A unified approach to the gauging of space-time and internal symmetries
type: Item
instance of: scholarly article
title: A unified approach to the gauging of space-time and internal symmetries
zbMATH Open document ID: 0628.53077
DOI: 10.1007/BF00759578
author: Eric A. Lord
published in: General Relativity and Gravitation
publication date: 1987-01-01T00:00:00Z
review text: In this paper, the properties of the manifold of a Lie group G, fibered by the cosets of a subgroup H, are exploited to obtain a geometrical description of a gauge theory in space-time G/H. Gauge potentials and matter fields are pullbacks of equivariant fields on G. The underlying group G to be gauged is the group G of the let translations on the manifold G and is associated with a trivial connection, namely the Maurer-Cartan form. Gauge transformations are all those diffeomorphisms on G that preserve the fiber-bundle structure.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 53C05
Mathematics Subject Classification ID: 81T08
zbMATH DE Number: 4022120
zbMATH Keywords: Lie group
zbMATH Keywords: gauge theory
zbMATH Keywords: Gauge potentials
zbMATH Keywords: Maurer-Cartan form
zbMATH Keywords: Gauge transformations
MaRDI profile type: Publication
cites work: Q5731354
cites work: Gauge theory of a group of diffeomorphisms. I. General principles
cites work: Self-duality in four-dimensional Riemannian geometry
full work available at URL: https://doi.org/10.1007/bf00759578
OpenAlex ID: W2002218689
description: scientific article; zbMATH DE number 4022120