Simple Evaluation of the Chiral Jacobian with the Overlap Dirac Operator | Zendy

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Simple Evaluation of the Chiral Jacobian with the Overlap Dirac Operator

Author(s) -

Hiroshi Suzuki

Publication year - 1999

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.102.141

Subject(s) - dirac operator , physics , jacobian matrix and determinant , coupling constant , mathematical physics , operator (biology) , chiral anomaly , anomaly (physics) , simple (philosophy) , dirac algebra , fermion , dirac equation , theoretical physics , quantum mechanics , mathematics , biochemistry , chemistry , philosophy , epistemology , repressor , transcription factor , gene

The chiral Jacobian, which is defined with Neuberger's overlap Dirac operatorof the lattice fermion, is explicitly evaluated in the continuum limit withoutexpanding it in the gauge coupling constant. Our calculational scheme is simpleand straightforward. We determine a coefficient of the chiral anomaly forgeneral values of the mass parameter and the Wilson parameter of the overlapDirac operator.Comment: 11 pages, uses PHYZZX, evaluation of lattice integrals is revised. The final version to appear in Prog. Theor. Phy

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