Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex

We study a discrete model of the SU(2) Yang-Mills equations on a combinatorial analog of R4. Self-dual and anti-self-dual solutions of discrete Yang-Mills equations are constructed. To obtain these solutions we use both techniques of a double complex and the quaternionic approach. Interesting analog...

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Autor principal:	SUSHCH,VOLODYMYR
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
Materias:	Yang-Mills equations self-dual and anti-self-dual equations instantons and anti-instantons difference equations
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300007
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spelling	oai:scielo:S0719-064620100003000072018-10-08Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double ComplexSUSHCH,VOLODYMYR Yang-Mills equations self-dual and anti-self-dual equations instantons and anti-instantons difference equations We study a discrete model of the SU(2) Yang-Mills equations on a combinatorial analog of R4. Self-dual and anti-self-dual solutions of discrete Yang-Mills equations are constructed. To obtain these solutions we use both techniques of a double complex and the quaternionic approach. Interesting analogies between instanton, anti-instanton solutions of discrete and continual self-dual, anti-self-dual equations are also discussed.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.12 n.3 20102010-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300007en10.4067/S0719-06462010000300007
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Yang-Mills equations self-dual and anti-self-dual equations instantons and anti-instantons difference equations
spellingShingle	Yang-Mills equations self-dual and anti-self-dual equations instantons and anti-instantons difference equations SUSHCH,VOLODYMYR Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex
description	We study a discrete model of the SU(2) Yang-Mills equations on a combinatorial analog of R4. Self-dual and anti-self-dual solutions of discrete Yang-Mills equations are constructed. To obtain these solutions we use both techniques of a double complex and the quaternionic approach. Interesting analogies between instanton, anti-instanton solutions of discrete and continual self-dual, anti-self-dual equations are also discussed.
author	SUSHCH,VOLODYMYR
author_facet	SUSHCH,VOLODYMYR
author_sort	SUSHCH,VOLODYMYR
title	Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex
title_short	Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex
title_full	Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex
title_fullStr	Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex
title_full_unstemmed	Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex
title_sort	self-dual and anti-self-dual solutions of discrete yang-mills equations on a double complex
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2010
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300007
work_keys_str_mv	AT sushchvolodymyr selfdualandantiselfdualsolutionsofdiscreteyangmillsequationsonadoublecomplex
_version_	1714206768893001728

Self-Dual and Anti-Self-Dual Solutions of Discrete Yang-Mills Equations on a Double Complex

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