Three-dimensional Yang-Mills-Higgs equations in gauge-invariant variables
type: Item
instance of: scholarly article
title: Three-dimensional Yang-Mills-Higgs equations in gauge-invariant variables
zbMATH Open document ID: 0802.58064
DOI: 10.1007/BF01016990
author: F. A. Lunev
published in: Theoretical and Mathematical Physics
publication date: 1994-07-13T00:00:00Z
review text: The author proposes a formulation of three-dimensional \(SU (2)\) and \(SO (1,2)\) Yang-Mills theories in the gauge-invariant variables \(G_{ij} = \text{tr}^*F_ i{}^*F_ j\), where \({}^*F_ i = {1 \over 2} \varepsilon_{ijk} F^{jk}\) is the tensor dual to \(F^{ij}\). It is shown that the tensor \(G_{ij}\) satisfies three-dimensional equations with simple right-hand side and \(G_{ij}\) playing the role of a new metric on spacetime. This result is generalized to the case of a system of Yang-Mills-Higgs fields.
Mathematics Subject Classification ID: 58J60
Mathematics Subject Classification ID: 81T13
zbMATH DE Number: 589558
zbMATH Keywords: spacetime
zbMATH Keywords: gauge invariance
zbMATH Keywords: Yang-Mills theory
zbMATH Keywords: Lagrangian
zbMATH Keywords: Yang-Mills- Higgs equations
reviewed by: Vladimir Balan
MaRDI profile type: Publication
cites work: Q3946763
cites work: Q5557062
cites work: Q3715336
full work available at URL: https://doi.org/10.1007/bf01016990
OpenAlex ID: W2077657708
description: scientific article; zbMATH DE number 589558