Chiral Anomaly and Ginsparg-Wilson Relation on the Noncommutative Torus
Satoshi Iso, Keiichi Nagao
Abstract
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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