Fermion determinant and chiral anomaly on a finite lattice

Details Fermion determinant and chiral anomaly on a finite lattice Fermion determinant and chiral anomaly on a finite lattice

1999-06-10

arxiv.org/abs/hep-lat/9906007v2

Physics

High Energy Physics

High Energy Physics - Lattice

Latex, 29 pages, 4 eps figures, references added and typo corrected

Scientific paper

The fermion determinant and the chiral anomaly of lattice Dirac operator D on a finite lattice are investigated. The condition for D to reproduce correct chiral anomaly at each site of a finite lattice for smooth background gauge fields is that D possesses exact zero modes satisfying the Atiyah-Singer index theorem. This is also the necessary condition for D to have correct fermion determinant (ratio) which plays the important role of incorporating dynamical fermions in the functional integral. We outline a scheme for dynamical fermion simulation of lattice QCD with topologically proper D.

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