Chiral invariance and lattice fermions with minimal doubling

Details Chiral invariance and lattice fermions with minimal doubling Chiral invariance and lattice fermions with minimal doubling

1994-11-08

arxiv.org/abs/hep-lat/9411012v1

Phys.Lett. B346 (1995) 99-105

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, latex, no figures

Scientific paper

10.1016/0370-2693(94)01675-3

A few years ago some attention has been given to a fermionic action on the lattice, with a Wilson-like term which is chirally invariant but breaks the hypercubic space-time lattice symmetry. This action describes two Dirac fields in the continuum limit, provided the coefficient $\lambda$ of the Wilson-like term satisfies $\lambda > \frac{1}{2}$. In this letter it is shown that for $\frac{1}{2} < \lambda \leq 1$ the theory is link-reflection positive. The propagator has the expected real energy poles. Modulo a phase shift on the fermions, the only relevant terms which can be added to the action respecting its symmetries have dimension $4$.

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