Imposes boundary conditions to distinguish quantum states

Abstract

The characteristic features of $<T_{\mu\nu}>$ in the Boulware, Unruh and Hartle-Hawking states for a conformal massless scalar field propagating in the Schwarzschild space-time are obtained by means of effective actions deduced by the trace anomaly. The actions are made local by the introduction of auxiliary fields and boundary conditions are carefully imposed on them in order to select the different quantum states.