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Axial vector current of exact chiral symmetry on the lattice

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abstract

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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hep-lat 1

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2025 1

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  • N=1 Supersymmetric QCD on the lattice using overlap fermions hep-lat · 2025-07-22 · conditional · none · ref 27 · internal anchor

    A chirally symmetric overlap lattice action for N=1 SQCD is constructed by introducing auxiliary fermion fields that are integrated out, yielding new ultralocal interaction terms.