Abelian Higgs model and its phase transitions revisited

TL;DR

This paper revisits the abelian Higgs model's phase structure, proposing a dual fermionic description that confirms the existence of Coulomb, Higgs, and confinement phases using a novel order parameter.

Contribution

It introduces a dual fermionic perspective to analyze the abelian Higgs model's phases, providing new insights with a nonstandard order parameter.

Findings

Identification of three main phases: Coulomb, Higgs, and confinement

Agreement with existing literature on phase structure

Use of a nonstandard order parameter for phase detection

Abstract

The abelian Higgs model and its phase structure are discussed from the perspective that the gauge and scalar fields admit a dual description in terms of fermion variables. The results which indicate the presence of three main phases: Coulomb, Higgs and confinement agree well with those in the literature although a nonstandard order parameter is employed.