Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-09-04
Grav.Cosmol.9:2-10,2003
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, LaTeX, Based on the talks given by authors at the International Conference on Theoretical and Experimental Problems
Scientific paper
We review the approach to calculation of one-loop effective action in ${\cal N}=2,4$ SYM theories. We compute the non-holomorphic corrections to low-energy effective action (higher derivative terms) in ${\cal N}=2$, SU(2) SYM theory coupled to hypermultiplets on a non-abelian background for $R_{\xi}$-gauge fixing conditions. A general procedure for calculating the gauge parameters depending contributions to one-loop superfield effective action is developed. The one-loop non-holomorphic effective potential is exactly found in terms of the Euler dilogarithm function for a specific choice of gauge parameters.We also discuss the calculations of hypermultiplet dependence of ${\cal N}=4$ SYM effective action.
Banin A. T.
Buchbinder Ioseph L.
Pletnev N. G.
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