Analytic perturbation theory: A new approach to the analytic continuation of the strong coupling constantαSinto the timelike region

1997/10/10 by Kimball A. Milton, O. P. Solovtsova, Olga P. Solovtsova
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #hep-ph

paper · pdf · doi:10.1103/physrevd.57.5402

published as Phys.Rev. D57 (1998) 5402-5409 · 16 pages, REVTeX, 7 postscript figures

arxiv created 1997/10/10 · openalex publication_date 1998/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The renormalization group applied to perturbation theory is ordinarily used to define the running coupling constant in the spacelike region. However, to describe processes with timelike momenta transfers, it is important to have a self-consistent determination of the running coupling constant in the timelike region. The technique called analytic perturbation theory (APT) allows a consistent determination of this running coupling constant. The results are found to disagree significantly with those obtained in the standard perturbative approach. Comparison between the standard approach and APT is carried out to two loops, and threshold matching in APT is applied in the timelike region.

Citations

• Analytic Model for the QCD Running Coupling with Universalα¯s(0)Value
• Analytic perturbation theory in QCD and Schwinger’s connection between theβfunction and the spectral density