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

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

1997-06-26

arxiv.org/abs/hep-lat/9706021v1

Nucl.Phys.B513:593-626,1998

Physics

High Energy Physics

High Energy Physics - Lattice

34 pages, latex

Scientific paper

10.1016/S0550-3213(97)00691-3

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.

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