Properties of a New Class of Lattice Dirac Operators

Kazuo Fujikawa; Masato Ishibashi

Properties of a New Class of Lattice Dirac Operators

High Energy Physics - Lattice 2007-05-23 v1

Authors: Kazuo Fujikawa , Masato Ishibashi

Abstract

A new class of lattice Dirac operators $D$ have been recently proposed on the basis of the generalized Ginsparg-Wilson relation, $\gamma_5(\gamma_5 D) + (\gamma_5 D)\gamma_5 =2a^{2k+1}(\gamma_5 D)^{2k+2}$ , where $k$ is a non-negative integer. We discuss the index theorem and locality properties for this general class of lattice Dirac operators.

Keywords

lattice Dirac operators Ginsparg-Wilson relation index theorem locality

Cite

@article{arxiv.hep-lat/0110023,
  title  = {Properties of a New Class of Lattice Dirac Operators},
  author = {Kazuo Fujikawa and Masato Ishibashi},
  journal= {arXiv preprint arXiv:hep-lat/0110023},
  year   = {2007}
}

Comments

3 pages, Lattice2001(chiral femions)

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