Vacuum Expectation Value of the Spinor Massive field in the Cosmic String Space-Time

TL;DR

This paper calculates the vacuum expectation value of the energy-momentum tensor for a massive Dirac field in the conical geometry of cosmic string space-time, providing explicit heat kernel coefficients.

Contribution

It introduces explicit calculations of the vacuum expectation value and heat kernel coefficients for a Dirac field in cosmic string space-time, advancing understanding of quantum effects in such backgrounds.

Findings

Explicit form of the first three heat kernel coefficients.

Quantitative contribution of cosmic string geometry to vacuum energy.

Enhanced understanding of quantum fields in conical space-times.

Abstract

We found the contribution to the vacuum expectation value of the energy-momentum tensor of a massive Dirac field due to the conical geometry of the cosmic string space-time. The heat kernel and heat kernel expansion for the squared Dirac operator in this background are also considered and the first three coefficients were found in an explicity form.