Geometrical aspects of chiral anomalies in the overlap

Preprint

5 March 1998

preprint
Published by arXiv in arXiv

Abstract

The set of one dimensional lowest energy eigenspaces used to construct the overlap induces a two form on gauge orbit space which is the locally exact curl of Berry's connection. If anomalies do not cancel, examples of two dimensional closed sub-manifolds of orbit space are produced over which the integral of the above two form does not vanish. Based on these observations, a natural definition of covariant currents is obtained, a simple way to calculate chiral anomalies on the lattice is found, and indications for how to construct an ideal regularization of chiral gauge theories are seen to emerge.

Keywords

GEOMETRICAL ASPECTS
ENERGY EIGENSPACES
DIMENSIONAL LOWEST
EIGENSPACES USED
CHIRAL ANOMALIES
ORBIT SPACE
TWO FORM

All Related Versions

Version 1, 1998-02-25, ArXiv
Version 2, 1998-03-05, ArXiv
Version 3, 1998-06-16, ArXiv
Published version: Physical Review D, 59 (8), 085006.

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