Axial anomaly with the overlap-Dirac operator in arbitrary dimensions
High Energy Physics - Lattice
2009-11-07 v2 High Energy Physics - Theory
Abstract
We evaluate for arbitrary even dimensions the classical continuum limit of the lattice axial anomaly defined by the overlap-Dirac operator. Our calculational scheme is simple and systematic. In particular, a powerful topological argument is utilized to determine the value of a lattice integral involved in the calculation. When the Dirac operator is free of species doubling, the classical continuum limit of the axial anomaly in various dimensions is combined into a form of the Chern character, as expected.
Cite
@article{arxiv.hep-lat/0208057,
title = {Axial anomaly with the overlap-Dirac operator in arbitrary dimensions},
author = {Takanori Fujiwara and Keiichi Nagao and Hiroshi Suzuki},
journal= {arXiv preprint arXiv:hep-lat/0208057},
year = {2009}
}
Comments
9 pages, uses JHEP.cls and amsfonts.sty, the final version to appear in JHEP