Does the crossover from perturbative to nonperturbative physics in QCD become a phase transition at infinite N ?

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dc.creatorKiskis, J.
dc.creatorNarayanan, R.
dc.creatorNeuberger, H.
dc.date2003-08-27
dc.date.accessioned2026-07-07T11:30:43Z
dc.date.available2026-07-07T11:30:43Z
dc.descriptionWe present numerical evidence that, in the planar limit, four dimensional Euclidean Yang-Mills theory undergoes a phase transition on a finite symmetrical four-torus when the length of the sides $l$ decreases to a critical value $l_c$. For $l>l_c$ continuum reduction holds so that at leading order in $N$, there are no finite size effects in Wilson and Polyakov loops. This produces the exciting possibility of solving numerically for the meson sector of planar QCD at a cost substantially smaller than that of quenched SU(3).
dc.description8p, 5 figures, revtex4
dc.identifierhttps://arxiv.org/abs/hep-lat/0308033
dc.identifierhttp://arxiv.org/abs/hep-lat/0308033
dc.identifierPhys.Lett.B574:65-74,2003
dc.identifierdoi:10.1016/j.physletb.2003.08.070
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197067
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleDoes the crossover from perturbative to nonperturbative physics in QCD become a phase transition at infinite N ?
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