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Mass gap in the 2D O(3) non-linear sigma model with a theta=pi term

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arxiv 0711.1496 v2 pith:ONG4UP6T submitted 2007-11-09 cond-mat.stat-mech cond-mat.otherhep-lat

B. Alles , A. Papa This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.otherhep-lat
keywords thetamodelanalyticbeencontinuationimaginarynon-linearnumerical
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By analytic continuation to real theta of data obtained from numerical simulation at imaginary theta we study the Haldane conjecture and show that the O(3) non-linear sigma model with a theta term in 2 dimensions becomes massless at theta=3.10(5). A modified cluster algorithm has been introduced to simulate the model with imaginary theta. Two different definitions of the topological charge on the lattice have been used; one of them needs renormalization to match the continuum operator. Our work also offers a successful test for numerical methods based on analytic continuation.

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Cited by 1 Pith paper

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  1. Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group

    hep-lat 2025-02 conditional novelty 6.0 of 10

    Numerical tensor-network results locate a critical point at theta=pi in the 2D CP(1) model, consistent with Haldane's conjecture.

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