Vacuum Polarization at Finite Temperature around a Magnetic Flux Cosmic String

TL;DR

This paper investigates the effects of finite temperature and magnetic flux cosmic strings on a charged scalar field, deriving thermal Green's functions and evaluating thermal averages of field quantities.

Contribution

It provides a general expression for the Euclidean thermal Green's function for a charged scalar field interacting with a magnetic flux cosmic string at finite temperature.

Findings

Derived a general thermal Green's function for massive scalar fields.

Evaluated thermal averages of $raket{^2(x)}$ and energy-momentum tensor.

Presented explicit expressions for massless scalar fields at finite temperature.

Abstract

We consider a general situation where a charged massive scalar field $\phi(x)$ at finite temperature interacts with a magnetic flux cosmic string. We determine a general expression for the Euclidean thermal Green's function of the massive scalar field and a handy expression for a massless scalar field. With this result, we evaluate the thermal average $<\phi^{2}(x)>$ and the thermal average of the energy-momentum tensor of a nonconformal massless scalar field.