Talk presented by Ting-Wai Chiu

Parallel Session: Chiral Fermions III

Friday July 2nd, 16.40 - 17.00, Room B

Chiral Anomaly and Index Theorem on a finite lattice

Abstract: The chiral anomaly for lattice Dirac operator $ D $ on a finite lattice is discussed. The condition for $ D $ to reproduce correct chiral anomaly at each site of a finite lattice for smooth background gauge fields is that the Dirac operator possesses exact zero modes satisfying the Atiyah-Singer index theorem. A general formula for the anomaly function on a finite lattice is derived. The topological characteristics of $ D $ and the general index theorem are discussed.

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