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The Index of a Ginsparg-Wilson Dirac operator

Ting-Wai Chiu
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Abstract

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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Ting-Wai Chiu. 2001-10-11. The Index of a Ginsparg-Wilson Dirac operator. https://doi.org/10.1016/s0370-2693(01)01222-9

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