Electromagnetic Dualities on Noncommutative Space-Time and Symplectic Formalisms

dc.creatorRodrigues, Davi C.
dc.date2006-11-07
dc.date.accessioned2026-07-07T07:32:13Z
dc.date.available2026-07-07T07:32:13Z
dc.descriptionIn this thesis we analyze extensions of classical electromagnetic dualities to the noncommutative (NC) 3D and 4D space-times. It is known that the noncomutativity parameter theta becomes its Hodge dual *theta through the NC 4D electromagnetic duality [under the Slowly Varying Fields (SVF) limit], this is a nontrivial transformation which connects noncommutativity in space with noncommutativity between space and time. In this thesis we extend this duality to the 3D space-time, evaluate the necessity of the SVF limit in both 4D and 3D, study the 3D case with topological mass and establish a noncommutative extension to the selfdual model, clarifying certain conflicts found in the literature. We also present here the development of a technique of gauge embedding inspired in the symplectic handling of constraints which has already been applied to a number of models, both commutative and noncommutative, and success has been achieved in reproducing results obtained by other methods.
dc.description162 pages, 7 figures, Ph.D. thesis (Portuguese)
dc.identifierhttps://arxiv.org/abs/hep-th/0611073
dc.identifierhttp://arxiv.org/abs/hep-th/0611073
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119034
dc.subjectHigh Energy Physics - Theory
dc.titleElectromagnetic Dualities on Noncommutative Space-Time and Symplectic Formalisms
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