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Triple Point of a Scalar Field Theory on a Fuzzy Sphere

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arxiv 1805.08111 v2 pith:WT4ZGEAJ submitted 2018-05-17 hep-th hep-lat

classification hep-thhep-lat
keywords phasepointtriplefieldfuzzymodelorderedphases
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The model of a scalar field with quartic self-interaction on the fuzzy sphere has three known phases: a uniformly ordered phase, a disordered phase and a non-uniformly ordered phase, the last of which has no classical counterpart. These three phases are expected to meet at a triple point. By studying the infinite matrix size limit, we locate the position of this triple point to within a small triangle in terms of the parameters of the model. We find the triple point is closer to the coordinate origin of the phase diagram than previous estimates but broadly consistent with recent analytic predictions.

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  1. Numerical Study of Scalar Field Theory on the Fuzzy Onion

    hep-th 2026-08 conditional novelty 6.0 of 10

    The fuzzy onion scalar field theory shows three fuzzy-sphere-like phases with aligned layers, dynamical phase transitions that blur boundaries, and two fitted phase-boundary curves of the form |b| = k1 + k2 sqrt(c).

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