Saddle point analysis of pomeron singularities in Polyakov's string theory

Abstract

A saddle-point analysis of Polyakov's string theory is carried out where the Liouville action is defined on surfaces with two disjoint boundaries, (the cylinder topology). This topology is appropriate for probing the closed string excitations. In a saddle point approach, a family of pomeron singularities having a Regge slope half of the ordinary particle trajectories is identified. However, a difficulty with the factorization property arises.