SU(3) theory of fermion-monopole systems

Abstract

It is shown that, when Fermi fields are introduced in the SU(3) generalizations of the 't Hooft-Polyakov model, the existence of any topologically stable solution to the pure Yang-Mills-Higgs system necessarily implies that the corresponding Dirac equations possess, for any nonzero value of the soliton-fermion coupling constant, an isolated, normalizable solution at exactly zero energy.