NEW ANALYTIC RUNNING COUPLING IN QCD: HIGHER LOOP LEVELS

2001/11/30 by A. V. Nesterenko, A. V. NESTERENKO, I. L. Solovtsov +1 · 3 citations
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:10.1142/s0217732301005989

published as Mod.Phys.Lett. A16 (2001) 2517-2528 · LaTeX 2.09, 12 pages with 5 EPS figures, uses mpla1.sty; enlarged version is accepted for publication in Mod. Phys. Lett. A

arxiv created 2001/12/19 · openalex publication_date 2001/12/21 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The properties of the new analytic running coupling are investigated at the higher loop levels. The expression for this invariant charge, independent of the normalization point, is obtained by invoking the asymptotic freedom condition. It is shown that at any loop level the relevant β-function has the universal behaviors at small and large values of the invariant charge. Due to this feature the new analytic running coupling possesses the universal asymptotics in both the ultraviolet and infrared regions irrespective of the loop level. The consistency of the model considered with the general definition of the QCD invariant charge is shown.

Cited by

• Massive analytic invariant charge in QCD
• THE QCD ANALYTIC EFFECTIVE CHARGE AND ITS DEPENDENCE ON THE PION MASS
• ANALYTIC INVARIANT CHARGE IN QCD

Related

• Nonperturbative aspects of the QCD analytic invariant charge
• New analytic running coupling in spacelike and timelike regions
• Massive analytic invariant charge in QCD
• INVESTIGATION OF A NEW ANALYTIC RUNNING COUPLING IN QCD
• ANALYTIC INVARIANT CHARGE IN QCD