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

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.

Automated summary

The lattice Monte Carlo evidence reveals stable excitations of isolated static charges in the Higgs phase of the charge q = 2 Abelian Higgs model, which are excited states of the interacting fields surrounding the static charges. This suggests that excited states of this kind in the model may be relevant in a condensed matter context, and that a massive fermion excitation spectrum could be a general feature of gauge Higgs theories based on recent related work in SU(3) gauge Higgs theory.