Kosterlitz-Thouless transition on the worldsheet of the QCD string

Abstract

We investigate the properties of the QCD string in the Euclidean SU(N) pure gauge theory when the space-time dimensions transverse to it are periodic. We propose a generalisation of the Lüscher-Weisz effective string action for the flux-tube energy levels at finite L¡ . As the size of one transverse dimension is varied, we predict a Kosterlitz-Thouless transition of the worldsheet field theory at σ