Improving the locality of the overlap Dirac operator via approximate solutions of the Ginsparg-Wilson relation

Details Improving the locality of the overlap Dirac operator via approximate solutions of the Ginsparg-Wilson relation Improving the locality of the overlap Dirac operator via approximate solutions of the Ginsparg-Wilson relation

2003-09-22

arxiv.org/abs/hep-lat/0309148v1

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, contributed to Proceedings of Lattice2003(chiral)

Scientific paper

10.1016/S0920-5632(03)02626-4

We determine the free field hypercubic Dirac operator which is optimally close to satisfying the Ginsparg-Wilson relation. Inserting this operator into the overlap formula, we show that the analytic locality bound on the resulting overlap Dirac operator is substantially stronger than in the standard case. This improvement generally persists in gauge backgrounds when the plaquette variables are all close to unity.

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