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Reflection Positivity of Free Overlap Fermions

High Energy Physics - Lattice 2010-12-24 v3

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.

Keywords

Cite

@article{arxiv.1005.3751,
  title  = {Reflection Positivity of Free Overlap Fermions},
  author = {Yoshio Kikukawa and Kouta Usui},
  journal= {arXiv preprint arXiv:1005.3751},
  year   = {2010}
}

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