Does Magnetic Charge Imply a Massive Photon ?
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In Abelian theories of monopoles the magnetic charge is required to be enormous. Using the electric-magnetic duality of electromagnetism it is argued that the existence of such a large, non-perturbative magnetic coupling should lead to a phase transition where magnetic charge is permanently confined and the photon becomes massive. The apparent masslessness of the photon could then be used as an argument against the existence of such a large, non-perturbative magnetic charge. Finally it is shown that even in the presence of this dynamical mass generation the Cabbibo-Ferrari formulation of magnetic charge gives a consistent theory.
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Magnetic Monopoles -- From Dirac to the Large Hadron Collider
Magnetic monopoles are theoretically well-motivated but remain unobserved after extensive searches in cosmic rays and at particle colliders such as the LHC.
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