Axial anomaly and topological charge in lattice gauge theory with Overlap Dirac operator

Details Axial anomaly and topological charge in lattice gauge theory with Overlap Dirac operator Axial anomaly and topological charge in lattice gauge theory with Overlap Dirac operator

1998-12-03

arxiv.org/abs/hep-lat/9812003v6

Annals Phys. 296 (2002) 131-151

Physics

High Energy Physics

High Energy Physics - Lattice

Latex, 33 pages. v6: shortened and (hopefully) more succinct version, to appear in Ann.Phys

Scientific paper

10.1006/aphy.2001.6209

An explicit, detailed evaluation of the classical continuum limit of the axial anomaly/index density of the overlap Dirac operator is carried out in the infinite volume setting, and in a certain finite volume setting where the continuum limit involves an infinite volume limit. Our approach is based on a novel power series expansion of the overlap Dirac operator. The correct continuum expression is reproduced when the parameter $m_0$ is in the physical region $0

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