Pure Yang–Mills Solutions on dS₄

authored by

T. A. Ivanova, O. Lechtenfeld, A. D. Popov

Abstract

Abstract: We consider pure SU(2) Yang–Mills theory on four-dimensional de Sitter space dS₄ and construct smooth and spatially homogeneous classical Yang–Mills fields. 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 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 S⁴ and solutions on AdS₄ are also briefly discussed.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

Joint Institute for Nuclear Research (JINR)

Type

Artikel

Journal

Physics of particles and nuclei

Volume

49

Pages

854-859

No. of pages

6

ISSN

1063-7796

Publication date

09.2018

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Electronic version(s)

https://doi.org/10.1134/S1063779618050210 (Access: Geschlossen)
https://doi.org/10.15488/5355 (Access: Offen)