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arXiv 0710.1507hep-latcond-mat.stat-mech
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CP ^1在θ = pi时的临界行为、Haldman猜想和普适类

Critical Behavior of CP^1 at theta = pi, Haldane's Conjecture and the Universality Class

V. Azcoiti, G. Di Carlo, A. Galante

摘要:

利用我们最近提出的一种分析含θ项系统的θ依赖性的方法,研究了CP ^1在θ = π时的临界行为。我们发现一个区域以外的强耦合制度,Halfman的猜想得到验证。然而,临界线不属于拓扑耦合k=1的Wess-Zumino-Novikov-Witten模型的普适类,因为它显示连续变化的临界指数。

英文摘要:

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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