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 |
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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 |
|