Gauge field configurations in curved spacetimes. II

Journal Article · Mon Oct 15 04:00:00 EDT 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.20.1898· OSTI ID:5783066

Boutaleb-Joutei, H; Chakrabarti, A; Comtet, A

We continue the study of gauge field configurations in curved spaces, using the formalism and results of the preceding paper. A class of static, finite-action, self-dual solutions of SU(2) gauge fields on a Euclidean section of de Sitter space is presented. The action depends on a continuous parameter. The spin-connection solution is obtained as a particular case and a certain passage to the limiting case of a flat space is shown to reproduce the Euclidean Prasad-Sommerfield solution. The significance and possible interest of such solutions are discussed. The results are then generalized to a non-Einstein but conformally flat space, including de Sitter space as an Einstein limit. Next, Baecklund-type transformations are constructed starting from self-duality constraints for such curved spaces. These transformations are applied to the above-mentioned solutions. The last two sections contain remarks on solutions with a background Robinson-Bertotti metric and on static, axially symmetric solutions, respectively.

• Research Organization: Centre de Physique Theorique de l'Ecole Polytechnique, 91128 Palaiseau Cedex, France
• OSTI ID: 5783066
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 20:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COLOR MODEL
COMPOSITE MODELS
DE SITTER GROUP
DUALITY
EUCLIDEAN SPACE
FORM FACTORS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
METRICS
PARTICLE MODELS
PARTICLE PROPERTIES
QUARK MODEL
RIEMANN SPACE
SPACE
SPACE-TIME
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS