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High Energy Physics - Theory

arXiv:1805.08111 (hep-th)
[Submitted on 17 May 2018 (v1), last revised 21 Aug 2018 (this version, v2)]

Title:Triple Point of a Scalar Field Theory on a Fuzzy Sphere

Authors:Samuel Kováčik, Denjoe O'Connor
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Abstract: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.
Comments: 12 pages, 5 figures
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Lattice (hep-lat)
Report number: DIAS-STP-18-02
Cite as: arXiv:1805.08111 [hep-th]
  (or arXiv:1805.08111v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1805.08111
Related DOI: https://doi.org/10.1007/JHEP10%282018%29010

Submission history

From: Samuel Kováčik [view email]
[v1] Thu, 17 May 2018 12:12:08 UTC (286 KB)
[v2] Tue, 21 Aug 2018 09:49:31 UTC (295 KB)
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