Download statistics - Document (COUNTER):

Ivanova, T.A.; Lechtenfeld, O.; Popov, A.D.: Pure Yang–Mills solutions on dS 4. In: Proceedings of Science 318 (2017), 204. DOI: DOI: https://doi.org/10.22323/1.318.0204

Repository version

To cite the version in the repository, please use this identifier: https://doi.org/10.15488/5355

Selected time period:

year: 
month: 

Sum total of downloads: 0




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

distribution of downloads over the selected time period:

downloads by country:

pos. country downloads
total perc.

Further download figures and rankings:


Hinweis

Zur Erhebung der Downloadstatistiken kommen entsprechend dem „COUNTER Code of Practice for e-Resources“ international anerkannte Regeln und Normen zur Anwendung. COUNTER ist eine internationale Non-Profit-Organisation, in der Bibliotheksverbände, Datenbankanbieter und Verlage gemeinsam an Standards zur Erhebung, Speicherung und Verarbeitung von Nutzungsdaten elektronischer Ressourcen arbeiten, welche so Objektivität und Vergleichbarkeit gewährleisten sollen. Es werden hierbei ausschließlich Zugriffe auf die entsprechenden Volltexte ausgewertet, keine Aufrufe der Website an sich.

Search the repository


Browse