  Polyakov has argued that the QCD string should have long range order. We show
that a phase transition does exist in a generalization of string theory
characterized by the addition of the curvature of the world sheet (rigidity)
and the long range Kalb-Ramond interactions to the Nambu-Goto action. Although
rigid strings coupled to long range interactions exhibit the typical
pathologies of higher derivative theories at the classical level, we comment
based on previous results in rigid paths coupled to long range Coulomb
interactions that both phases of the quantum theory are free of ghosts and
tachyons.
