Generalized Pauli-Villars regularization for undoubled lattice fermions

TL;DR

This paper introduces a gauge invariant lattice formulation for chiral fermions that avoids fermion doubling by combining SLAC derivatives with generalized Pauli-Villars regularization, ensuring correct results in solvable models.

Contribution

It develops a new gauge invariant lattice approach for chiral fermions that eliminates fermion doubling using a novel combination of SLAC derivatives and Pauli-Villars regularization.

Findings

Fermion doubling is avoided in the lattice formulation.

The approach requires only local gauge invariant counterterms.

Correct results are obtained in two-dimensional models.

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.