Magnetic moments and general covariance
type: Item
instance of: scholarly article
title: Magnetic moments and general covariance
zbMATH Open document ID: 0576.53071
DOI: 10.1007/BF00398549
author: Shlomo Sternberg
published in: Letters in Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: Let M be an ordinary spacetime while H is a subgroup of a Lie group G which may include both geometrical information about spacetime and internal symmetries. Denote by \(P_ H\) the set of the diffeomorphisms which commute with the action of H; \(P_ H\) can be enlarged to a principal bundle \(P_ G\). In Cartan's case, the space G/H is assumed to have the same dimension as M, however the author makes a weaker hypothesis, that is, he imposes a nondegeneracy condition which implies that dim G/H\(\leq \dim M\). Some different cases are mentioned in this paper (e.g. M is a Minkowski space, H the Lorentz group and G the Poincaré group). The case of a Cartan connection and Higgs field is also discussed and here the author obtains Souriau's universal equations. Proofs and results are sometimes not very clear; the author refers many times to other papers.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 83C99
zbMATH DE Number: 3921457
zbMATH Keywords: gauge theories
zbMATH Keywords: spacetime
zbMATH Keywords: Cartan connection
zbMATH Keywords: Higgs field
zbMATH Keywords: Souriau's universal equations
MaRDI profile type: Publication
cites work: Q3696183
cites work: Group actions on principal bundles and dimensional reduction
cites work: On the interaction of spin and torsion
full work available at URL: https://doi.org/10.1007/bf00398549
OpenAlex ID: W2054107539
description: scientific article; zbMATH DE number 3921457