OPEN RIGID STRING WITH GAUSS–BONNET TERM IN THE ACTION

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 which defines the eigen-frequency 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 order of hadronic size or less is revealed.