{ "id": "hep-th/9704214", "version": "v1", "published": "1997-04-30T18:24:39.000Z", "updated": "1997-04-30T18:24:39.000Z", "title": "The Background Field Method for N = 2 Super Yang-Mills Theories in Harmonic Superspace", "authors": [ "I. L. Buchbinder", "E. I. Buchbinder", "S. M. Kuzenko", "B. A. Ovrut" ], "comment": "17 pages, Latex", "journal": "Phys.Lett. B417 (1998) 61-71", "doi": "10.1016/S0370-2693(97)01319-1", "categories": [ "hep-th" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "1997-04-30T18:24:39.000Z" } ], "analyses": { "keywords": [ "background field method", "harmonic superspace", "one-loop effective action", "perturbative holomorphic effective action", "real omega-hypermultiplet" ], "tags": [ "journal article" ], "note": { "typesetting": "LaTeX", "pages": 17, "language": "en", "license": "arXiv", "status": "editable", "inspire": 442642 } } }