Induced vacuum bosonic current in a compactified cosmic string spacetime

TL;DR

This paper investigates how magnetic fluxes influence bosonic current densities around a cosmic string with a compactified axis, revealing that only azimuthal and axial currents are induced.

Contribution

It provides a detailed calculation of bosonic wave functions and current densities in a cosmic string spacetime with compactification and magnetic fluxes, highlighting the specific currents that arise.

Findings

Azimuthal and axial currents are induced by magnetic fluxes.

The wave functions obey a quasiperiodicity condition along the compactified dimension.

Only azimuthal and axial currents are present, no radial current.

Abstract

We analyze the bosonic current densities induced by a magnetic flux running along an idealized cosmic string considering that the coordinate along its axis is compactified. We also consider the presence of a magnetic flux enclosed by the compactificatified axis. To develop this analysis, we calculate the complete set of normalized bosonic wave functions obeying a quasiperiodicity condition along the compactified dimension. We show that in this context only the azimuthal and axial currents take place.