# Aharonov--Bohm Effect in 3D Abelian Higgs Theory

## TL;DR

This paper investigates a topological Aharonov--Bohm effect analogue in a 3D Abelian Higgs model, revealing how vortex-particle linking induces nontrivial interactions among charged particles.

## Contribution

It introduces a field-theoretical analogue of the Aharonov--Bohm effect in 3D Abelian Higgs theory, highlighting the role of linking numbers in topological interactions.

## Key findings

- Topological interaction proportional to linking number identified
- Charged particles exhibit nontrivial interactions due to the effect
- The effect provides insight into topological phenomena in gauge theories

## Abstract

We study a field--theoretical analogue of the Aharonov--Bohm effect in the 3D Abelian Higgs Model: the corresponding topological interaction is proportional to the linking number of the vortex and the particle world trajectories. We show that the Aharonov--Bohm effect gives rise to a nontrivial interaction of tested charged particles.