Domain-wall fermions and chiral symmetries

Details Domain-wall fermions and chiral symmetries Domain-wall fermions and chiral symmetries

2001-12-06

arxiv.org/abs/hep-lat/0112006v1

Nucl.Phys.Proc.Suppl. 109A (2002) 70-76

Physics

High Energy Physics

High Energy Physics - Lattice

LaTex(espcrc2.sty), 7 pages, 8 figures, Talk given at Workshop on Lattice Hadron Physics, 9-18 July, 2001, Cairns, Australia

Scientific paper

10.1016/S0920-5632(02)01403-2

We investigate chiral properties of the domain-wall fermion (DWF) system. After a brief introduction for the DWF, we summarize the recent numerical results on the chiral properties of the domain-wall QCD (DWQCD), which seem mutually inconsistent. We next derive a formula which connects a chiral symmetry breaking term in the five dimensional DWF Ward-Takahashi identity with the four-dimensional hermitian Wilson-Dirac operator. Based on this formula, we propose a solution, which resolves the inconsistency among recent numerical data, and give a consistent picture of the chiral properties of the DWQCD.

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