One-loop fluctuations of semi-local self-dual vortices

TL;DR

This paper calculates quantum mass corrections for semi-local self-dual vortices using advanced regularization techniques, examining whether classical degeneracy persists at the quantum level.

Contribution

It introduces a method to compute one-loop quantum corrections for semi-local vortices and investigates the quantum stability of classical degeneracy.

Findings

Mass shifts are computed using heat kernel and zeta function methods.

Classical degeneracy may be lifted or preserved at the quantum level.

The approach provides insights into quantum effects on topological solitons.

Abstract

Mass shifts induced by one-loop fluctuations of semi-local self-dual vortices are computed. The procedure is based on canonical quantization and heat kernel/ zeta function regularization methods. The issue of the survival of the classical degeneracy in the semi-classical regime is explored.