Four-dimensional $\Sigma$ Models and Geometry of {Yang-Mills} Fields

Kafiev, Yu.N.

doi:10.1016/0550-3213(81)90502-2

Four-dimensional $\Sigma$ Models and Geometry of {Yang-Mills} Fields

Yu.N. Kafiev
(
- Sobolev IM, Novosibirsk
)

Mar, 1980

20 pages

Published in:

Nucl.Phys.B 178 (1981) 177-196

Published: 1981

DOI:

10.1016/0550-3213(81)90502-2

Report number:

TF-113

View in:

AMS MathSciNet

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Abstract: (Elsevier)

It is shown that SU(2) Yang-Mills theory can be expressed as an HP 1 = S 4 σ-model, viz., the O(5) generalization of the Skyrme model. Using this equivalence, its reduction to the constrained system on S 4 is constructed and general multi-instanton solutions of the SU(2) Yang-Mills field in curved space with the metric found by Gürsey et al., are obtained.

FIELD THEORY: EUCLIDEAN
FIELD THEORY: FOUR-DIMENSIONAL
FIELD THEORETICAL MODEL: SIGMA
GAUGE FIELD THEORY: SU(2)
FIELD THEORY: O(5)
BOUNDARY CONDITION
FIELD EQUATIONS: NONLINEAR
FIELD EQUATIONS: INSTANTON
FIELD EQUATIONS: MERON
FIELD THEORY: SPACE-TIME

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