Axial vector current of exact chiral symmetry on the lattice

Details Axial vector current of exact chiral symmetry on the lattice Axial vector current of exact chiral symmetry on the lattice

1998-08-21

arxiv.org/abs/hep-lat/9808026v2

Nucl.Phys. B547 (1999) 413-423

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, LaTeX2e, some corrections in references, typo fixed, a discussion of the property of the current kernel added

Scientific paper

10.1016/S0550-3213(99)00059-0

We discuss the exact chiral symmetry and its spontaneous breakdown in lattice QCD with the Dirac operators satisfying the Ginsparg-Wilson relation. The axial vector current, which turns out to be related to the vector current simply by the insertion of the operator \gamma_5 (1-aD), is explicitly constructed in the case of the Neuberger-Dirac operator. We also consider an Euclidean proof of the Nambu-Goldstone theorem using the Ward-Takahashi identity of this symmetry.

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