Non-anticommutative Supersymmetric Field Theory and Quantum Shift

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dc.creatorArai, Masato
dc.creatorChaichian, Masud
dc.creatorNishijima, Kazuhiko
dc.creatorTureanu, Anca
dc.date2006-04-05
dc.date2006-05-11
dc.date.accessioned2026-07-07T10:46:22Z
dc.date.available2026-07-07T10:46:22Z
dc.descriptionNon-anticommutative Grassmann coordinates in four-dimensional twist-deformed N=1 Euclidean superspace are decomposed into geometrical ones and quantum shift operators. This decomposition leads to the mapping from the commutative to the non-anticommutative supersymmetric field theory. We apply this mapping to the Wess-Zumino model in commutative field theory and derive the corresponding non-anticommutative Lagrangian. Based on the theory of twist deformations of Hopf algebras, we comment the preservation of the (initial) N=1 super-Poincaré {\it algebra} and on the consequent super-Poincaré invariant interpretation of the discussed model, but also provide a measure for the violation of the super-Poincaré symmetry.
dc.description17 pages, references added, correction made, minor changes made and discussion added in section 5
dc.identifierhttps://arxiv.org/abs/hep-th/0604029
dc.identifierhttp://arxiv.org/abs/hep-th/0604029
dc.identifierPhys.Lett.B639:124-134,2006
dc.identifierdoi:10.1016/j.physletb.2006.06.015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183207
dc.subjectHigh Energy Physics - Theory
dc.titleNon-anticommutative Supersymmetric Field Theory and Quantum Shift
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