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[en] The present work discusses the classical electromagnetic theory in the presence of magnetic monopoles. We review the connection between such objects and the long standing problem of charge quantization and the main theoretical difficulties in formulating the classical dual electromagnetic theory in terms of an action principle. We show that a deeper understanding of the source of such difficulties leads naturally to the construction of a variational principle for a non-local Lagrangian from which all the (local) dynamical equations for electric, magnetic charges and fields can be obtained. (author)
[en] The basic relations for the electrodynamics of a magnetic monopole in a medium must be reexamined. The energy loss of a magnetic monopole in classical media is found. It is noted in particular that there is no longitudinal energy loss. A special ''explosive'' mechanism for the energy loss of magnetic monopoles is described
[en] The quoted flux in a recent report of a detected magnetic monopole is inconsistent by factors on the order of 500 000 with ocean-bottom searches. One resolution of this incongruity is that monopoles are trapped somewhere between the top of the atmosphere and the ocean bottom. We have searched for monopoles in the atmosphere and ocean water and have found none at levels substantially below the numbers expected if the monopoles were trapped
[en] We show that the recently considered McGreevy-Swingle model for Majorana fermions in the presence of a 't Hooft-Polyakov magnetic monopole arises when the Jackiw-Rebbi model is constrained to be conjugation self dual.
[en] The experimental investigations of a ferromagnetic aerosol's behaviour in magnetic and electric fields of various configurations are described. It has been stated that number of aerosol particles under intensive ilumination move in the magnetic field as an object carrying a magnetic charge
[en] In the Landau problem on the two-dimensional plane, physical displacement of a charged particle (i.e., magnetic translation) can be induced by an in-plane electric field. The geometric phase accompanying such magnetic translation around a closed path differs from the topological phase of Aharonov and Bohm in two essential aspects: The particle is in direct contact with the magnetic field and the geometric phase has an opposite sign from the Aharonov–Bohm phase. We show that magnetic translation on the two-dimensional cylinder implemented by the Schrödinger time evolution truly leads to the Aharonov–Bohm effect. The magnetic field normal to the cylinder’s surface corresponds to a line of magnetic monopoles of uniform density whose simulation is currently under investigation in cold atom physics. In order to characterize the quantum problem, one needs to specify the value of the magnetic flux (modulo the flux unit) that threads but not in touch with the cylinder. A general closed path on the cylinder may enclose both the Aharonov–Bohm flux and the local magnetic field that is in direct contact with the charged particle. This suggests an extension of the Aharonov–Bohm experiment that naturally takes into account both the geometric phase due to local interaction with the magnetic field and the topological phase of Aharonov and Bohm.
[en] A qualitative discussion of the feature of the phenomenological electromagnetism in the presence of magnetic poles is presented together with the possible suggestion that one can derive for the combined renormalization of charges and poles