A Wilson-Yukawa model with undoubled chiral fermions in 2D

Abstract

We consider the fermion spectrum in the strong coupling vortex phase of a lattice fermion-scalar model with a global $U(1{)}_L\times U(1{)}_R$, in 2D, in the context of a recently proposed two-cutoff lattice formulation. The fermion doublers are made massive by a strong Wilson-Yukawa coupling, but in contrast with the standard formulation of these models, in which the light fermion spectrum was found to be massive and vectorlike, we find massless undoubled fermions with chiral quantum numbers at finite lattice spacing. When the global symmetry is gauged, this model is expected to give rise to a chiral gauge theory.

34 pages, latex

References in corpus (5)

• A Lattice Construction of Chiral Gauge Theories
• Removing fermion doublers in chiral gauge theories on the lattice
• Continuum Gauge Fields from Lattice Gauge Fields
• Interpolation of Non-abelian Lattice Gauge Fields
• Manifestly Gauge Invariant Models of Chiral Lattice Fermions

Cited by in corpus (6)

• Aspects of Chiral Symmetry and the Lattice
• Lattice Chiral Gauge Theories
• Chiral Lattice Gauge Theories and The Strong Coupling Dynamics of a Yukawa-Higgs Model with Ginsparg-Wilson Fermions
• Lattice chirality and the decoupling of mirror fermions
• The Phase Diagram and Spectrum of Gauge-Fixed Abelian Lattice Gauge Theory
• The domain-wall model in an asymptotic-free dynamics