Monopole theories with massless and massive gauge fields

Abstract

We investigate magnetic-monopole-type theories, including those where the gauge field acquires a mass. The study is based on a modification of Zwanziger's local Lagrangian formulation of the usual (zero-mass) theory. The quantization is carried out by using Dirac's general method. For the mass-zero case the known results are recovered including the charge-quantization condition. The Hamiltonian and angular momentum for the massive case are derived and discussed. Further, it is shown how Nambu's static phenomenological Hamiltonian can be derived as a special case of the massive theory. Certain difficulties associated with the rotational invariance of such theories are pointed out.