Chiral symmetry on the lattice
High Energy Physics - Lattice
2009-10-22 v1
Abstract
I review some of the difficulties associated with chiral symmetry in the context of a lattice regulator. I discuss the structure of Wilson Fermions when the hopping parameter is in the vicinity of its critical value. Here one flavor contrasts sharply with the case of more, where a residual chiral symmetry survives anomalies. I briefly discuss the surface mode approach, the use of mirror Fermions to cancel anomalies, and finally speculate on the problems with lattice versions of the standard model.
Cite
@article{arxiv.hep-lat/9411033,
title = {Chiral symmetry on the lattice},
author = {Michael Creutz},
journal= {arXiv preprint arXiv:hep-lat/9411033},
year = {2009}
}
Comments
Eleven pages, uuencoded compressed tar file. Contribution to Lat94, 27 Sep -- 1 Oct 1994, Bielefeld, Germany. Also available at http://penguin.phy.bnl.gov/www/papers/61011.ps.Z