Rigid String From QCD Lagrangian

Abstract

Starting from the 4-dimensional gluodynamics, we discuss the statistical ensemble of torons ( the toron is a self-dual solution with fractional topological number; it can be understood as a point defect) which interact strongly. It is shown that the effective Lagrangian describing this statistical ensemble possesses the fourth derivative kinetic term and leads to the area law for the Wilson loop. Besides that we derive the effective string action containing the rigid (extrinsic curvature) term as a consequence of the fourth derivative action.