Summary
It is argued that a true coupling constant must measure deviations from properties of a Gaussian measure. Such an observable is proposed and its variation with momentum and distance is determined numerically in the 2DO(2) andO(3) models. The running found in the two models is qualitatively similar, in spite of the fact that only the latter is asymptotically free. A comparison with the coupling constant proposed by Lüscher, Weisz and Wolff is made, and its implications for QCD are briefly discussed.
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Patrascioiu, A., Seiler, E. Running coupling constant in abelian and non-abelian models. Nuov Cim A 107, 765–773 (1994). https://doi.org/10.1007/BF02732084
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DOI: https://doi.org/10.1007/BF02732084