Some classical solutions of Yang-Mills equations

In this thesis some solutions to classical Euclidean Yang-Mills theory are considered and presented with emphasis on self-dual SU(2) solutions. Chapter one is a brief introduction to the subject. In chapter two the possibility of solution via inversion of the dynamic equation to obtain in terms or F...

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Main Author:	Yates, Russell G.
Published:	Durham University 1978
Subjects:	530.15
Online Access:	http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.478266

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spelling	ndltd-bl.uk-oai-ethos.bl.uk-4782662015-06-03T03:19:12ZSome classical solutions of Yang-Mills equationsYates, Russell G.1978In this thesis some solutions to classical Euclidean Yang-Mills theory are considered and presented with emphasis on self-dual SU(2) solutions. Chapter one is a brief introduction to the subject. In chapter two the possibility of solution via inversion of the dynamic equation to obtain in terms or Fuv and then imposing a self-consistency requirement is considered. Chapter three deals with the extension of Witten's method of solution through cylindrically symmetric ansatze to self- dual SU(3) theories. In Chapter four the invariances and Backlund-type transformations inherent in a self-dual SU(n) theory are investigated and these methods are used in Chapter five to present an analytic method for constructing all self-dual SU(2) solutions.530.15Durham Universityhttp://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.478266http://etheses.dur.ac.uk/8414/Electronic Thesis or Dissertation
collection	NDLTD
sources	NDLTD
topic	530.15
spellingShingle	530.15 Yates, Russell G. Some classical solutions of Yang-Mills equations
description	In this thesis some solutions to classical Euclidean Yang-Mills theory are considered and presented with emphasis on self-dual SU(2) solutions. Chapter one is a brief introduction to the subject. In chapter two the possibility of solution via inversion of the dynamic equation to obtain in terms or Fuv and then imposing a self-consistency requirement is considered. Chapter three deals with the extension of Witten's method of solution through cylindrically symmetric ansatze to self- dual SU(3) theories. In Chapter four the invariances and Backlund-type transformations inherent in a self-dual SU(n) theory are investigated and these methods are used in Chapter five to present an analytic method for constructing all self-dual SU(2) solutions.
author	Yates, Russell G.
author_facet	Yates, Russell G.
author_sort	Yates, Russell G.
title	Some classical solutions of Yang-Mills equations
title_short	Some classical solutions of Yang-Mills equations
title_full	Some classical solutions of Yang-Mills equations
title_fullStr	Some classical solutions of Yang-Mills equations
title_full_unstemmed	Some classical solutions of Yang-Mills equations
title_sort	some classical solutions of yang-mills equations
publisher	Durham University
publishDate	1978
url	http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.478266
work_keys_str_mv	AT yatesrussellg someclassicalsolutionsofyangmillsequations
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Some classical solutions of Yang-Mills equations

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