Instanton size distribution: repulsion or the infrared fixed point?

Details Instanton size distribution: repulsion or the infrared fixed point? Instanton size distribution: repulsion or the infrared fixed point?

1995-03-29

arxiv.org/abs/hep-ph/9503467v2

Phys.Rev. D52 (1995) 5370-5373

Physics

High Energy Physics

High Energy Physics - Phenomenology

Figures as .ps file

Scientific paper

10.1103/PhysRevD.52.5370

We discuss available information about the instanton size distribution $d(\rho)$, which comes from lattice simulations and the interacting instanton liquid model. Not only they are remarkably consistent, but one can also reproduce $d(\rho)$ with an alternative idea, based on the infrared fixed point. We show, that lattice non-perturbative beta-function (for $bare$ charge renormalization) also suggests such a hint. We also discuss whether it is possible to reconcile the instanton physics with reasonable large-number-of-colors limit, concluding that our fits for SU(2) and SU(3) theories are actually very close to the critical value $8\pi^2/g^2= N_c*5.4$ when it is the case.

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