Hamiltonian formulation for the Yang-Mills fields associated with electric and magnetic charges in the Coulomb gauge

We consider particles carrying both the electric and magnetic charges in the Yang-Mills theory. The Hamiltonian formultion for the system has been carried out in the Coulomb gauge. The zero mode problem associated with the Coulomb gauge has been taken care of by introducing generalized Green's functions and imposing the restrictions of orthogonality of source terms and zero modes. It has been shown that the orthogonality imposes restrictions on the physical states of the system. 9 refs. (author)