# Construction of the effective action in nonanticommutative supersymmetric field theories

Research paper by O. D. Azorkina, A. T. Banin, I. L. Buchbinder, N. G. Pletnev

Indexed on: 05 Dec '05Published on: 05 Dec '05Published in: High Energy Physics - Theory

#### Abstract

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.