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Domain-wall fermions and chiral symmetries

Sinya Aoki
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Abstract

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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Sinya Aoki. 2001-12-06. Domain-wall fermions and chiral symmetries. https://doi.org/10.1016/s0920-5632(02)01403-2

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