Details
| Original language | English |
|---|---|
| Article number | 085008 |
| Journal | Physical Review D |
| Volume | 98 |
| Issue number | 8 |
| Early online date | 12 Oct 2018 |
| Publication status | Published - 15 Oct 2018 |
Abstract
For gauge groups SO(n+1), SU(m+1), and Sp(ℓ+1), we construct equivariant Yang-Mills solutions on de Sitter space in n+1, 2(m+1), and 4(ℓ+1) spacetime dimensions. The latter is conformally mapped to a finite cylinder over a coset space realizing an appropriate unit sphere. The equivariance condition reduces the Yang-Mills system to an analog Newtonian particle in one or two dimensions subject to a time-dependent friction and a particular potential. We analyze some properties of the solutions such as their action and energy and display all analytic ones. Beyond dS4, all such configurations have finite energy but infinite action.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Physical Review D, Vol. 98, No. 8, 085008, 15.10.2018.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Yang-Mills solutions on de Sitter space of any dimension
AU - Lechtenfeld, Olaf
AU - Ünal, Gönül
N1 - Funding Information: O. L. thanks Lutz Habermann for help with the Appendix. G. Ü. is grateful for partial funding from Leibniz Universität Hannover, where the project was initiated. This work was partially supported by the Deutsche Forschungsgemeinschaft under Grant No. LE 838/13. This article is based upon work from COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology).
PY - 2018/10/15
Y1 - 2018/10/15
N2 - For gauge groups SO(n+1), SU(m+1), and Sp(ℓ+1), we construct equivariant Yang-Mills solutions on de Sitter space in n+1, 2(m+1), and 4(ℓ+1) spacetime dimensions. The latter is conformally mapped to a finite cylinder over a coset space realizing an appropriate unit sphere. The equivariance condition reduces the Yang-Mills system to an analog Newtonian particle in one or two dimensions subject to a time-dependent friction and a particular potential. We analyze some properties of the solutions such as their action and energy and display all analytic ones. Beyond dS4, all such configurations have finite energy but infinite action.
AB - For gauge groups SO(n+1), SU(m+1), and Sp(ℓ+1), we construct equivariant Yang-Mills solutions on de Sitter space in n+1, 2(m+1), and 4(ℓ+1) spacetime dimensions. The latter is conformally mapped to a finite cylinder over a coset space realizing an appropriate unit sphere. The equivariance condition reduces the Yang-Mills system to an analog Newtonian particle in one or two dimensions subject to a time-dependent friction and a particular potential. We analyze some properties of the solutions such as their action and energy and display all analytic ones. Beyond dS4, all such configurations have finite energy but infinite action.
UR - http://www.scopus.com/inward/record.url?scp=85056162610&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1807.03914
DO - 10.48550/arXiv.1807.03914
M3 - Article
AN - SCOPUS:85056162610
VL - 98
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 8
M1 - 085008
ER -