Multi-instanton calculus versus exact results in N=2 supersymmetric QCD

Details Multi-instanton calculus versus exact results in N=2 supersymmetric QCD Multi-instanton calculus versus exact results in N=2 supersymmetric QCD

1996-08-10

arxiv.org/abs/hep-th/9608060v1

Nucl.Phys. B484 (1997) 167-195

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, LaTeX, no figure

Scientific paper

10.1016/S0550-3213(96)00599-8

Microscopic tests of the exact results are performed in $N=2$ supersymmetric $SU(2)$ QCD. We present the complete construction of the multi-instanton in $N=2$ supersymmetric QCD. All the defining equations of the super instanton are reduced to the algebraic equations. Using this result, we calculate the two-instanton contribution ${\cal F}_2$ to the prepotential ${\cal F}$ for the arbitrary $N_f$ theories. For $N_f=0,1,2$, instanton calculus agrees with the prediction of the exact results, however, for $N_f=3,4$, we find discrepancies between them. We propose improved curves of the exact results for the massive $N_f=3$ and massless $N_f=4$ theories.

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