Journal Article PUBDB-2025-00338

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Ginzburg-Landau description for multicritical Yang-Lee models

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2024
Springer Heidelberg

Journal of high energy physics 2024(8), 224 () [10.1007/JHEP08(2024)224]
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Report No.: DESY-24-032; arXiv:2404.06100

Abstract: We revisit and extend Fisher’s argument for a Ginzburg-Landau description of multicritical Yang-Lee models in terms of a single boson Lagrangian with potential φ$^{2}$(iφ)$^{n}$. We explicitly study the cases of n = 1, 2 by a Truncated Hamiltonian Approach based on the free massive boson perturbed by PT symmetric deformations, providing clear evidence of the spontaneous breaking of PT symmetry. For n = 1, the symmetric and the broken phases are separated by the critical point corresponding to the minimal model $ \mathcal{M}\left(2,5\right) $, while for n = 2, they are separated by a critical manifold corresponding to the minimal model $ \mathcal{M}\left(2,5\right) $ with $ \mathcal{M}\left(2,7\right) $ on its boundary. Our numerical analysis strongly supports our Ginzburg-Landau descriptions for multicritical Yang-Lee models.

Keyword(s): model: minimal ; boson: massive ; Hamiltonian formalism ; critical phenomena ; deformation ; spontaneous symmetry breaking ; PT symmetry ; Lee-Yang model ; Field Theories in Lower Dimensions ; Renormalization Group

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Note: 28 pages, 10 figures

Contributing Institute(s):
  1. Theorie-Gruppe (T)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
  2. DFG project G:(GEPRIS)390833306 - EXC 2121: Quantum Universe (390833306) (390833306)
Experiment(s):
  1. No specific instrument

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Ginzburg-Landau description for multicritical Yang-Lee models
[10.3204/PUBDB-2024-01104]  GO OpenAccess  Download fulltext Files  Download fulltextFulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS


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