2003/07/22 by A. V. Nesterenko
Physics and Astronomy · #hep-ph #hep-th
paper · pdf · doi:10.1016/j.nuclphysbps.2004.04.137
published as Nucl. Phys. B (Proc. Suppl.) 133, 59 (2004) · Talk given at Tenth International QCD Conference (QCD 03), 2 - 9 July 2003, Montpellier, France; LaTeX2e, 4 pages, 4 EPS figures
arxiv created 2003/07/22 · arxiv updated 2009/12/01
In the framework of the analytic approach to Quantum Chromodynamics a new model for the strong running coupling has recently been developed. Its underlying idea is to impose the analyticity requirement on the perturbative expansion of the renormalization group β function for restoring the correct analytic properties of the latter. The proposed model possesses a number of appealing features. Namely, the analytic invariant charge has no unphysical singularities at any loop level; it contains no free parameters; it has universal behavior both in ultraviolet and infrared regions at any loop level; and it possesses a fair higher loop and scheme stability. The extension of this model to the timelike region revealed the asymmetrical behavior of the running coupling in the intermediate- and low-energy domains of spacelike and timelike regions, that is essential when one handles the experimental data. The developed approach enables one to describe, in a consistent way, various strong interaction processes both of perturbative and intrinsically nonperturbative nature.