Quark gap equation within the analytic approach to QCD

2005/10/10 by A. C. Aguilar, A. V. Nesterenko, Joannis Papavassiliou +1
Physics and Astronomy · #Asymptotic freedom #Chiral symmetry breaking #Coupling constant #High-Energy Particle Collisions Research #Mass gap #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quark #hep-ph #hep-th

paper · pdf · doi:10.1016/j.nuclphysbps.2006.11.071

published as Nucl. Phys. B (Proc. Suppl.) 164 (2007) 300-303 · Talk given by J.P. at 12th International QCD Conference (QCD05), 4 - 9 July 2005, Montpellier, France; 4 pages, 3 figures

arxiv created 2005/10/10 · openalex publication_date 2007/01/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The compatibility between the QCD analytic invariant charge and chiral symmetry breaking is examined in detail. The coupling in question incorporates asymptotic freedom and infrared enhancement into a single expression, and contains only one adjustable parameter with dimension of mass. When inserted into the standard form of the quark gap-equation it gives rise to solutions displaying singular confining behavior at the origin. By relating these solutions to the pion decay constant, a rough estimate of about 880 MeV is obtained for the aforementioned mass-scale.

Citations

• Analytic Model for the QCD Running Coupling with Universalα¯s(0)Value
• Analytic perturbation theory in QCD and Schwinger’s connection between theβfunction and the spectral density
• Infrared enhanced analytic coupling and chiral symmetry breaking in QCD
• New analytic running coupling in spacelike and timelike regions
• Dyson-Schwinger equations and their application to hadronic physics
• ANALYTIC INVARIANT CHARGE IN QCD