  We study a 3-dimensional SU(2) gauge theory with 4 Higgs fields which
transform under the adjoint representation of the gauge group, that has been
recently proposed by Sachdev et al. to explain the physics of cuprate
superconductors near optimal doping. The symmetric confining phase of the
theory corresponds to the usual Fermi-liquid phase while the broken (Higgs)
phase is associated with the interesting pseudogap phase of cuprates. We employ
the Hybrid Monte-Carlo algorithm to study the phase diagram of the theory. We
find the existence of a variety of broken phases in qualitative accordance with
earlier mean-field predictions and discuss their role in cuprates. In addition,
we investigate the behavior of Polyakov loop to probe the
confinement/deconfinement phase transition, and find that the Higgs phase hosts
a stable deconfining phase consistent with previous studies.
