Chiral Anomaly and Ginsparg-Wilson Relation on the Noncommutative Torus

Details Chiral Anomaly and Ginsparg-Wilson Relation on the Noncommutative Torus Chiral Anomaly and Ginsparg-Wilson Relation on the Noncommutative Torus

2002-12-23

arxiv.org/abs/hep-th/0212284v2

Prog.Theor.Phys. 109 (2003) 1017-1032

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, uses ptptex.cls and ptp-prep.clo, references added, typo corrected, the final version to appear in Prog.Theor.Phys

Scientific paper

10.1143/PTP.109.1017

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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