Higher Derivative Terms in the Effective Action of N=2 SUSY QCD from Instantons

Details Higher Derivative Terms in the Effective Action of N=2 SUSY QCD from Instantons Higher Derivative Terms in the Effective Action of N=2 SUSY QCD from Instantons

1997-05-23

arxiv.org/abs/hep-th/9705181v2

Nucl.Phys. B512 (1998) 79-102

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, LATEX file. Final version to appear in Nuclear Physics B. Misprints corrected, exact solution in section 5 is slight

Scientific paper

10.1016/S0550-3213(97)00673-1

We consider N=2 SUSY QCD with gauge group SU(2) and N_f flavours of matter with nonzero mass. Using the method of the instanton-induced effective vertex we calculate higher derivative corrections to the Seiberg-Witten result in the momentum expansion of the low energy effective Lagrangian in various regions of the modular space. Then we focus on a certain higher derivative operator on the Higgs branch. We show that the singular behavior of this operator comes from values of mass of matter at which charge singularity on the Coulomb branch collides with the monopole or dyon one. Given the behavior of this operator at weak coupling coming from instantons as well as its behavior near points of colliding singularities we find the exact solution for this operator.

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