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

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.

arXiv comment6 pages, 11 figures. v2: Version to appear in PRD

References in corpus (6)

• Fine Structure of the QCD String Spectrum
• Gauge Fixing on the Lattice without Ambiguity
• Brout-Englert-Higgs physics: From foundations to phenomenology
• A confinement criterion for gauge theories with matter fields
• The nature of symmetry breaking in the superconducting ground state
• Excitations of elementary fermions in gauge Higgs theories

Cited by in corpus (3)

• Excited states of massive fermions in a chiral gauge theory
• Quantum excitations of static charges in the Ginzburg-Landau model of superconductivity
• Analyzing the Higgs-confinement transition with non-local operators on the lattice