Finslerian fibered extension of gauge field theory: Lie-invariance in fibres and effective Lagrangian
type: Item
instance of: scholarly article
title: Finslerian fibered extension of gauge field theory: Lie-invariance in fibres and effective Lagrangian
zbMATH Open document ID: 0691.53058
DOI: 10.1016/0034-4877(88)90015-8
published in: Reports on Mathematical Physics
publication date: 1988-01-01T00:00:00Z
review text: The article is mainly focused on the description of the type of solutions to the Einstein, Maxwell and Yang-Mills equations when all the fibres admit a Lie-group structure. From the contents of the paper: Lie- invariance in the fibres, choices of the normal coordinates in the fibres, gauge fields associated with spinor isomultiplets, consequences of metric conditions, Lie-invariant isospinors, generalization of the Klein-Gordon and Dirac equations, the Lagrangian and the field equations under symmetric application of the spinor conditions, vacuum solutions, effective Lagrangian for Lie-invariant solutions, occurrence of gauge- field mass of matter with respect to the Killing vacuum.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 81T99
Mathematics Subject Classification ID: 53B40
zbMATH DE Number: 4131225
zbMATH Keywords: Klein-Gordon equations
zbMATH Keywords: Yang-Mills equations
zbMATH Keywords: Lie-invariance
zbMATH Keywords: gauge fields
zbMATH Keywords: Dirac equations
zbMATH Keywords: effective Lagrangian
author: Gennadii S. Asanov
MaRDI profile type: Publication
full work available at URL: 0034-4877(88)90015-8
OpenAlex ID: W1963872075
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description: scientific article; zbMATH DE number 4131225