Testing fixed points in the 2D O(3) non-linear sigma model

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Latex, 7 pgs, 4 eps-figures. Added more analysis on the KT-transition. 4-loop beta function contains corrections from D.-S.Shi

Scientific paper

10.1103/PhysRevD.59.067703

Using high statistic numerical results we investigate the properties of the
O(3) non-linear 2D sigma-model. Our main concern is the detection of an
hypothetical Kosterlitz-Thouless-like (KT) phase transition which would
contradict the asymptotic freedom scenario. Our results do not support such a
KT-like phase transition.

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