Gauge-invariant discrete models of Yang-Mills equations
type: Item
instance of: scholarly article
title: Gauge-invariant discrete models of Yang-Mills equations
zbMATH Open document ID: 0935.53017
DOI: 10.1007/BF02355084
published in: Mathematical Notes
publication date: 2000-05-09T00:00:00Z
review text: The author constructs two discrete analogues of the Yang-Mills equations in \(\mathbb{R}^n\) for some matrix Lie group \(G\), and defines a discrete analog of the operator of exterior covariant differentiation. This operator is used to construct a model satisfying the gauge invariance principle. Also, for the developed discrete model, a result which is similar to the one of the continuous model is provided, stating that for a four-dimensional initial manifold the Yang-Mills theory can be regarded as a nonlinear generalization of the Hodge theory.
Mathematics Subject Classification ID: 53C07
Mathematics Subject Classification ID: 81T13
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 1238051
zbMATH Keywords: discrete analog
zbMATH Keywords: Yang-Mills equations
zbMATH Keywords: gauge invariance
zbMATH Keywords: discrete model
zbMATH Keywords: Yang-Mills theory
zbMATH Keywords: Hodge theory
author: Volodymyr Sushch
reviewed by: Vladimir Balan
MaRDI profile type: Publication
cites work: Q4692279
cites work: Q4858333
cites work: Q3311231
description: scientific article; zbMATH DE number 1238051