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

Abstract

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.

Latex, 7 pgs, 4 eps-figures. Added more analysis on the KT-transition. 4-loop beta function contains corrections from D.-S.Shin (hep-lat/9810025). In a note-added we comment on the consequences of these corrections on our previous reference [16]

References in corpus (1)

• Corrections to Finite-Size Scaling in the Lattice N-Vector Model for Infinite N

Cited by in corpus (10)

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• Percolation properties of the 2D Heisenberg model
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