Issues on 3D Noncommutative Electromagnetic Duality

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dc.creatorRodrigues, Davi C.
dc.creatorWotzasek, Clovis
dc.date2006-03-04
dc.date2006-11-05
dc.date.accessioned2026-07-07T10:46:08Z
dc.date.available2026-07-07T10:46:08Z
dc.descriptionWe extend the ordinary 3D electromagnetic duality to the noncommutative (NC) space-time through a Seiberg-Witten map to second order in the noncommutativity parameter (theta), defining a new scalar field model. There are similarities with the 4D NC duality, these are exploited to clarify properties of both cases. Up to second order in theta, we find that duality interchanges the 2-form theta with its 1-form Hodge dual *theta times the gauge coupling constant, i.e., theta --> *theta g^2 (similar to the 4D NC electromagnetic duality). We directly prove that this property is false in the third order expansion in both 3D and 4D space-times, unless the slowly varying fields limit is imposed. Outside this limit, starting from the third order expansion, theta cannot be rescaled to attain an S-duality. In addition to possible applications on effective models, the 3D space-time is useful for studying general properties of NC theories. In particular, in this dimension, we deduce an expression that significantly simplifies the Seiberg-Witten mapped Lagrangian to all orders in theta.
dc.description15 pages, revtex4. v.2: We added a proof that the terms in (4.9) are not surface terms, a new paragraph in our conclusion and new references. v.3: improvements in our introduction and conclusions. v.4: Published version (PRD): additional comments and references
dc.identifierhttps://arxiv.org/abs/hep-th/0603027
dc.identifierhttp://arxiv.org/abs/hep-th/0603027
dc.identifierPhys.Rev.D74:085027,2006
dc.identifierdoi:10.1103/PhysRevD.74.085027
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183132
dc.subjectHigh Energy Physics - Theory
dc.titleIssues on 3D Noncommutative Electromagnetic Duality
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