G/G models as the strong coupling limit of topologically massive gauge theory

Details G/G models as the strong coupling limit of topologically massive gauge theory G/G models as the strong coupling limit of topologically massive gauge theory

1996-09-30

arxiv.org/abs/hep-th/9609228v1

Nucl.Phys. B489 (1997) 360-386

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 23 pages, no figures

Scientific paper

10.1016/S0550-3213(97)00050-3

We show that the problem of computing the vacuum expectation values of gauge invariant operators in the strong coupling limit of topologically massive gauge theory is equivalent to the problem of computing similar operators in the $G_k/G$ model where $k$ is the integer coefficient of the Chern-Simons term. The $G_k/G$ model is a topological field theory and many correlators can be computed analytically. We also show that the effective action for the Polyakov loop operator and static modes of the gauge fields of the strongly coupled theory at finite temperature is a perturbed, non-topological $G_k/G$ model. In this model, we compute the one loop effective potential for the Polyakov loop operators and explicitly construct the low-lying excited states. In the strong coupling limit the theory is in a deconfined phase.

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