Canonical Approach to Ginsparg-Wilson Fermion
High Energy Physics - Lattice
2009-11-11 v3
Abstract
Based upon the lattice Dirac operator satisfying the Ginsparg-Wilson relation, we investigate canonical formulation of massless fermion on the spatial lattice. For free fermion system exact chiral symmetry can be implemented without species doubling. In the presence of gauge couplings the chiral symmetry is violated. We show that the divergence of the axial vector current is related to the chiral anomaly in the classical continuum limit.
Keywords
Cite
@article{arxiv.hep-lat/0501008,
title = {Canonical Approach to Ginsparg-Wilson Fermion},
author = {Kosuke Matsui and Tomohiro Okamoto and Takanori Fujiwara},
journal= {arXiv preprint arXiv:hep-lat/0501008},
year = {2009}
}
Comments
19 pages, 1 figure, final version