Manifestly Gauge Covariant Treatment of Lattice Chiral Fermions. II

Details Manifestly Gauge Covariant Treatment of Lattice Chiral Fermions. II Manifestly Gauge Covariant Treatment of Lattice Chiral Fermions. II

1997-06-24

arxiv.org/abs/hep-th/9706163v6

Phys.Rev. D56 (1997) 6829-6834

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, PHYZZX. The title is changed. The final version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.56.6829

We propose a new formulation of chiral fermions on a lattice, on the basis of a lattice extension of the covariant regularization scheme in continuum field theory. The species doublers do not emerge. The real part of the effective action is just one half of that of Dirac-Wilson fermion and is always gauge invariant even with a finite lattice spacing. The gauge invariance of the imaginary part, on the other hand, sets a severe constraint which is a lattice analogue of the gauge anomaly free condition. For real gauge representations, the imaginary part identically vanishes and the gauge invariance becomes exact.

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