The stability of the O(N) invariant fixed point in three dimensions

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dc.creatorCaselle, M.
dc.creatorHasenbusch, M.
dc.date1997-11-10
dc.date.accessioned2026-07-07T10:51:41Z
dc.date.available2026-07-07T10:51:41Z
dc.descriptionWe study the stability of the O(N) fixed point in three dimensions under perturbations of the cubic type. We address this problem in the three cases $N=2,3,4$ by using finite size scaling techniques and high precision Monte Carlo simulations. It is well know that there is a critical value $2<N_c<4$ below which the O(N) fixed point is stable and above which the cubic fixed point becomes the stable one. While we cannot exclude that $N_c<3$, as recently claimed by Kleinert and collaborators, our analysis strongly suggests that $N_c$ coincides with 3.
dc.descriptionlatex file of 18 pages plus three ps figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9711080
dc.identifierhttp://arxiv.org/abs/cond-mat/9711080
dc.identifierJ.Phys.A31:4603-4617,1998
dc.identifierdoi:10.1088/0305-4470/31/20/004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184904
dc.subjectCondensed Matter
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleThe stability of the O(N) invariant fixed point in three dimensions
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