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Behavior near $\theta=\pi$ of the mass gap in the 2D O(3) non-linear sigma model

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arxiv 1409.1704 v1 pith:HRA7PIQQ submitted 2014-09-05 hep-lat cond-mat.stat-mechhep-th

B. Alles , M. Giordano , A. Papa This is my paper · ORCID
classification hep-latcond-mat.stat-mechhep-th
keywords thetamodelmassnon-linearsigmaapproachesbehaviorconjecture
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abstract

The validity of the Haldane's conjecture entails that the mass gap of the 2-dimensional O(3) non-linear sigma model with a $\theta$-term must tend to zero as $\theta$ approaches the value $\pi$ by following a precise law. In the present paper we extract the related critical exponents by simulating the model at imaginary $\theta$.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Evidence of a CP broken deconfined phase in 4D SU(2) Yang-Mills theory at $\theta =\pi$ from imaginary $\theta$ simulations

    hep-th 2024-12 conditional novelty 7.0 of 10

    Lattice simulations with analytic continuation suggest that SU(2) Yang-Mills has a deconfined phase with spontaneously broken CP symmetry at theta=pi.

  2. The imaginary-$\theta$ dependence of the SU($N$) spectrum

    hep-lat 2024-11 conditional novelty 4.0 of 10

    The theta-squared curvature of the SU(3) glueball mass and string tension is measured in the continuum, and the N=3 and N=6 data support the expected large-N 1/N^2 scaling.

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