Lattice Fermions and Chiral Symmetry

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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3 pages, LateX, uses espcrc2.sty (attached), Talk presented at LATTICE96(chiral gauge)

Scientific paper

10.1016/S0920-5632(96)00741-4

We propose a formulation of lattice fermions with one-sided differences that is hermitian, chirally symmetric (barring a bare mass term) and completely free of doubling. To obtain the axial anomaly in perturbation theory it was necessary to break chiral symmetry on the lattice only through a bare mass term for the physical fermion. The chiral limit may be taken once the continuum limit is reached. We comment on the role of the mass term with examples elsewhere in field theory.

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