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On N = 2 supersymmetric QCD with four flavors

1996/11/06 by Nicholas Dorey, N. Dorey, Valentin V. Khoze +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1016/s0550-3213(97)00132-6

published as Nucl.Phys. B492 (1997) 607-622 · 20 pp, uses harvmac.tex, reference added

arxiv created 1996/11/06 · openalex publication_date 1997/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Seiberg and Witten's proposed solution of N=2 SQCD with Nc=2 and NF=4 is known to conflict with instanton calculations in three distinct ways. Here we show how to resolve all three discrepancies, simply by reparametrizing the elliptic curve in terms of quantities τ0eff and u rather than τ and u = < Tr A2 > . SL(2,Z) invariance of the curve is preserved. However, there is now an infinite ambiguity in the relation between τ0eff and τ and between u and u, corresponding to an infinite number of unknown coefficients in the instanton expansion. Thus the reinterpreted curve (unlike the cases NF<4) no longer determines the quantum modulus u as a function of the classical VEV a.

Citations