RUDIMENTS OF DUAL FEYNMAN-RULES FOR YANG-MILLS MONOPOLES IN LOOP SPACE

Dual Feynman rules for Dirac monopoles in Yang-Mills fields are obtain ed by the Wu-Yang criterion in which dynamics result as a consequence of the constraint defining the monopole as a topological obstruction i n the field. The usual path-integral approach is adopted, but using lo op space variables of the type introduced by Polyakov. An antisymmetri c tensor potential L-mu nu[xi/s] appears as the Lagrange multiplier fo r the Wu-Yang constraint which has to be gauge fixed because of the '' magnetic'' (U) over tilde symmetry of the theory. Two sets of ghosts a re thus introduced, which subsequently integrate out and decouple. The generating functional is then calculated to order g(0) and expanded i n a series in (g) over tilde. It is shown to be expressible in terms o f a local ''dual potential'' (A) over tilde(mu)(x) found earlier, whic h has the same propagator and the same interaction vertex with the mon opole field as those of the ordinary Yang-Mills potential A(mu) with a color charge, indicating thus a certain degree of dual symmetry in th e theory. For the Abelian case the Feynman rules obtained here are the same as in QED to all orders in g, as expected by dual symmetry.