A Perturbative Construction of Lattice Chiral Fermions

Details A Perturbative Construction of Lattice Chiral Fermions A Perturbative Construction of Lattice Chiral Fermions

1995-03-23

arxiv.org/abs/hep-lat/9503022v1

Phys.Lett. B378 (1996) 222-226

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, LaTex

Scientific paper

10.1016/0370-2693(96)00381-4

We perform a renormalization group transformation to construct a lattice theory of chiral fermions. The field variables of the continuum theory are averaged over hypercubes to define lattice fields. Integrating out the continuum variables in perturbation theory we derive a chirally invariant effective action for the lattice fields. This is consistent with the Nielsen-Niniomiya theorem because the effective action is nonlocal. We also construct the axial current on the lattice and we show that the axial anomaly of the continuum theory is reproduced in the Schwinger model. This shows that chiral fermions can be regularized on the lattice.

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