Locality bound for effective four-dimensional action of domain-wall fermion
High Energy Physics - Lattice
2009-10-31 v2
Abstract
We discuss locality in the domain-wall QCD through the effective four-dimensional Dirac operator which is defined by the transfer matrix of the five-dimensional Wilson fermion. We first derive an integral representation for the effective operator, using the inverse five-dimensional Wilson-Dirac operator with the anti-periodic boundary condition in the fifth direction. Exponential bounds are obtained from it for gauge fields with small lattice field strength.
Cite
@article{arxiv.hep-lat/9912056,
title = {Locality bound for effective four-dimensional action of domain-wall fermion},
author = {Yoshio Kikukawa},
journal= {arXiv preprint arXiv:hep-lat/9912056},
year = {2009}
}
Comments
22 pages, LaTeX, a few corrections, references added and updated