Large-Nc QCD and Pade Approximant Theory

Abstract

In the large-Nc limit of QCD, the chiral expansion of the vacuum polarization at low energies determines the whole function at any arbitrarily large (but finite) energy. This result is an immediate consequence of the Theory of Pade Approximants to Stieltjes functions.

7 pages, 2 figures. Few comments added. Version published in journal

References in corpus (11)

• Chiral symmetry breaking from five dimensional spaces
• Matching Long and Short Distances in Large-Nc QCD
• Interpolating between low and high energy QCD via a 5D Yang-Mills model
• An Illustrative Example of How Quark-Hadron Duality Might Work
• Patterns of Spontaneous Chiral Symmetry Breaking in the Large-Nc Limit of QCD-Like Theories
• The electroweak pi^+ - pi^0 mass difference and weak matrix elements in the 1/Nc expansion
• Testing an approximation to large-Nc QCD with a toy model
• Emerging Holography
• Analytic Approaches to Kaon Physics
• Electroweak matrix elements at large Nc: matching quarks to mesons
• Present Status of Chiral Perturbation Theory

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• Extended analytic QCD model with perturbative QCD behavior at high momenta
• Vector Meson Dominance as a first step in a systematic approximation: the pion vector form factor
• Nearly perturbative lattice-motivated QCD coupling with zero IR limit
• Bjorken polarized sum rule and infrared-safe QCD couplings
• The vector form factor at the next-to-leading order in 1/N(C): chiral couplings L9(mu) and C88(mu) - C90(mu)
• Padé Approximants and Resonance Poles
• Pade Theory applied to the vacuum polarization of a heavy quark
• Simple analytic QCD model with perturbative QCD behavior at high momenta
• Operator Product Expansion with analytic QCD in tau decay physics
• Some Remarks on the Pade Unitarization of Low-Energy Amplitudes
• $\eta$ and ${\eta }^{\prime }$ decays into lepton pairs
• On the relation between low-energy constants and resonance saturation
• Towards understanding Regge trajectories in holographic QCD
• Lattice-motivated holomorphic nearly perturbative QCD
• Unparticle signals with a few particles
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• Infrared-suppressed QCD coupling and the hadronic contribution to muon g-2
• Evaluation of neutrinoless double beta decay: QCD running to sub-GeV scales
• Holography, Pade Approximants and Deconstruction
• Rational approximations in Analytic QCD
• Vector Meson Dominance as the first order of a sequence of Pade Approximants