Axial Anomaly in Lattice Abelian Gauge Theory in Arbitrary Dimensions
High Energy Physics - Lattice
2009-10-31 v1 High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.hep-lat/9906016,
title = {Axial Anomaly in Lattice Abelian Gauge Theory in Arbitrary Dimensions},
author = {Takanori Fujiwara and Hiroshi Suzuki and Ke Wu},
journal= {arXiv preprint arXiv:hep-lat/9906016},
year = {2009}
}
Comments
LaTeX, 10 pages