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| Journal Article | PUBDB-2025-00338 |
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2024
Springer
Heidelberg
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Please use a persistent id in citations: doi:10.1007/JHEP08(2024)224 doi:10.3204/PUBDB-2025-00338
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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Ginzburg-Landau description for multicritical Yang-Lee models
[10.3204/PUBDB-2024-01104]
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