Analytic perturbation theory in QCD and Schwinger’s connection between theβfunction and the spectral density

1996/11/26 by Kimball A. Milton, K. A. Milton, I. L. Solovtsov · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.55.5295

published as Phys.Rev.D55:5295-5298,1997 · 11 pages, 2 figures

arxiv created 1996/11/26 · openalex publication_date 1997/05/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We argue that a technique called analytic perturbation theory leads to a well-defined method for analytically continuing the running coupling constant from the spacelike to the timelike region, which allows us to give a self-consistent definition of the running coupling constant for timelike momentum. The corresponding \ensuremathβ function is proportional to the spectral density, which confirms a hypothesis due to Schwinger.

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