Supersymmetric non-Abelian noncommutative Chern-Simons theory

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dc.creatorFerrari, A. F.
dc.creatorGomes, M.
dc.creatorPetrov, A. Yu.
dc.creatorda Silva, A. J.
dc.date2005-11-04
dc.date2006-02-03
dc.date.accessioned2026-07-07T11:06:18Z
dc.date.available2026-07-07T11:06:18Z
dc.descriptionIn this work, we study the three-dimensional non-Abelian noncommutative supersymmetric Chern-Simons model with the U(N) gauge group. Using a superfield formulation, we prove that, for the pure gauge theory, the Green functions are one-loop finite in any gauge, if the gauge superpotential belongs to the fundamental representation of $u(N)$; this result also holds when matter in the fundamental representation is included. However, the cancellation of both ultraviolet and ultraviolet/infrared infrared divergences only happens in a special gauge if the coupling of the matter is in the adjoint representation. We also look into the finite one-loop quantum corrections to the effective action: in the pure gauge sector the Maxwell together with its corresponding gauge fixing action are generated; in the matter sector, the Chern-Simons term is generated, inducing a shift in the classical Chern-Simons coefficient.
dc.description16 pages, 3 figures, revtex4, enhanced discussion, mainly of the finite part of quantum corrections, and the shift in the Chern-Simons coefficient
dc.identifierhttps://arxiv.org/abs/hep-th/0511059
dc.identifierhttp://arxiv.org/abs/hep-th/0511059
dc.identifierPhys.Lett.B638:275-282,2006
dc.identifierdoi:10.1016/j.physletb.2006.05.031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189474
dc.subjectHigh Energy Physics - Theory
dc.titleSupersymmetric non-Abelian noncommutative Chern-Simons theory
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