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

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

2007-10-08

arxiv.org/abs/0710.1507v1

Phys.Rev.Lett.98:257203,2007

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.98.257203

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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