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

1996/08/10 by Toshiyuki Harano, Masatoshi Sato · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1016/s0550-3213(96)00599-8

published as Nucl.Phys. B484 (1997) 167-195 · 32 pages, LaTeX, no figure

arxiv created 1996/08/10 · openalex publication_date 1997/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

Abstract

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 F₂ 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.

Cited by

• Picard–Fuchs equations and Whitham hierarchy in N=2 supersymmetric SU(r+1) Yang–Mills theory
• SolvingN=2supersymmetric Yang-Mills theory by reflection symmetry of quantum vacua