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Supersymmetric field theory on noncommutative spaces

dc.contributor.advisorRadovanović, Voja
dc.contributor.otherDimitrijević-Ćirić, Marija
dc.contributor.otherSazdović, Branislav
dc.creatorНиколић, Биљана Д.
dc.description.abstractУ раду је проучаван утицај деформације суперпростора на ренормализабилност Вес-Зумино модела формулисаног на њему
dc.description.abstractIn this dissertation, the impact of deformation of the superspace on renormalizability of the Wess-Zumino model, formulated on it, is studied. The review of known results for the undeformed Wess-Zumino model is given, i.e. renormalizability of the Wess- Zumino model is demonstrated by calculating the one-loop effective action using the background field method, supergraph technique and dimensional reduction. Further, it has been shown how the deformation quantization formalism can be used for obtaining the deformed superspace. Applying the Drinfeld twisting theorem on the Hopf algebra of universal enveloping algebra of supersymmetric transformations U(S), the deformed Hopf algebra U(S)F is obtained, where F is counital 2-cocycle for the algebra U(S). The twisted Hopf algebra U(S)F induces the new deformed product - ?-product on the algebra of superfields A. The algebra A with the new product is a U(S)F-algebra. The described formalism of deforming the superfield algebra is applied for two different choices of the twist.en
dc.publisherУниверзитет у Београду, Физички факултетsr
dc.rightsAutorstvo-Nekomercijalno-Bez prerade 3.0 Srbija (CC BY-NC-ND 3.0)
dc.sourceУниверзитет у Београдуsr
dc.subjectНе(анти)комутативни простори, суперсиметрија, деформисани Вес-Зумино модел, Хопфова алгебра, квантна теорија поља, ренормализабилностsr
dc.subjectnon(anti)commutative spaces, supersymmetry, deformed Wess-Zumino model, Hopf algebra, quantum field theory, renormalizationen
dc.titleСуперсиметрична теорија поља на некомутативним просторимаsr
dc.title.alternativeSupersymmetric field theory on noncommutative spacesen
dc.typePhD thesis

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