Charged fermion states in the quenched U(1) chiral Wilson-Yukawa model
نویسندگان
چکیده
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.
منابع مشابه
Fermion-Higgs model with strong Wilson-Yukawa coupling in two dimensions
The fermion mass spectrum is studied in the quenched approximation in the strong coupling vortex phase (VXS) of a globally U(1)L⊗U(1)R symmetric scalar-fermion model in two dimensions. In this phase fermion doublers can be completely removed from the physical spectrum by means of a strong Wilson-Yukawa coupling. The lowest lying fermion spectrum in this phase consists most probably only of a ma...
متن کاملA Wilson-yukawa Model with a Chiral Spectrum in 2d
We summarize our recent study [1] of the fermion spectrum in a fermion-scalar 2D model with a chiral U (1)L × U (1)R global symmetry. This model is obtained from a two-cutoff formulation of a 2D U (1) chiral gauge theory, in the limit of zero gauge coupling. The massless fermion spectrum found deep in the vortex phase is undoubled and chiral.
متن کاملFermion Interactions in the Wilson Yukawa Approach for Lattice Chiral Gauge Theories
We consider fermion-gauge couplings in the Wilson-Yukawa approach for lattice chiral gauge theories. At the leading order of a fermionic hopping parameter expansion we find that the fermion-gauge coupling has a chiral and tree-like structure. We argue that this fermion-gauge coupling remains non-zero in the continuum limit taken in the Higgs phase. Possible fermionscalar couplings in this appro...
متن کاملFurther discussions on a possible lattice chiral gauge theory
In a possible SUL(2) lattice chiral gauge theory with a large multifermion coupling, we try to further clarify the threshold phenomenon: the possibility that the right-handed three-fermion state turns into the virtual states of its constituents (free chiral fermions) in the low-energy limit. Provided this phenomenon occurs, we discuss the chiral gauge coupling, Ward identities and the gauge ano...
متن کاملMulticritical Points in a Lattice Yukawa Model with the Wilson - Yukawa Coupling ∗
For a lattice regularized chiral-invariant SU(2)L× SU(2)R fermion-scalar model with a Yukawa coupling y and a Wilson-Yukawa coupling w, we investigate the phase structure and in particular show the existence of the multicritical line, in the strong Yukawa and/or Wilson Yukawa coupling region, at which four phases meet. The result is in good agreement with the Monte Carlo simulation. This analyt...
متن کامل