1993 (IPP)
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Item Electric charge from spontaneous breaking of symmetry(2015-01-13) Gupta, Patrick DasThe duality symmetry present in the Maxwell equations admitting magnetic charges is gauged using a complex scalar field. In this new model, electromagnetic charge arises because of a "Yukawa" type coupling of the matter with the scalar field. Considering an interacting Dirac field we show that spontaneous symmetry breaking in the scalar field sector leads at low energy to the reduction of this theory to the usual electrodynamics without magnetic charges. The notion of electric charge as a coupling constant arises very naturally in this model. Higgs mechanism in this model gives rise to the existence of a scalar and a vector field, both real and massive.Item Magnetic charges and local duality symmetry - II(2015-01-13) Gupta, Patrick DasThe notion of magnetic charges is intimately linked with the global duality symmetry exhibited by the extended Maxwell equation. We show that duality symmetry is meaning only in 3+1 dimensional space- times, implying thereby that magnetic monopoles as fundamental particle can be postulated only 3+1 dimensions. We also study the consequences of elevating the status of duality symmetry to a local symmetry. Local duality symmetry is achieved by introducing a complex scalar field in the theory. The new theory is generalization of the extended Maxwell theory. In this formalism, the electromagnetic charges arise due to a spontaneous symmetry breaking. By choosing a suitable gauge one can recover ordinary electrodynamics without the magnetic charges.