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Ivanova, T.A.; Lechtenfeld, O.; Popov, A.D.: Pure Yang–Mills solutions on dS 4. In: Proceedings of Science 318 (2017), 204. DOI: DOI:

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Sum total of downloads: 35

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.
License of this version: CC BY-NC-ND 4.0 Unported
Document Type: article
Publishing status: publishedVersion
Issue Date: 2017
Appears in Collections:Fakultät für Mathematik und Physik

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pos. country downloads
total perc.
1 image of flag of Germany Germany 25 71.43%
2 image of flag of Brazil Brazil 4 11.43%
3 image of flag of Italy Italy 2 5.71%
4 image of flag of Czech Republic Czech Republic 2 5.71%
5 image of flag of China China 1 2.86%
6 image of flag of Austria Austria 1 2.86%

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