Simple Evaluation of the Chiral Jacobian with the Overlap Dirac Operator

1998/12/31 by Hiroshi Suzuki · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #hep-lat #hep-th

paper · pdf · doi:10.1143/ptp.102.141

published as Prog.Theor.Phys. 102 (1999) 141-147 · 11 pages, uses PHYZZX, evaluation of lattice integrals is revised. The final version to appear in Prog. Theor. Phys

arxiv created 1999/06/10 · openalex publication_date 1999/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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.

Cited by

• Weyl fermions on the lattice and the non-abelian gauge anomaly
• Classical limits of scalar and tensor gauge operators based on the overlap Dirac matrix
• Λ-parameter of lattice QCD with the overlap-Dirac operator
• Chiral solution to the Ginsparg-Wilson equation