Renormalizability and Quantum Stability of the Phase Transition in Rigid String Coupled to Kalb-Ramond Fields II

TL;DR

This paper investigates the quantum stability of a phase transition in rigid strings coupled to Kalb-Ramond fields, demonstrating that the transition persists even after considering quantum fluctuations.

Contribution

It derives the renormalized mass gap equation and critical line, showing the phase transition's robustness against quantum corrections in the studied model.

Findings

The phase transition survives quantum fluctuations.

Renormalized mass gap equation is established.

Critical line of the interacting theory is obtained.

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 part II letter we study the first sub-leading quantum corrections we started in I. 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.