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Infrared enhanced analytic coupling and chiral symmetry breaking in QCD

2005/04/30 by A. C. Aguilar, A C Aguilar, A. V. Nesterenko +3
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1088/0954-3899/31/9/002

published as J.Phys. G31 (2005) 997 · 14 pages, 3 figures; to appear in J. Phys. G

arxiv created 2005/07/14 · openalex publication_date 2005/07/25 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We study the impact on chiral symmetry breaking of a recently developed model for the QCD analytic invariant charge. This charge contains no adjustable parameters, other than the QCD mass scale Λ, and embodies asymptotic freedom and infrared enhancement into a single expression. Its incorporation into the standard form of the quark gap equation gives rise to solutions for the dynamically generated mass that display a singular confining behaviour at the origin. Using the Pagels–Stokar method we relate the obtained solutions to the pion decay constant f π , and estimate the scale parameter Λ, in the presence of four active quarks, to be about 880 MeV.

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