Renormalization of lattice gauge theories with massless Ginsparg Wilson fermions

Details Renormalization of lattice gauge theories with massless Ginsparg Wilson fermions Renormalization of lattice gauge theories with massless Ginsparg Wilson fermions

1999-08-16

arxiv.org/abs/hep-lat/9908013v1

Nucl.Phys. B575 (2000) 255-266

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, Latex2e

Scientific paper

10.1016/S0550-3213(99)00733-6

Using functional techniques, we prove, to all orders of perturbation theory, that lattice vector gauge theories with Ginsparg Wilson fermions are renormalizable. For two or more massless fermions, they satisfy a flavour mixing axial vector Ward identity. It involves a lattice specific part that is quadratic in the vertex functional and classically irrelevant. We show that it stays irrelevant under renormalization. This means that in the continuum limit the (standard) chiral symmetry becomes restored. In particular, the flavour mixing current does not require renormalization.

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