A differential geometric setting for BRS transformations and anomalies. II
type: Item
instance of: scholarly article
title: A differential geometric setting for BRS transformations and anomalies. II
zbMATH Open document ID: 0627.53063
DOI: 10.1016/0393-0440(86)90007-0
author: Raymond Stora
author: Daniel Kastler
published in: Journal of Geometry and Physics
publication date: 1986-01-01T00:00:00Z
review text: This paper is a sequel to part I [cf. the preceding review (Zbl 0627.53062)]. It describes again the differential geometric framework for B.R.S. transformations and anomalies in gauge theory, but this time the principal bundle is assumed to have a matrix-group as structure group. So the gauge group \({\mathcal G}\) can now easily be described as an infinite dimensional Lie group (equivariant mappings from the total space into the matrix group). The complex whose first cohomology houses the anomalies, is now identified as a complex of left-invariant differential forms on the gauge group with values in matrix values differential forms on the total space of the principal bundle. The ``B.R.S.''-relations are once more derived in this setting.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 53C05
Mathematics Subject Classification ID: 58A12
Mathematics Subject Classification ID: 57R25
zbMATH DE Number: 4019961
zbMATH Keywords: B.R.S. transformations
zbMATH Keywords: anomalies in gauge theory
zbMATH Keywords: cohomology
zbMATH Keywords: left- invariant differential forms
Wikidata QID: Q115363175
reviewed by: Peter W. Michor
MaRDI profile type: Publication
full work available at URL: 0393-0440(86)90007-0
OpenAlex ID: W4251067325
cites work: A differential geometric setting for BRS transformations and anomalies. I
cites work: Q3785568
description: scientific article; zbMATH DE number 4019961