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

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

1999-12-29

arxiv.org/abs/hep-lat/9912056v2

Nucl.Phys. B584 (2000) 511-527

Physics

High Energy Physics

High Energy Physics - Lattice

22 pages, LaTeX, a few corrections, references added and updated

Scientific paper

10.1016/S0550-3213(00)00297-2

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.

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