The Background field method for N=2 superYang-Mills theories in harmonic superspace

Iosep Buchbinder, Evgeny Buchbinder, Sergei Kuzenko, Burt A. Ovrut

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88 Citations (Scopus)


The background field method for N=2 super Yang-Mills theories in harmonic superspace is developed. The ghost structure of the theory is investigated. It is shown that the ghosts include two fermionic real ω-hypermultiplets (Faddeev-Popov ghosts) and one bosonic real ω-hypermultiplet (Nielsen-Kallosh ghost), all in the adjoint representation of the gauge group. The one-loop effective action is analysed in detail and it is found that its structure is determined only by the ghost corrections in the pure super Yang-Mills theory. As applied to the case of N=4 super Yang-Mills theory, realized in terms of N=2 superfields, the latter result leads to the remarkable conclusion that the one-loop effective action of the theory does not contain quantum corrections depending on the N=2 gauge superfield only. We show that the leading low-energy contribution to the one-loop effective action in the N=2 SU(2) super Yang-Mills theory coincides with Seiberg's perturbative holomorphic effective action.
Original languageEnglish
Pages (from-to)61-71
JournalPhysics Letters B
Issue number1-2
Publication statusPublished - 1998


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