On the rigid string contribution to the interquark potential

TL;DR

This paper investigates the effects of a rigid string model, incorporating extrinsic curvature, on the interquark potential within confining gauge theories, highlighting non-trivial properties and analytical corrections.

Contribution

It provides an analytical evaluation of the corrections to the interquark potential due to extrinsic curvature terms in the rigid string model, extending understanding of flux tube dynamics.

Findings

Analytical expressions for potential corrections derived.

Identification of non-trivial properties of rigid strings.

Insights into flux tube behavior in confining theories.

Abstract

Owing to Lorentz invariance, the leading terms in the effective action describing the low-energy dynamics of flux tubes in a confining gauge theory are universal. Besides the terms corresponding to the Nambu-Goto action, Lorentz invariance also allows terms describing a "rigid string", proposed long ago by Kleinert and Polyakov as a model for confinement in a dual superconductor scenario. In this contribution we discuss some of the non-trivial properties of this type of string and evaluate analytically the corrections to the interquark potential induced by extrinsic curvature terms appearing in the rigid string action.