Duality in Scalar Field Theory on Noncommutative Phase Spaces

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dc.creatorLangmann, Edwin
dc.creatorSzabo, Richard J.
dc.date2002-02-06
dc.date2002-02-27
dc.date.accessioned2026-07-07T11:10:03Z
dc.date.available2026-07-07T11:10:03Z
dc.descriptionWe describe a novel duality symmetry of Phi(4)-theory defined on noncommutative Euclidean space and with noncommuting momentum coordinates. This duality acts on the fields by Fourier transformation and scaling. It is an extension, to interactions defined with a star-product, of that which arises in quantum field theories of non-interacting scalar particles coupled to a constant background electromagnetic field. The dual models are in general of the same original form but with transformed coupling parameters, while in certain special cases all parameters are essentially unchanged. Using a particular regualarization we show, to all orders of perturbation theory, that that this duality also persists at the quantum level. We also point out various other properties of this class of noncommutative field theories.
dc.description13 pages LaTeX; Minor corrections, references added, comment about self-dual models added to section 4
dc.identifierhttps://arxiv.org/abs/hep-th/0202039
dc.identifierhttp://arxiv.org/abs/hep-th/0202039
dc.identifierPhys.Lett.B533:168-177,2002
dc.identifierdoi:10.1016/S0370-2693(02)01650-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190675
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectMathematical Physics
dc.subjectFunctional Analysis
dc.titleDuality in Scalar Field Theory on Noncommutative Phase Spaces
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