Chiral symmetry on the lattice

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.

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