Excitations of isolated static charges in the charge $q=2$ abelian Higgs model

TL;DR

This paper provides lattice Monte Carlo evidence of stable localized excitations around static charges in the q=2 abelian Higgs model, suggesting such excitations could be relevant in condensed matter and gauge theories.

Contribution

It demonstrates the existence of stable localized excitations in the q=2 abelian Higgs model, linking gauge Higgs theories to potential condensed matter phenomena.

Findings

Stable excitations observed in the Higgs phase.

Excited states are localized around static charges.

Results suggest a general feature in gauge Higgs theories.

Abstract

We present lattice Monte Carlo evidence of stable excitations of isolated static charges in the Higgs phase of the charge $q=2$ abelian Higgs model. These localized excitations are excited states of the interacting fields surrounding the static charges. Since the $q=2$ abelian Higgs model is a relativistic version of the Landau-Ginzburg effective action of a superconductor, we conjecture that excited states of this kind might be relevant in a condensed matter context. Taken together with recent related work in SU(3) gauge Higgs theory, our result suggests that a massive fermion excitation spectrum may be a general feature of gauge Higgs theories.