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The Index of a Ginsparg-Wilson Dirac operator

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arxiv hep-lat/0106012 v5 pith:WK3D4EE2 submitted 2001-06-19 hep-lat cond-mathep-phhep-th

Ting-Wai Chiu This is my paper · ORCID
classification hep-latcond-mathep-phhep-th
keywords diracoperatorgaugeginsparg-wilsonlatticeanomalyaxialbackground
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A novel feature of a Ginsparg-Wilson lattice Dirac operator is discussed. Unlike the Dirac operator for massless fermions in the continuum, this lattice Dirac operator does not possess topological zero modes for any topologically-nontrivial background gauge fields, even though it is exponentially-local, doublers-free, and reproduces correct axial anomaly for topologically-trivial gauge configurations.

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  1. Lattice Chiral Fermion without Hermiticity

    hep-lat 2024-11 unverdicted novelty 1.0 of 10

    A review of lattice fermion formulations, centered on a non-Hermitian one-sided-difference approach that avoids doublers while preserving chiral symmetry, plus surveys of Wilson, overlap, topological charge, and Monte...

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