One-loop effective potential in $\mathcal{N}=1/2$ generic chiral superfield model

Abstract

We obtain the one-loop quantum corrections to the Kählerian and superpotentials in the generic chiral superfield model on the nonanticommutative superspace. Unlike all previous works, we use a method which does not require to rewrite a star-product of superfields in terms of ordinary products. In the Kählerian potential sector the one-loop contributions are analogous to ones in the undeformed theory while in the chiral potential sector the quantum corrections contain a deformation parameter.

LaTeX, 9 pages, Typos corrected

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• Supersymmetric Nambu$-$Jona-Lasinio Model on $\mathcal{N}=1/2$ four-dimensional Non(anti)commutative Superspace
• Vector-multiplet effective action in the non-anticommutative charged hypermultiplet model
• On the alternative formulation of the three-dimensional noncommutative superspace