Absence of Asymptotic Freedom in Non-Abelian Models

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dc.creatorPatrascioiu, A.
dc.creatorSeiler, E.
dc.date2000-02-18
dc.date.accessioned2026-07-07T04:09:30Z
dc.date.available2026-07-07T04:09:30Z
dc.descriptionThe percolation properties of equatorial strips of the two dimensional O(3) nonlinear $σ$ model are investigated numerically. Convincing evidence is found that a sufficently narrow strip does not percolate at arbitrarily low temperatures. Rigorous arguments are used to show that this result implies both the presence of a massless phase at low temperature and lack of asymptotic freedom in the massive continuum limit. A heuristic estimate of the transition temperature is given which is consistent with the numerical data.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/hep-th/0002153
dc.identifierhttp://arxiv.org/abs/hep-th/0002153
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/49872
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.subjectMathematical Physics
dc.titleAbsence of Asymptotic Freedom in Non-Abelian Models
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