An Extension of Multiple Cosmic String Solution

TL;DR

This paper extends previous work on cosmic strings by analyzing vacuum polarization effects in more general locally flat metrics, showing no new divergences arise in one-loop calculations for scalar and spinor fields.

Contribution

It introduces a broader class of metrics for cosmic string configurations and explicitly calculates vacuum polarization effects for combined string and dipole setups.

Findings

No new divergences in one-loop vacuum polarization calculations.

Explicit results for scalar and spinor fields around cosmic string dipoles.

Validation of the stability of vacuum energy in extended cosmic string configurations.

Abstract

We extend the work done for cosmic strings on the perturbative calculation of vacuum polarization of a massless field in the space-time of multiple cosmic strings and show that for a more general class of locally flat metrics the one loop calculation do not introduce any new divergences to the VEV of the energy of a scalar particle or a spinor particle. We explicitly perform the calculation for the configuration where we have one cosmic string in the presence of a dipole made out of cosmic strings both for the scalar and the spinor cases.