Finite-action solutions of Yang-Mills equations on de Sitter dS4 and anti-de Sitter AdS4 spaces

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dc.identifier.uri http://dx.doi.org/10.15488/2620
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/2646
dc.contributor.author Ivanova, Tatiana A.
dc.contributor.author Lechtenfeld, Olaf
dc.contributor.author Popov, Alexander D.
dc.date.accessioned 2018-01-19T10:57:49Z
dc.date.available 2018-01-19T10:57:49Z
dc.date.issued 2017
dc.identifier.citation Ivanova, T.A.; Lechtenfeld, O.; Popov, A.D.: Finite-action solutions of Yang-Mills equations on de Sitter dS4 and anti-de Sitter AdS4 spaces. In: Journal of High Energy Physics 2017 (2017), Nr. 11, 17. DOI: https://doi.org/10.1007/JHEP11(2017)017
dc.description.abstract We consider pure SU(2) Yang-Mills theory on four-dimensional de Sitter dS4 and anti-de Sitter AdS4 spaces and construct various solutions to the Yang-Mills equations. On de Sitter space we reduce the Yang-Mills equations via an SU(2)-equivariant ansatz to Newtonian mechanics of a particle moving in R3 under the influence of a quartic potential. Then we describe magnetic and electric-magnetic solutions, both Abelian and non-Abelian, all having finite energy and finite action. A similar reduction on anti-de Sitter space also yields Yang-Mills solutions with finite energy and action. We propose a lower bound for the action on both backgrounds. Employing another metric on AdS4, the SU(2) Yang-Mills equations are reduced to an analytic continuation of the above particle mechanics from R3 to R2,1. We discuss analytical solutions to these equations, which produce infinite-action configurations. After a Euclidean continuation of dS4 and AdS4 we also present self-dual (instanton-type) Yang-Mills solutions on these backgrounds. eng
dc.language.iso eng
dc.publisher Heidelberg : Springer Verlag
dc.relation.ispartofseries Journal of High Energy Physics 2017 (2017), Nr. 11
dc.rights CC BY 4.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/4.0/
dc.subject Classical Theories of Gravity eng
dc.subject Confinement eng
dc.subject Differential and Algebraic Geometry eng
dc.subject Solitons Monopoles and Instantons eng
dc.subject.ddc 530 | Physik ger
dc.title Finite-action solutions of Yang-Mills equations on de Sitter dS4 and anti-de Sitter AdS4 spaces
dc.type article
dc.type Text
dc.relation.issn 11266708
dc.relation.doi https://doi.org/10.1007/JHEP11(2017)017
dc.bibliographicCitation.issue 11
dc.bibliographicCitation.volume 2017
dc.bibliographicCitation.firstPage 17
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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