Abelian gauge theories on homogeneous spaces. (English) Zbl 0773.53018
Summary: An algebraic technique of separation of gauge modes in Abelian gauge theories on homogeneous spaces is proposed. An effective potential for the Maxwell-Chern-Simons theory on \(S^ 3\) is calculated. A generalization of the Chern-Simons action is suggested and analyzed with the example of \(SU(3)/U(1)\times U(1)\).
MSC:
| 53C30 | Differential geometry of homogeneous manifolds |
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 43A85 | Harmonic analysis on homogeneous spaces |
| 14M17 | Homogeneous spaces and generalizations |
Keywords:
separation of gauge modes; Abelian gauge theories; homogeneous spaces; Maxwell-Chern-Simons theory; Chern-Simons actionReferences:
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