Triality monopoles, hadronic vortices and the Yang-Mills connection

In the context of a color SU(N) gauge theory, a scheme is formulated for colorless Dirac monopoles with their associated strings. Its distinct feature lies in the introduction of a covariant constant measuring operator C with which a relativistic gauge invariant flux is constructed for the monopoles. This flux is defined only by modulo N. Furthermore the existence of C leads to a reduction in the color degrees of freedom and specifies the holonomy group classifying a new monopole solution to the field equations. Since the Dirac strings become physical vortices in an SU(N) superconducting vacuum it is shown that N quark-monopoles are confined at the ends of N legged vortices, thus fulfilling the Mandelstam-Polyakov topological 'triality'. The Nambu-London equations for these interacting vortices are derived in the tree approximation. (Auth.)