One-loop mass shift formula for kinks and self-dual vortices

TL;DR

This paper derives a formula for calculating one-loop quantum mass corrections for kinks and vortices using canonical quantization and heat kernel/zeta function regularization techniques.

Contribution

It introduces a unified formula for one-loop mass shifts applicable to both kinks and self-dual vortices, based on canonical quantization and advanced regularization methods.

Findings

Provides a practical computational formula for quantum mass corrections.

Applies heat kernel/zeta function regularization to topological solitons.

Facilitates more accurate quantum analysis of solitonic objects.

Abstract

A formula is derived that allows us to compute one-loop mass shifts for kinks and self-dual Abrikosov-Nielsen-Olesen vortices. The procedure is based in canonical quantization and heat kernel/zeta function regularization methods.