We show that the problem of computing the vacuum expectation values of
gauge-invariant operators in the strong coupling limit of topological
ly massive gauge theory is equivalent to the problem of computing simi
lar operators in the G(k)/G model where k is the integer coefficient o
f the Chern-Simons term. The G(k)/G model is a topological field theor
y 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 temperatu
re is a perturbed, non-topological G(k)/G model. In this model, we com
pute the one-loop effective potential for the Polyakov loop operators
and explicitly construct the low-lying excited states, In the strong c
oupling limit the theory is in a deconfined phase. (C) 1997 Elsevier S
cience B.V.