The strong coupling constant at small momentum as an instanton detector

Ph. Boucaud , F. de Soto , A. Le Yaouanc , J.P. Leroy , J. Micheli , H. Moutarde , O. P\`ene , J. Rodr\'iguez-Quintero

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classification ✦ hep-ph

keywords instantondensitysmallalphacomputedconfigurationsconstantcoupling

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We present a study of $\alpha_{MOM}(p)$ at small p computed from the lattice. It shows a dramatic $\propto p^4$ law which can be understood within an instanton liquid model. In this framework the prefactor gives a direct measure of the instanton density in thermalised configurations. A preliminary result for this density is 5.27(4) fm^{-4}.

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The strong coupling constant at small momentum as an instanton detector

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