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arXiv · hep-lat/9909012

Chiral Anomaly and Index Theorem on a finite lattice

Ting-Wai Chiu
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Abstract

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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Ting-Wai Chiu. 1999-09-02. Chiral Anomaly and Index Theorem on a finite lattice. https://doi.org/10.1016/s0920-5632(00)91752-3

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