Perturbation Calculation of the Axial Anomaly of a Ginsparg-Wilson lattice Dirac operator

Details Perturbation Calculation of the Axial Anomaly of a Ginsparg-Wilson lattice Dirac operator Perturbation Calculation of the Axial Anomaly of a Ginsparg-Wilson lattice Dirac operator

2001-09-20

arxiv.org/abs/hep-lat/0109016v2

Phys.Rev.D65:054508,2002

Physics

High Energy Physics

High Energy Physics - Lattice

25 pages, v2: calculation up to O(g^4) for nonabelian gauge background

Scientific paper

10.1103/PhysRevD.65.054508

A recent proposal suggests that even if a Ginsparg-Wilson lattice Dirac operator does not possess any topological zero modes in topologically-nontrivial gauge backgrounds, it can reproduce correct axial anomaly for sufficiently smooth gauge configurations, provided that it is exponentially-local, doublers-free, and has correct continuum behavior. In this paper, we calculate the axial anomaly of this lattice Dirac operator in weak coupling perturbation theory, and show that it recovers the topological charge density in the continuum limit.

Affiliated with

Also associated with

No associations

Rating

Perturbation Calculation of the Axial Anomaly of a Ginsparg-Wilson lattice Dirac operator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Perturbation Calculation of the Axial Anomaly of a Ginsparg-Wilson lattice Dirac operator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Perturbation Calculation of the Axial Anomaly of a Ginsparg-Wilson lattice Dirac operator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-722854