OPEN RIGID STRING WITH GAUSS-BONNET TERM IN THE ACTION

The effect of the Gaussian curvature in the rigid string action on the interquark potential is investigated. The linearized equations of mot ion and boundary conditions, following from the modified string action , are obtained. The equation which defines the eigenfrequency spectrum of the string oscillations is derived. On this basis the interquark p otential generated by the string is calculated in one-loop approximati on. A substantial influence of the topological term in the string acti on on the interquark potential at the distances of order of hadronic s ize or less is revealed.