Simple Evaluation of the Chiral Jacobian with the Overlap Dirac Operator

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1143/PTP.102.141

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.

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