Interaction of Vortices with an External Field

TL;DR

This paper investigates how magnetic flux vortices interact with weak external fields within the Abelian Higgs model, focusing on zero-mode excitations and perturbative effects, including external currents.

Contribution

It introduces a perturbative method to analyze vortex interactions with external fields, emphasizing zero-mode excitations in the Abelian Higgs model.

Findings

Zero-mode excitation probability calculated in external fields

Perturbative approach to vortex-field interactions

Effect of external currents on vortex configurations

Abstract

The interaction of a magnetic flux vortex with weak external fields is considered in the framework of the Abelian Higgs model. The approach is based on the calculation of the zero-mode excitation probability in the external field. The excitation of the field configuration is found perturbatively. As an example we consider the effect of interaction with an external current. The linear in the scalar field perturbation is also considered.