It is shown that the magnetic monopole of 't Hooft and an isospinor fermion do not have any bound states. Further, the dyon of Julia and Zee considered as a fixed field configuration does not bind an isospinor fermion. An example is given of an infinite-energy solution of the pure Yang-Mills theory which when taken as a potential in a wave equation will confine the wave function.

• Received 21 April 1975

DOI:https://doi.org/10.1103/PhysRevD.12.1096