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arxiv: hep-th/0212284 · v2 · submitted 2002-12-23 · ✦ hep-th · hep-lat

Chiral Anomaly and Ginsparg-Wilson Relation on the Noncommutative Torus

classification ✦ hep-th hep-lat
keywords anomalychiralginsparg-wilsonnoncommutativerelationtorusarbitraryargument
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We evaluate chiral anomaly on the noncommutative torus with the overlap Dirac operator satisfying the Ginsparg-Wilson relation in arbitrary even dimensions. Utilizing a topological argument we show that the chiral anomaly is combined into a form of the Chern character with star products.

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