D-deformed Wess-Zumino model and its renormalizability properties

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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25 pages, no figures, some comments and references added, accepted for publication in JHEP

Scientific paper

10.1088/1126-6708/2009/04/108

Using the methods developed in earlier papers we analyze a new type of deformation of the superspace. The twist we use to deform the N=1 SUSY Hopf algebra is non-hermitian and is given in terms of the covariant derivatives $D_\alpha$. A SUSY invariant deformation of the Wess-Zumino action is constructed and compared with results already known in the literature. Finally, by calculating divergences of the two-point Green functions a preliminary analysis of renormalizability properties of the constructed model is done. As expected, there is no renormalization of mass and no tadpole diagrams appear.

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