Details
| Original language | English |
|---|---|
| Article number | 89 |
| Journal | Journal of High Energy Physics |
| Volume | 2021 |
| Issue number | 9 |
| Publication status | Published - 16 Sept 2021 |
Abstract
We consider Yang-Mills theory with a compact structure group G on four-dimensional de Sitter space dS4. Using conformal invariance, we transform the theory from dS4 to the finite cylinder I × S3, where I = (−π/2, π/2) and S3 is the round three-sphere. By considering only bundles P → I × S3 which are framed over the temporal boundary ∂I × S3, we introduce additional degrees of freedom which restrict gauge transformations to be identity on ∂I × S3. We study the consequences of the framing on the variation of the action, and on the Yang-Mills equations. This allows for an infinite-dimensional moduli space of Yang-Mills vacua on dS4. We show that, in the low-energy limit, when momentum along I is much smaller than along S3, the Yang-Mills dynamics in dS4 is approximated by geodesic motion in the infinite-dimensional space Mvac of gauge-inequivalent Yang-Mills vacua on S3. Since Mvac ≅ C∞(S3, G)/G is a group manifold, the dynamics is expected to be integrable.
Keywords
- Effective Field Theories, Gauge Symmetry, Sigma Models
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Journal of High Energy Physics, Vol. 2021, No. 9, 89, 16.09.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A low-energy limit of Yang-Mills theory on de Sitter space
AU - Cork, Josh
AU - Kutluk, Emine Şeyma
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
PY - 2021/9/16
Y1 - 2021/9/16
N2 - We consider Yang-Mills theory with a compact structure group G on four-dimensional de Sitter space dS4. Using conformal invariance, we transform the theory from dS4 to the finite cylinder I × S3, where I = (−π/2, π/2) and S3 is the round three-sphere. By considering only bundles P → I × S3 which are framed over the temporal boundary ∂I × S3, we introduce additional degrees of freedom which restrict gauge transformations to be identity on ∂I × S3. We study the consequences of the framing on the variation of the action, and on the Yang-Mills equations. This allows for an infinite-dimensional moduli space of Yang-Mills vacua on dS4. We show that, in the low-energy limit, when momentum along I is much smaller than along S3, the Yang-Mills dynamics in dS4 is approximated by geodesic motion in the infinite-dimensional space Mvac of gauge-inequivalent Yang-Mills vacua on S3. Since Mvac ≅ C∞(S3, G)/G is a group manifold, the dynamics is expected to be integrable.
AB - We consider Yang-Mills theory with a compact structure group G on four-dimensional de Sitter space dS4. Using conformal invariance, we transform the theory from dS4 to the finite cylinder I × S3, where I = (−π/2, π/2) and S3 is the round three-sphere. By considering only bundles P → I × S3 which are framed over the temporal boundary ∂I × S3, we introduce additional degrees of freedom which restrict gauge transformations to be identity on ∂I × S3. We study the consequences of the framing on the variation of the action, and on the Yang-Mills equations. This allows for an infinite-dimensional moduli space of Yang-Mills vacua on dS4. We show that, in the low-energy limit, when momentum along I is much smaller than along S3, the Yang-Mills dynamics in dS4 is approximated by geodesic motion in the infinite-dimensional space Mvac of gauge-inequivalent Yang-Mills vacua on S3. Since Mvac ≅ C∞(S3, G)/G is a group manifold, the dynamics is expected to be integrable.
KW - Effective Field Theories
KW - Gauge Symmetry
KW - Sigma Models
UR - http://www.scopus.com/inward/record.url?scp=85115157615&partnerID=8YFLogxK
U2 - 10.1007/JHEP09(2021)089
DO - 10.1007/JHEP09(2021)089
M3 - Article
AN - SCOPUS:85115157615
VL - 2021
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1029-8479
IS - 9
M1 - 89
ER -