Details
| Original language | English |
|---|---|
| Article number | 204 |
| Journal | Proceedings of Science |
| Volume | 318 |
| Publication status | Published - 2017 |
| Event | 2017 Corfu Summer Institute "Schools and Workshops on Elementary Particle Physics and Gravity", CORFU 2017 - Corfu, Greece Duration: 2 Sept 2017 → 28 Sept 2017 |
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.
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In: Proceedings of Science, Vol. 318, 204, 2017.
Research output: Contribution to journal › Conference article › Research › peer review
}
TY - JOUR
T1 - Pure Yang–Mills solutions on dS4
AU - Ivanova, Tatiana A.
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
N1 - Funding Information: 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). Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons.
PY - 2017
Y1 - 2017
N2 - 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 - 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=85063584637&partnerID=8YFLogxK
M3 - Conference article
AN - SCOPUS:85063584637
VL - 318
JO - Proceedings of Science
JF - Proceedings of Science
M1 - 204
T2 - 2017 Corfu Summer Institute "Schools and Workshops on Elementary Particle Physics and Gravity", CORFU 2017
Y2 - 2 September 2017 through 28 September 2017
ER -