The Index of a Ginsparg-Wilson Dirac operator

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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8 pages, minor changes, the version to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(01)01222-9

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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