Criterium for the index theorem on the lattice

Details Criterium for the index theorem on the lattice Criterium for the index theorem on the lattice

1999-12-09

arxiv.org/abs/hep-lat/9912015v6

Physics

High Energy Physics

High Energy Physics - Lattice

Talk presented in '' II International Workshop on Hadron Physics'', 25-29 September, 2002, Coimbra, Portugal and presented in,

Scientific paper

We study how far the Index Theorem can be extrapolated from the continuum to finite lattices with finite topological charge densities. To examine how the Wilson action approximates the Index theorem, we specialize in the lattice version of the Schwinger model. We propose a new criterion for solutions of the Ginsparg-Wilson Relation constructed with the Wilson action. We conclude that the Neuberger action is the simplest one that maximally complies with the Index Theorem, and that its best parameter in d=2 is m0=1.1 +- 0.1 .

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