Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-03-21
Phys.Lett. B412 (1997) 309-319
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, Latex, FEYNMAN macros included, minor corrections in abstract
Scientific paper
10.1016/S0370-2693(97)01025-3
We present, in the N=2, D=4 harmonic superspace formalism, a general method for constructing the off-shell effective action of an N=2 abelian gauge superfield coupled to matter hypermultiplets. Using manifestly N=2 supersymmetric harmonic supergraph techniques, we calculate the low-energy corrections to the renormalized one-loop effective action in terms of N=2 (anti)chiral superfield strengths. For a harmonic gauge prepotential with vanishing vacuum expectation value, corresponding to massless hypermultiplets, the only non-trivial radiative corrections to appear are non-holomorphic. For a prepotential with non-zero vacuum value, which breaks the U(1)-factor in the N=2 supersymmetry automorphism group and corresponds to massive hypermultiplets, only non-trivial holomorphic corrections arise at leading order. These holomorphic contribution are consistent with Seiberg's quantum correction to the effective action, while the first non-holomorphic contribution in the massless case is the N=2 supersymmetrization of the Heisenberg-Euler effective Lagrangian.
Buchbinder Evgeny I.
Buchbinder Ioseph L.
Ivanov Eugeny A.
Kuzenko Sergei M.
Ovrut Burt A.
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