Freezing of the QCD coupling constant and solutions of Schwinger-Dyson equations

2001/09/28 by A. C. Aguilar, Antonio Mihara, A. Mihara +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Chiral perturbation theory #Constant (computer programming) #Coupling (piping) #Coupling constant #Gluon #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Pion decay constant #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #hep-ph

paper · pdf · doi:10.1103/physrevd.65.054011

published as Phys.Rev. D65 (2002) 054011 · 6 pages, 4 figures, RevTeX, axodraw

arxiv created 2001/09/28 · openalex publication_date 2002/01/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We compare phenomenological values of the frozen QCD running coupling constant (\ensuremathα_s) with two classes of infrared finite solutions obtained through nonperturbative Schwinger-Dyson equations. We use these same solutions with frozen coupling constants as well as their respective nonperturbative gluon propagators to compute the QCD prediction for the asymptotic pion form factor. Agreement between theory and experiment on \ensuremathα_s(0) and F_\ensuremathπ(Q²) is found only for one of the Schwinger-Dyson equation solutions.

Citations

• ANALYTICITY AND MINIMALITY OF NONPERTURBATIVE CONTRIBUTIONS IN PERTURBATIVE REGION FOR α_\lc s
• Analytic Model for the QCD Running Coupling with Universalα¯s(0)Value
• Infinite volume and continuum limits of the Landau-gauge gluon propagator
• Dyson-Schwinger equations and their application to hadronic physics
• Relation between QCD potentials in momentum and position space
• Computing the perturbative gluon condensate
• Dynamical mass generation in continuum quantum chromodynamics
• Determination ofαs(1 GeV)from the charmonium fine structure
• Towards a mapping of the marginal : readings of art songs by Nigerian, Ghanaian, Egyptian and South African composers
• Charmonium: Comparison with experiment

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