Axial Anomaly in Lattice Abelian Gauge Theory in Arbitrary Dimensions

Details Axial Anomaly in Lattice Abelian Gauge Theory in Arbitrary Dimensions Axial Anomaly in Lattice Abelian Gauge Theory in Arbitrary Dimensions

1999-06-17

arxiv.org/abs/hep-lat/9906016v1

Phys.Lett. B463 (1999) 63-68

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX, 10 pages

Scientific paper

10.1016/S0370-2693(99)00956-9

Axial anomaly of lattice abelian gauge theory in hyper-cubic regular lattice in arbitrary even dimensions is investigated by applying the method of exterior differential calculus. The topological invariance, gauge invariance and locality of the axial anomaly determine the explicit form of the topological part. The anomaly is obtained up to a multiplicative constant for finite lattice spacing and can be interpreted as the Chern character of the abelian lattice gauge theory.

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