Minkowski space Yang-Mills fields from solutions of equations in the three-dimensional Euclidean space

Kyriakopoulos, E

dc.contributor.author	Kyriakopoulos, E	en
dc.date.accessioned	2014-03-01T01:38:14Z
dc.date.available	2014-03-01T01:38:14Z
dc.date.issued	1980	en
dc.identifier.issn	00222488	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21963
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-36749106267&partnerID=40&md5=313b168293c5919e0cb4b90c142760eb	en
dc.title	Minkowski space Yang-Mills fields from solutions of equations in the three-dimensional Euclidean space	en
heal.type	journalArticle	en
heal.publicationDate	1980	en
heal.abstract	Equations in the three-dimensional Euclidean space are derived by combining the Yang-Mills field equations with the conditions which are imposed on a Yang-Mills field in Bernreuther's method of constructing Yang-Mills fields in Minkowski space from Yang-Mills fields in Euclidean space. By a proper ansatz for the Yang-Mills fields these equations are reduced to a single differential equation. The differential equation is identical with merons' equation in Euclidean space if we consider solutions of the latter equation which are functions of the ratio t/ρ, where t is the Euclidean time and ρ is the three-dimensional radius. One such solution is the single meron solution in Euclidean space. Starting from this and applying the method we get the de Alfaro-Fubini-Furlan solution in Minkowski space. Then, a more general ansatz is considered, which leads to a system of three nonlinear differential equations. © 1981 American Institute of Physics.	en
heal.journalName	Journal of Mathematical Physics	en
dc.identifier.volume	22	en
dc.identifier.issue	10	en
dc.identifier.spage	2279	en
dc.identifier.epage	2282	en