Euclidean thermal spinor Green's function in the spacetime of a straight cosmic string

TL;DR

This paper derives the Euclidean thermal spinor Green's function in a conical spacetime around a cosmic string and shows that at high temperatures, the cosmic string does not disturb the thermal bath of massless fermions.

Contribution

It provides an explicit form of the thermal spinor Green's function in a cosmic string background and analyzes the thermal energy-momentum tensor at high temperatures.

Findings

The thermal Green's function for massless spinors in a conical space is explicitly calculated.

The energy-momentum tensor's thermal average is obtained for a massless fermion bath.

Cosmic strings do not perturb the thermal bath at high temperatures.

Abstract

Within the framework of the quantum field theory at finite temperature on a conical space, we determine the Euclidean thermal spinor Green's function for a massless spinor field. We then calculate the thermal average of the energy-momentum tensor of a thermal bath of massless fermions. In the high-temperature limit, we find that the straight cosmic string does not perturb the thermal bath