The Index and Axial Anomaly of a lattice Dirac operator

Details The Index and Axial Anomaly of a lattice Dirac operator The Index and Axial Anomaly of a lattice Dirac operator

2001-10-15

arxiv.org/abs/hep-lat/0110083v1

Nucl.Phys.Proc.Suppl.106:715-717,2002

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, LaTex, Lattice2001(chiral)

Scientific paper

10.1016/S0920-5632(01)01825-4

A remarkable feature of a lattice Dirac operator is discussed. Unlike the Dirac operator for massless fermions in the continuum, this Ginsparg-Wilson 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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