Weyl degree of freedom in the Nambu-Goto string through field transformation

Abstract

We show how Weyl degrees of freedom can be introduced in the Nambu-Goto string in the path-integral formulation using the reparametrization invariant measure. We first identify Weyl degrees in conformal gauge using BFV formulation. Further we change the Nambu-Goto string action to the Polyakov action. The generating functional in light-cone gauge is then obtained from the generating functional corresponding to the Polyakov action in conformal gauge by using suitably constructed finite-field–dependent BRST transformation.