Суперсиметрична теорија поља на некомутативним просторима
Supersymmetric field theory on noncommutative spaces
Doktorand
Николић, Биљана Д.Mentor
Radovanović, VojaČlanovi komisije
Dimitrijević-Ćirić, MarijaSazdović, Branislav
Metapodaci
Prikaz svih podataka o disertacijiSažetak
У раду је проучаван утицај деформације суперпростора на ренормализабилност Вес-Зумино модела формулисаног на њему...
In 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 t...wo different
choices of the twist.