Behavior near $\theta =\pi$ of the mass gap in the 2D O(3) non-linear sigma model

Abstract

The validity of the Haldane's conjecture entails that the mass gap of the 2-dimensional O(3) non-linear sigma model with a $\theta$-term must tend to zero as $\theta$ approaches the value $\pi$ by following a precise law. In the present paper we extract the related critical exponents by simulating the model at imaginary $\theta$.

24 pages, LaTeX source and 5 eps figures

References in corpus (2)

• Mass gap in the 2D O(3) non-linear sigma model with a theta=pi term
• Critical Behavior of CP^1 at theta = pi, Haldane's Conjecture and the Universality Class

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