Reflection Positivity of Free Overlap Fermions

Abstract

It is shown that free lattice fermions defined by overlap Dirac operator fulfill the Osterwalder-Schrader reflection positivity condition with respect to the link-reflection. The proof holds true in non-gauge models with interactions such as chiral Yukawa models.

Comments: 16pages, the proof for Weyl fermions and chiral Yukawa model are explained in some detail, references added. This version will appear in Physical Review D