Generalized Pauli-Villars regularization for undoubled lattice fermions

Abstract

A manifestly gauge invariant formulation of chiral theories with fermions on the lattice is developed. It combines SLAC lattice derivative \cite{DWY}, \cite{ACS}, \cite{S} and generalized Pauli-Villars regularization \cite{FS}. The theory is free of fermion doubling, requires only local gauge invariant counterterms and produces correct results when applied to exactly solvable two dimensional models.

10 pages LATEX file

References in corpus (4)

• Infinitely many regulator fields for chiral fermions
• Removing fermion doublers in chiral gauge theories on the lattice
• Chiral Gauge Theories and Fermion-Higgs Systems
• Manifestly Gauge Invariant Models of Chiral Lattice Fermions

Cited by in corpus (7)

• Lattice Chiral Fermions
• A Lattice Formulation of Chiral Gauge Theories
• Fermion theories on a 2d torus with Wilson action improved by Pauli -- Villars regularization
• Simple ansatz for the lattice fermion determinant
• Extension of the Nielsen-Ninomiya theorem
• Regularized overlap and the chiral determinant
• The fermion determinant and the chiral gauge theory on a lattice