Locality bound for effective four-dimensional action of domain-wall fermion

Preprint

25 January 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-lat/9912056

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.

Keywords

EFFECTIVE FOUR DIMENSIONAL
INTEGRAL REPRESENTATION
DIMENSIONAL WILSON
DIMENSIONAL ACTION
DIRAC OPERATOR
DOMAIN WALL
FERMION
QCD

All Related Versions

Version 1, 1999-12-29, ArXiv
Version 2, 2000-01-25, ArXiv
Published version: Nuclear Physics B, 584 (1-2), 511.

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