Chiral Anomaly and Ginsparg-Wilson Relation on the Noncommutative Torus

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.

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