Charged Fermion States in the Quenched U(1) Chiral Wilson–yukawa Model

Abstract

Property of charged fermion states 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 results. On the other hand the behavior of the propagator including large lattice size dependence is well described by the large Wilson-Yukawa coupling expansion, providing strong evidence that no charged fermion state exists as an asymptotic particle in this model.

Domain wall fermions with Majorana couplings

“…Thus the crucial question is what is the gauge interactions of such neutral chiral states. Previous studies of similar states appearing in the models with the Wilson-Yukawa couplings give a strong evidence that such states in the continuum limit become noninteracting [11,12,13,14]. It is this point that leads to very plausible failure of those models, as well as the models with multifermion couplings [22].…”

“…Furthermore, in the case of complex representations, there arises a serious problem with the properties of the model within the PMS phase, where its spectrum either becomes vectorlike, or consists only of neutral, i.e. singlet under the gauge group, chiral fermions, whose gauge interactions very likely vanish in the continuum limit [11,12,13,14]. In the domain wall formulation the chiral fermions ψ and χ appear as collective states of coupled five-dimension fermions.…”

“…We see that these system is equivalent to that considered in the previous section, only if z = 1. However one can hardly expect that it is so on the ground of the estimations of z 2 in pure scalar models [12,14]. For instance, in O(2) and O(4) models it has been found z 2 ≃ 0.19.…”