dc.identifier.uri |
http://dx.doi.org/10.15488/5355 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/5402 |
|
dc.contributor.author |
Ivanova, Tatiana A.
|
|
dc.contributor.author |
Lechtenfeld, Olaf
|
|
dc.contributor.author |
Popov, Alexander D.
|
|
dc.date.accessioned |
2019-09-03T12:13:08Z |
|
dc.date.available |
2019-09-03T12:13:08Z |
|
dc.date.issued |
2017 |
|
dc.identifier.citation |
Ivanova, T.A.; Lechtenfeld, O.; Popov, A.D.: Pure Yang–Mills solutions on dS 4. In: Proceedings of Science 318 (2017), 204. DOI: https://doi.org/10.22323/1.318.0204 |
|
dc.description.abstract |
We consider pure SU(2) Yang–Mills theory on four-dimensional de Sitter space dS 4 and construct smooth and spatially homogeneous classical Yang–Mills fields. Slicing dS 4 as ℝ×S 3 , via an SU(2)-equivariant ansatz we reduce the Yang–Mills equations to ordinary matrix differential equations and further to Newtonian dynamics in a particular three-dimensional potential. Its classical trajectories yield spatially homogeneous Yang–Mills solutions in a very simple explicit form, depending only on de Sitter time with an exponential decay in the past and future. These configurations have not only finite energy, but their action is also finite and bounded from below. We present explicit coordinate representations of the simplest examples (for the fundamental SU(2) representation). Instantons (Yang–Mills solutions on the Wick-rotated S 4 ) and solutions on AdS 4 are also briefly discussed. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Trieste : Sissa Medialab Srl |
|
dc.relation.ispartofseries |
Proceedings of Science 318 (2017) |
|
dc.rights |
CC BY-NC-ND 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by-nc-nd/4.0/ |
|
dc.subject |
Elementary particles |
eng |
dc.subject |
Classical trajectories |
eng |
dc.subject |
Coordinate representations |
eng |
dc.subject |
Explicit form |
eng |
dc.subject |
Exponential decays |
eng |
dc.subject |
Finite energy |
eng |
dc.subject |
Newtonian dynamics |
eng |
dc.subject |
Ordinary matrix |
eng |
dc.subject |
Spatially homogeneous |
eng |
dc.subject |
Ordinary differential equations |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
Pure Yang–Mills solutions on dS 4 |
|
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.issn |
1824-8039 |
|
dc.relation.doi |
10.22323/1.318.0204 |
|
dc.bibliographicCitation.volume |
318 |
|
dc.bibliographicCitation.firstPage |
204 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|