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Chiral Anomaly and Index Theorem on a finite lattice

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.

preprint1999arXivOpen access
Ting-Wai Chiu
cond-mathep-phhep-lathep-th
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Open access1 author4 topics
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Ting-Wai Chiu

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