  To investigate the non-perturbative, electric sector of a deconfined gauge
theory at nonzero temperature, we consider a SU(2) matrix model. We compute
beta-functions to one loop order for the simplest extension of the O(4)
nonlinear sigma model, which involves three coupling constants. Computing in
the ultraviolet limit in 2 + epsilon dimensions, we find that at least one
coupling is not asymptotically free.
