Construction of the effective action in nonanticommutative supersymmetric field theories

Details Construction of the effective action in nonanticommutative supersymmetric field theories Construction of the effective action in nonanticommutative supersymmetric field theories

2005-09-26

arxiv.org/abs/hep-th/0509193v3

Phys.Lett.B633:389-396,2006

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, LaTeX

Scientific paper

10.1016/j.physletb.2005.12.009

We develop a general gauge invariant construction of the one-loop effective action for supersymmetric gauge field theories formulated in ${\cal N}=1/2$ superspace. Using manifestly covariant techniques (the background superfield method and proper-time representations) adopted to the ${\cal N}=1/2$ superspace we show how to define unambiguously the effective action of a matter multiplet (in fundamental and adjoint representations) and the vector multiplet coupled to a background ${\cal N}=1/2$ gauge superfield. As an application of this construction we exactly calculate the low-energy one-loop effective action of matter multiplet and SU(2) SYM theory on the Abelian background.

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