Decoupling of Layers in the Three-dimensional Abelian Higgs Model

TL;DR

This paper investigates the anisotropic 2+1D Abelian Higgs model, revealing layer decoupling in extreme anisotropy and analyzing phase behavior under magnetic fields, contributing insights into localization phenomena.

Contribution

It introduces the study of layer decoupling in anisotropic Abelian Higgs models and explores phase characteristics under external magnetic fields.

Findings

Decoupling of space-like planes occurs at extreme anisotropy.

Charged particles and gauge fields localize within planes.

External magnetic fields help characterize phase behavior.

Abstract

The Abelian Higgs model with anisotropic couplings in 2+1 dimensions is studied in both the compact and non-compact formulations. Decoupling of the space-like planes takes place in the extreme anisotropic limit, so charged particles and gauge fields are presumably localized within these planes. The behaviour of the model under the influence of an external magnetic field is examined in the compact case and yields further characterization of the phases.