Fermion spectrum in the quenched U(1) chiral Wilson-Yukawa model

TL;DR

This study investigates the charged fermion states in the quenched U(1) chiral Wilson-Yukawa model, finding no evidence of charged particles as asymptotic states through lattice simulations and theoretical expansion.

Contribution

It provides the first detailed analysis of the fermion spectrum in this model, demonstrating the absence of charged asymptotic states using large coupling expansion and lattice data.

Findings

Charged fermion propagator fitting is unreliable with a single hyperbolic cosine.

Large Wilson-Yukawa coupling expansion describes the propagator behavior well.

No charged state exists as an asymptotic particle in the model.

Abstract

Nature of charged fermion state is investigated in the quenched U(1) chiral Wilson-Yukawa model. Fitting the charged fermion propagator with a single hyperbolic cosine does not yield reliable result. On the other hand the behaviour of the propagator including large lattice size dependence is well described by the large Wilson-Yukawa coupling expansion, providing strong evidence that no charged state exists as an asymptotic particle in this model.