Open rigid string with the Gauss-Bonnet term in action

TL;DR

This paper investigates how the Gaussian curvature term in a modified rigid string action affects the interquark potential, revealing significant topological effects at hadronic distances through analytical calculations.

Contribution

It introduces a modified string action with a Gauss-Bonnet term and analyzes its impact on the interquark potential, providing new insights into topological effects in string models.

Findings

The Gauss-Bonnet term significantly alters the interquark potential at small distances.

Derived eigenfrequency spectrum for string oscillations with the topological term.

Calculated the interquark potential in one-loop approximation showing topological influence.

Abstract

The effect of the Gaussian curvature in the rigid string action on the interquark potential is investigated. The linearized equations of motion and boundary conditions, following from the modified string action, are obtained. The equation, defining the eigenfrequency spectrum of the string oscillations is derived. On this basis, the interquark potential, generated by the string is calculated in one-loop approximation. A substantial influence of the topological term in the string action on the interquark potential at the distances of hadronic size order or less is revealed.