Analytic perturbation theory in QCD and Schwinger’s connection between thefunction and the spectral density
- 1 May 1997
- journal article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 55 (9) , 5295-5298
- https://doi.org/10.1103/physrevd.55.5295
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 $\beta$-function is proportional to the spectral density, which confirms a hypothesis due to Schwinger.Comment: 11 pages, 2 figureKeywords
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