dc.identifier.uri |
http://dx.doi.org/10.15488/2516 |
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dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/2542 |
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dc.contributor.author |
Ivanova, T.A.
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dc.contributor.author |
Lechtenfeld, Olaf
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dc.contributor.author |
Popov, Alexander D.
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dc.date.accessioned |
2017-11-28T15:30:10Z |
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dc.date.available |
2017-11-28T15:30:10Z |
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dc.date.issued |
2017 |
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dc.identifier.citation |
Ivanova, T.A.; Lechtenfeld, O.; Popov, A.D.: Solutions to Yang-Mills Equations on Four-Dimensional de Sitter Space. In: Physical Review Letters 119 (2017), Nr. 6, 61601. DOI: https://doi.org/10.1103/PhysRevLett.119.061601 |
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dc.description.abstract |
We consider pure SU(2) Yang-Mills theory on four-dimensional de Sitter space dS4 and construct a smooth and spatially homogeneous magnetic solution to the Yang-Mills equations. Slicing dS4 as R×S3, via an SU(2)-equivariant ansatz, we reduce the Yang-Mills equations to ordinary matrix differential equations and further to Newtonian dynamics in a double-well potential. Its local maximum yields a Yang-Mills solution whose color-magnetic field at time τ∈R is given by ˜Ba=−12Ia/(R2cosh2τ), where Ia for a=1, 2, 3 are the SU(2) generators and R is the de Sitter radius. At any moment, this spatially homogeneous configuration has finite energy, but its action is also finite and of the value −12j(j+1)(2j+1)π3 in a spin-j representation. Similarly, the double-well bounce produces a family of homogeneous finite-action electric-magnetic solutions with the same energy. There is a continuum of other solutions whose energy and action extend down to zero. © 2017 American Physical Society. |
eng |
dc.language.iso |
eng |
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dc.publisher |
College Park, MD : American Physical Society |
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dc.relation.ispartofseries |
Physical Review Letters 119 (2017), Nr. 6 |
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dc.rights |
Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. |
|
dc.subject |
Differential equations |
eng |
dc.subject |
Magnetism |
eng |
dc.subject |
Double-well potential |
eng |
dc.subject |
Electric magnetic |
eng |
dc.subject |
Magnetic solutions |
eng |
dc.subject |
Newtonian dynamics |
eng |
dc.subject |
Ordinary matrix |
eng |
dc.subject |
Spatially homogeneous |
eng |
dc.subject |
SU(2) yang-mills theory |
eng |
dc.subject |
Yang-Mills equation |
eng |
dc.subject |
Ordinary differential equations |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
Solutions to Yang-Mills Equations on Four-Dimensional de Sitter Space |
eng |
dc.type |
Article |
|
dc.type |
Text |
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dc.relation.issn |
00319007 |
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dc.relation.doi |
https://doi.org/10.1103/PhysRevLett.119.061601 |
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dc.bibliographicCitation.issue |
6 |
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dc.bibliographicCitation.volume |
119 |
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dc.bibliographicCitation.firstPage |
61601 |
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dc.description.version |
publishedVersion |
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tib.accessRights |
frei zug�nglich |
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