Details
| Original language | English |
|---|---|
| Pages (from-to) | 854-859 |
| Number of pages | 6 |
| Journal | Physics of particles and nuclei |
| Volume | 49 |
| Issue number | 5 |
| Publication status | Published - Sept 2018 |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physics of particles and nuclei, Vol. 49, No. 5, 09.2018, p. 854-859.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Pure Yang–Mills Solutions on dS4
AU - Ivanova, T. A.
AU - Lechtenfeld, O.
AU - Popov, A. D.
N1 - Funding Information: ACKNOWLEDGMENTS This work was partially supported by the Deutsche Forschungsgemeinschaft under grant LE 838/13 and by the Heisenberg–Landau program. It is based upon work from COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology).
PY - 2018/9
Y1 - 2018/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85054699194&partnerID=8YFLogxK
U2 - 10.1134/S1063779618050210
DO - 10.1134/S1063779618050210
M3 - Article
AN - SCOPUS:85054699194
VL - 49
SP - 854
EP - 859
JO - Physics of particles and nuclei
JF - Physics of particles and nuclei
SN - 1063-7796
IS - 5
ER -