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arXiv · hep-ph/9611438

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

K. A. Milton·I. L. Solovtsov
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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 $β$-function is proportional to the spectral density, which confirms a hypothesis due to Schwinger.

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K. A. Milton, I. L. Solovtsov. 1996-11-26. Analytic perturbation theory in QCD and Schwinger's connection between the beta-function and the spectral density. https://doi.org/10.1103/physrevd.55.5295

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