Vacuum Polarization for a Massless Spin-1/2 Field in the Global Monopole Spacetime at Nonzero Temperature

TL;DR

This paper investigates how finite temperature affects the vacuum polarization of a massless spin-1/2 field in a global monopole spacetime, using numerical analysis to explore thermal behavior.

Contribution

It derives the thermal Green function in this background and analyzes the temperature dependence of the vacuum expectation value of the energy-momentum tensor.

Findings

Thermal energy density increases with temperature.

High-temperature limit shows specific dependence on monopole parameter.

Numerical results provide insights into thermal effects in monopole spacetime.

Abstract

In this paper we present the effects produced by the temperature in the renormalized vacuum expectation value of the zero-zero component of the energy-momentum tensor associated with massless left-handed spinor field in the pointlike global monopole spacetime. In order to develop this calculation we had to obtain the Euclidean thermal Green function in this background. Because the expression obtained for the thermal energy density cannot be expressed in a closed form, its explicit dependence on the temperature is not completely evident. So, in order to obtain concrete information about its thermal behavior, we develop a numerical analysis of our result in the high-temperature limit for specific values of the parameter $\alpha$ which codify the presence of the monopole.