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Critical behaviour of the O(3) nonlinear sigma model with topological term at theta=pi from numerical simulations

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arxiv 1207.4905 v2 pith:OGO53E3X submitted 2012-07-20 hep-lat

Vicente Azcoiti , Giuseppe Di Carlo , Eduardo Follana , Matteo Giordano This is my paper · ORCID
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keywords thetacriticalmodelvaluesbehaviournonlinearnumericalsigma
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We investigate the critical behaviour at theta=pi of the two-dimensional O(3) nonlinear sigma model with topological term on the lattice. Our method is based on numerical simulations at imaginary values of theta, and on scaling transformations that allow a controlled analytic continuation to real values of theta. Our results are compatible with a second order phase transition, with the critical exponent of the SU(2)_1 Wess-Zumino-Novikov-Witten model, for sufficiently small values of the coupling.

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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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