Universality Class of Confining Strings

TL;DR

This paper demonstrates that a model of confining strings with a non-local world-sheet action simplifies to c=1 models in the large-D limit, describing smooth, long-range ordered strings consistent with QCD string properties.

Contribution

It shows that various truncations of a non-local string action converge to c=1 models with properties matching QCD strings in the large-D approximation.

Findings

Infinite truncations lead to c=1 models

Infrared limit describes smooth strings with Hausdorff dimension 2

Strings exhibit long-range orientational order

Abstract

A recently proposed model of confining strings has a non-local world-sheet action induced by a space-time Kalb-Ramond tensor field. Here we show that, in the large-D approximation, an infinite set of ghost- and tachyon-free truncations of the derivative expansion of this action all lead to c=1 models. Their infrared limit describes smooth strings with world-sheets of Hausdorff dimension D_H=2 and long-range orientational order, as expected for QCD strings.