Excited states of massive fermions in a chiral gauge theory

TL;DR

This study numerically investigates the spectrum of gauge and Higgs fields around static fermions in a chiral U(1) gauge Higgs theory, revealing both ground and excited states within a quenched lattice approximation.

Contribution

It demonstrates the existence of stable excited states in the spectrum of a chiral gauge theory using a lattice approach with static fermion sources.

Findings

Identification of stable excited states around static fermions.

Numerical evidence supporting the spectrum structure in chiral gauge theories.

Use of quenched approximation to simplify the analysis.

Abstract

It is shown numerically, in a chiral U(1) gauge Higgs theory in which the left and right-handed fermion components have opposite U(1) charges, that the spectrum of gauge and Higgs fields surrounding a static fermion contains both a ground state and at least one stable excited state. To bypass the difficulties associated with dynamical fermions in a lattice chiral gauge theory we consider only static fermion sources in a quenched approximation, at fixed lattice spacing and couplings, and with a lattice action along the lines suggested long ago by Smit and Swift.