Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-04-30
Phys.Lett. B417 (1998) 61-71
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, Latex
Scientific paper
10.1016/S0370-2693(97)01319-1
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 omega-hypermultiplets (Faddeev-Popov ghosts) and one bosonic real omega-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.
Buchbinder Evgeny I.
Buchbinder Ioseph L.
Kuzenko Sergei M.
Ovrut Burt A.
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