Renormalization of lattice gauge theories with massless Ginsparg–Wilson fermions

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 q...

Full description

Saved in:
Bibliographic Details
Published in:Nuclear physics. B 2000-05, Vol.575 (1), p.255-266
Main Authors: Reisz, T., Rothe, H.J.
Format: Article
Language:English
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0550-3213
1873-1562
DOI:10.1016/S0550-3213(99)00733-6