  We investigate the phase structure of massless three-flavor QCD by extending
the Nambu-Jona- Lasinio model to include the effects of confinement and the
axial anomaly. We study the interplay between the chiral and diquark
condensates induced by the axial anomaly, as well as their relationship with
the Polyakov loop, which parameterizes confinement. By minimizing the
thermodynamic potential we construct the QCD phase diagram and investigate the
possibility of realizing a recently discovered low temperature critical point
and an associated BEC-BCS crossover. We also perform a Ginzburg-Landau
expansion of the thermodynamic potential, comparing our results to a prior
analysis based purely on symmetry considerations, in order to assess the
lowest-order effects of the condensate-confinement couplings.
