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Chiral lattice fermions with correct vacuum polarization and chiral anomaly
Journal article   Peer reviewed

Chiral lattice fermions with correct vacuum polarization and chiral anomaly

Craig Pryor
Physical review. D, Particles and fields, Vol.43(8), pp.2669-2675
04/15/1991
DOI: 10.1103/PhysRevD.43.2669
PMID: 10013656

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Abstract

An action for chiral lattice fermions is proposed, which avoids the Nielsen-Ninomiya theorem by virtue of its nonlocality and nonbilinearity. The action is constructed by eliminating the extra fermion modes with a gauge-violating Majorana-type Wilson mass, which is then rendered invariant by an integration over gauge transformations. The free propagator is calculated, and the one-loop vacuum polarization is shown to be identical to that for Wilson fermions, even at nonzero lattice spacing. Also the chiral anomaly is shown to be the same as for Wilson fermions in the continuum limit. © 1991 The American Physical Society.

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