Using an approach to analyze the $\theta$ dependence of systems with a $\theta$ term we recently proposed, the critical behavior of CP^1 at $\theta=\pi$ is studied. We find a region outside the strong coupling regime where Haldane’s conjecture is verified. The critical line, however, does not belong to the universality class of the Wess-Zumino-Novikov-Witten model at topological coupling k = 1 since it shows continuously varying critical exponents.

### Critical behavior of CP1 at theta=pi, Haldane's conjecture, and the relevant universality class

#### Abstract

Using an approach to analyze the $\theta$ dependence of systems with a $\theta$ term we recently proposed, the critical behavior of CP^1 at $\theta=\pi$ is studied. We find a region outside the strong coupling regime where Haldane’s conjecture is verified. The critical line, however, does not belong to the universality class of the Wess-Zumino-Novikov-Witten model at topological coupling k = 1 since it shows continuously varying critical exponents.
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2007
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/874
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