A note on the covariant anomaly as an equivariant momentum mapping
type: Item
instance of: scholarly article
title: A note on the covariant anomaly as an equivariant momentum mapping
zbMATH Open document ID: 0576.58034
DOI: 10.1007/BF01216098
author: D. Bao
author: V. P. Nair
published in: Communications in Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: We show that there is a natural gauge invariant presymplectic structure w on the space A of all gauge connections. The covariant axial anomaly \(\bar G\) is found to be the essentially unique infinitesimally equivariant momentum mapping for the action of the group of gauge transformations on (A,w). The infinitesimal equivariance of \(\bar G\) is shown to be equivalent to the Wess-Zumino consistency condition for the consistent axial anomaly G. We also show that the X operator of Bardeen and Zumino, which relates G and \(\bar G,\) corresponds to the one-form (on the space of connections A) of the presymplectic structure w.
Mathematics Subject Classification ID: 58J90
Mathematics Subject Classification ID: 81T17
zbMATH DE Number: 3921594
zbMATH Keywords: gauge invariant presymplectic structure
zbMATH Keywords: gauge connections
zbMATH Keywords: covariant axial anomaly
zbMATH Keywords: equivariant momentum mapping
MaRDI profile type: Publication
cites work: Q4174811
cites work: Dirac operators coupled to vector potentials
cites work: The dynamics of the Einstein-Dirac system. I: A principal bundle formulation of the theory and its canonical analysis
cites work: Q5341449
cites work: Complex manifolds without potential theory. (With an appendix on the geometry of characteristic classes). 2nd ed
cites work: Q3902148
cites work: Q3346437
cites work: Q5649693
description: scientific article; zbMATH DE number 3921594