Abstract :
We treat the collective coordinates of the moduli space of monopoles within the Dirac formalism. We show that the constraints derived from the collective coordinates must depend on the physical modes in order to perform a perturbation expansion which is based on a Hilbert space which is globally defined over the moduli space. In turn, the metric defined on the moduli space gets corrected at the quantum level. In particular, the metric of the 2-monopole would loose the O(3) invariance due to these corrections. More research is needed to prove this conjecture.
