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dc.identifier.uri Ivanova, Tatiana A. Lechtenfeld, Olaf Popov, Alexander D. 2019-09-03T12:13:08Z 2019-09-03T12:13:08Z 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: DOI:
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.ispartof 2017 Corfu Summer Institute "Schools and Workshops on Elementary Particle Physics and Gravity", CORFU 2017, September 2-28, 2017, Corfu, Greece
dc.relation.ispartofseries Proceedings of Science 318 (2017)
dc.rights CC BY-NC-ND 4.0 Unported
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 DOI:
dc.bibliographicCitation.volume 318
dc.bibliographicCitation.firstPage 204
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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