Vaccum Polarization for a Massless Scalar Field in the Global Monopole Spacetime at Finite Temperature

TL;DR

This paper investigates how finite temperature affects the vacuum polarization of a massless scalar field in a global monopole spacetime, providing detailed calculations of thermal Green functions and energy-momentum tensor components.

Contribution

It introduces a method to compute the thermal Green function and vacuum expectation values in a global monopole background at finite temperature, extending previous zero-temperature analyses.

Findings

Finite temperature increases vacuum polarization effects.

High-temperature limit of energy-momentum tensor is derived.

Thermal Green function constructed explicitly.

Abstract

In this paper we calculate the effects produced by temperature in the renormalized vaccum expectation value of the square of the massless scalar field in the pointlike global monopole spacetime. In order to develop this calculation, we had to construct the Euclidean thermal Green function associated with this field in this background. We also calculate the high-temperature limit for the thermal average of the zero-zero component of the energy-momentum tensor.