Analytic perturbation theory in QCD and Schwinger's connection between the beta-function and the spectral density

Details Analytic perturbation theory in QCD and Schwinger's connection between the beta-function and the spectral density Analytic perturbation theory in QCD and Schwinger's connection between the beta-function and the spectral density

1996-11-26

arxiv.org/abs/hep-ph/9611438v1

Phys.Rev.D55:5295-5298,1997

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, 2 figures

Scientific paper

10.1103/PhysRevD.55.5295

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 $\beta$-function is proportional to the spectral density, which confirms a hypothesis due to Schwinger.

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