How to get masses from Kaluza-Klein theory
type: Item
instance of: scholarly article
title: How to get masses from Kaluza-Klein theory
zbMATH Open document ID: 0695.53066
DOI: 10.1016/0393-0440(89)90019-3
published in: Journal of Geometry and Physics
publication date: 1989-01-01T00:00:00Z
review text: Starting off with a principal fibre bundle P equipped with an invariant Lorentzian metric g, the authors analyze symmetry breaking by considering the vertical part of the metric as a Higgs field, the values of which are constrained to an orbit of the symmetry group. This results in a splitting of the gauge field into a residual Yang-Mills field and massive vector bosons. Furthermore, an Einstein type field equation for the metric g and its splitting into ordinary Einstein equation, Yang-Mills equation, and Klein-Gordon type equation, is discussed. The general theory is illustrated by an example where the symmetry group Spin(4) is broken to U(1).
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 83E15
Mathematics Subject Classification ID: 81R40
zbMATH DE Number: 4138731
zbMATH Keywords: principal fibre bundle
zbMATH Keywords: invariant Lorentzian metric
zbMATH Keywords: symmetry breaking
zbMATH Keywords: Higgs field
zbMATH Keywords: Einstein type field equation
author: Yvan Kerbrat
author: Helene Kerbrat-Lunc
author: J. Śniatycki
reviewed by: Volker Perlick
MaRDI profile type: Publication
full work available at URL: 0393-0440(89)90019-3
OpenAlex ID: W2056219950
cites work: Q3721365
cites work: Spontaneous symmetry breaking and principal fibre bundles
cites work: Q4237472
cites work: A geometric interpretation of symmetry breaking in electroweak interactions
cites work: Q5565587
cites work: Q3729634
cites work: Q5537296
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description: scientific article; zbMATH DE number 4138731