Axial anomaly with the overlap-Dirac operator in arbitrary dimensions

Abstract

We evaluate for arbitrary even dimensions the classical continuum limit of the lattice axial anomaly defined by the overlap-Dirac operator. Our calculational scheme is simple and systematic. In particular, a powerful topological argument is utilized to determine the value of a lattice integral involved in the calculation. When the Dirac operator is free of species doubling, the classical continuum limit of the axial anomaly in various dimensions is combined into a form of the Chern character, as expected.

9 pages, uses JHEP.cls and amsfonts.sty, the final version to appear in JHEP

References in corpus (2)

• The U_A(1) Problem on the Lattice with Ginsparg-Wilson Fermions
• More about the axial anomaly on the lattice

Cited by in corpus (21)

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• Perturbative Renormalization and Mixing of Quark and Glue Energy-Momentum Tensors on the Lattice
• Axial Anomaly and Index of the Overlap Hypercube Operator
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• Matrix Model and Ginsparg-Wilson Relation
• Axial anomaly in the reduced model: Higher representations
• A calculation of the gauge anomaly with the chiral overlap operator
• Overlap Fermion in External Gravity