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arXiv · hep-lat/9706011

Is the 2D O(3) Nonlinear $σ$ Model Asymptotically Free?

Adrian Patrascioiu·Erhard Seiler
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Abstract

We report the results of a Monte Carlo study of the continuum limit of the two dimensional O(3) non-linear $σ$ model. The notable finding is that it agrees very well with both the prediction inspired by Zamolodchikovs' S-matrix ansatz and with the continuum limit of the dodecahedron spin model. The latter finding renders the existence of asymptotic freedom in the O(3) model rather unlikely.

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Adrian Patrascioiu, Erhard Seiler. 1997-06-13. Is the 2D O(3) Nonlinear $σ$ Model Asymptotically Free?. https://doi.org/10.1016/s0370-2693(98)00528-0

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