Erratum: One-loop corrections to the string tension of the vortex in the Abelian Higgs model

TL;DR

This paper corrects previous calculations of one-loop quantum corrections to the vortex string tension in the Abelian Higgs model by including overlooked gauge modes and fixing numerical errors, providing more accurate results.

Contribution

It provides the corrected one-loop quantum correction calculations for the vortex string tension, addressing previous omissions and computational errors.

Findings

Inclusion of gauge field modes alters the correction values

Numerical errors significantly impacted previous results

Corrected results improve the accuracy of vortex tension estimates

Abstract

We correct two errors in our previous computation of one-loop corrections to the vortex string tension: (i) the contribution of the longitudinal and timelike modes of the gauge fields were forgotten and are included now; (ii) a trivial error in the numerical code has led to considerable errors in the subtracted integrals. We here present the corrected results.