Simple Evaluation of the Chiral Jacobian with the Overlap Dirac Operator

Abstract

The chiral Jacobian, which is defined with Neuberger's overlap Dirac operator of the lattice fermion, is explicitly evaluated in the continuum limit without expanding it in the gauge coupling constant. Our calculational scheme is simple and straightforward. We determine a coefficient of the chiral anomaly for general values of the mass parameter and the Wilson parameter of the overlap Dirac operator.

Comments: 11 pages, uses PHYZZX, evaluation of lattice integrals is revised. The final version to appear in Prog. Theor. Phys