  In this work, we show the dependence of bulk viscosity on Polyakov loop in
3+1 dimensional topologically massive model (TMM). This model contains equally
massive non-Abelian gauge fields without spontaneous symmetry breaking. In
earlier works, the bulk viscosity was found from the trace anomaly in massless
$\phi^4$ model and Yang-Mills (YM) theory and its dependence on the quantum
corrections was established. In TMM, the trace anomaly is absent due to the
presence of kinetic term of a two-form field $B$ in the action. This model also
provides the dependence of bulk viscosity on the mass of the gauge bosons. The
mass of the gauge bosons in TMM acts as magnetic mass in the perturbative
thermal field theory. This magnetic mass is gauge independent unlike what is
found in massless YM theory. The ratio of bulk viscosity and entropy density vs
temperature is plotted which shows the required behaviour near critical point.
We also observe that the strong coupling constant has the same behaviour at
high energy limit (i.e. asymptotic freedom) as that of massless YM theory at
zero temperature.
