The QCD analytic effective charge and its dependence on the pion mass

Abstract

A new model for the QCD analytic running coupling, which incorporates the effects due to the $\pi$ meson mass, is proposed. The properties of this invariant charge in spacelike and timelike regions are examined. Its main distinctive features are a finite infrared limiting value, which depends on the pion mass, and the "plateau-like" behavior in the deep infrared domain of the timelike region.

Talk given at Eighth Workshop on Nonperturbative QCD, 7 - 11 June 2004, Paris, France; 6 pages, 2 EPS figures

References in corpus (5)

• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• Analytic Invariant Charge in QCD
• Tracking QCD-Instantons
• Nonperturbative aspects of the QCD analytic invariant charge
• New analytic running coupling in QCD: higher loop levels

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