Abstract :
Recently we have shown that a phase transition occurs in the leading approximation of the large-N limit in rigid strings coupled to long range Kalb-Ramond interactions. The disordered phase is essentially the Nambu-Goto-Polyakov string theory while the ordered phase is a new theory. In this second letter (Paper II) we study the first sub-leading quantum corrections we started in Paper I [Phys. Lett. B (1995), previous article]. We derive the renormalized mass gap equation and obtain the renormalized critical line of the interacting theory. Our main and final result is that the phase transition does indeed survive quantum fluctuations.