Vacuum polarization by fermionic fields in higher dimensional cosmic string space-time

TL;DR

This paper studies how quantum fermionic fields behave in a six-dimensional cosmic string space-time with magnetic flux, deriving explicit Green functions and vacuum energy-momentum tensor expectations.

Contribution

It provides a closed-form Green function and explicit vacuum polarization results for fermionic fields in higher-dimensional cosmic string backgrounds with magnetic flux.

Findings

Explicit Green function for specific parameter values

Renormalized vacuum expectation value of energy-momentum tensor calculated

Analysis of vacuum polarization effects in higher dimensions

Abstract

In this paper we investigate vacuum polarization effects associated with charged massive quantum fermionic fields in a six-dimensional cosmic string space-times considering the presence of a magnetic flux running along its core. We have shown that for specific values of the parameters which codify the presence of the cosmic string, and the fractional part of the ratio of the magnetic flux by the quantum one, a closed expression for the respective Green function is obtained. Adopting this result, we explicitly calculate the renormalized vacuum expectation value of the energy-momentum tensors, $<T^A_B>_{Ren}$, and analyse this result in some limitting cases.