Reduction of homogeneous Yang-Mills fields
type: Item
instance of: scholarly article
title: Reduction of homogeneous Yang-Mills fields
zbMATH Open document ID: 0692.53041
DOI: 10.1016/0393-0440(89)90009-0
author: Mark J. Gotay
published in: Journal of Geometry and Physics
publication date: 1989-01-01T00:00:00Z
review text: This paper deals with space homogeneous Yang-Mills equations in an \((n+1)\)-dimensional Minkowski space-time which are essentially ordinary differential equations. The gauge invariance of these equations sets up restrictions on the initial conditions. This set of initial data on which the symmetry group of the equation acts is analyzed. There are various reductions of this set which are shown to agree. Moreover for the gauge groups SU(2) or SO(3) it is shown that this system is equivalent to that of n interacting particles moving in \(R^ 3\) with zero total angular momentum. The particular cases \(n=1\), \(n=2\) are discussed in detail.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 81T08
Mathematics Subject Classification ID: 37J99
zbMATH DE Number: 4133065
zbMATH Keywords: reduction
zbMATH Keywords: Poisson algebra
zbMATH Keywords: Yang-Mills equations
zbMATH Keywords: reductions
MaRDI profile type: Publication
full work available at URL: 0393-0440(89)90009-0
OpenAlex ID: W2060844795
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description: scientific article; zbMATH DE number 4133065