2009/09/30 by A. Marshakov, А. Миронов, A. Mironov +2 · 3 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:10.1088/1126-6708/2009/11/048
published as JHEP 0911:048,2009 · 11 pages
arxiv created 2009/11/03 · openalex publication_date 2009/11/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The AGT relations allow one to convert the Zamolodchikov asymptotic formula for the conformal block into the instanton expansion of the Seiberg-Witten prepotential for theory with two colors and four fundamental flavors. This provides an explicit formula for the instanton corrections in this model, resolving in this way an old problem in Seiberg-Witten theory. The answer is especially elegant for vanishing matter masses, then the bare charge of gauge theory 16q0 = 16eiπτ0 plays the role of a branch point on the spectral torus. The exact prepotential at this point is F a2log q with q≠ q0, unlike the case of another conformal theory, with massless adjoint field. Instead, 16q0 = θ104/θ004(q) = 16q(1+O(q)), i.e. the Zamolodchikov asymptotics gives rise, in particular, to an exact non-perturbative beta-function so that the effective coupling differs from the bare charge by infinite number of instantonic corrections.