Excitations of static isolated fermions in the Higgs phase of gauge Higgs theory

TL;DR

This paper investigates localized excitations of static fermions in the Higgs phase across various gauge Higgs theories, revealing potential observable states and suggesting broader implications for theories like the Standard Model.

Contribution

It demonstrates, through lattice simulations, that charged elementary particles exhibit a spectrum of excitations in the Higgs phase of multiple gauge Higgs theories, including SU(3) and Abelian models.

Findings

Localized fermion excitations observed in simulations

Potential detection of these states in ARPES experiments

Implications for excitations in the Standard Model's electroweak sector

Abstract

A spectrum of localized excitations of isolated static fermions has been discovered in several different gauge Higgs theories. In lattice numerical simulations, we show that the charged elementary particles can have the spectrum of excitations in the Higgs phase of SU(3) gauge Higgs theory, $q=2$ Abelian Higgs theory, Landau-Ginzburg theory, and in chiral U(1) gauge Higgs theory. Possibly these excited states of the isolated fermions can be observed in ARPES studies of conventional superconductors. Also, we consider that similar kinds of excitations could exist in other gauge Higgs theories, such as the electroweak sector of the Standard Model.