Dyons with hidden electric charges and the long-range magnetic force

When gauge U(1) is spontaneously broken, associated electric charges are screened. We argue that corresponding magnetic charges, on the contrary, produce long-range force. Some interesting consequences of this phenomenon are also discussed. 1. In many theoretical models ordinary quarks and leptons carry hypothetical extra charges and participate in extra gauge interactions. These charges and interactions, if really exist, must show up at small distances (high energies), and are screened on larger distances where current experiments have found no evidence for their existence. This is consistently achieved through the spontaneous breaking of those extra gauge symmetries [here we consider U(1) Abelian symmetries only] by the Higgs mechanism, providing the extra gauge bosons with sufficiently large masses. In this paper we want to argue that although electric charges in spontaneously broken gauge theories are screened in the Higgs vacuum, the magnetic charges still produce an unscreened long-range forces. Thus the magnetic charges can be constrained from ”fifth-force” type of experiments. On the other hand, we will also argue that in the presence of such magnetic charges the Dirac charge quantization [1]-[3] is extended for the screened electric charges. Then, taking into account constraints on magnetic charges, we come to the conclusion that screened electric charges must be extremely large, so that the gauge field charge system is out of the Proca regime even at very low energies and laboratory strength magnetic fields. This implies that hidden charges can be identified in Aharonov-Bohm type of tabletop experiments.