2000/12/28 by A. V. Nesterenko, A. V. NESTERENKO · 2 citations
Engineering · Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Sports Dynamics and Biomechanics #hep-ph #hep-th
paper · pdf · doi:10.1142/s0217732300003030
published as Mod. Phys. Lett. A 15 (2000) p. 2401-2411 · LaTeX 2.09, 12 pages with 4 EPS figures, uses mpla1.sty. Mod. Phys. Lett. A (to be published)
openalex publication_date 2000/12/28 · arxiv created 2001/02/16 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The mathematical properties of the new analytic running coupling (NARC) in QCD are investigated. This running coupling naturally arises under "analytization" of the renormalization group equation. One of the crucial points in our consideration is the relation established between the NARC and its inverse function. The latter is expressed in terms of the so-called Lambert W function. This relation enables one to present explicitly the NARC in the renorminvariant form and to derive the corresponding β function. The asymptotic behavior of this β function is examined. The consistent estimation of the parameter Λ QCD is given.