Chiral Anomaly and Index Theorem on a finite lattice

Details Chiral Anomaly and Index Theorem on a finite lattice Chiral Anomaly and Index Theorem on a finite lattice

1999-09-02

arxiv.org/abs/hep-lat/9909012v1

Nucl.Phys.Proc.Suppl.83:612-614,2000

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE99(chiral fermion), 3 pages, Latex, espcrc2.sty

Scientific paper

The condition for a lattice Dirac operator 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.

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