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Ginzburg-Landau description for multicritical Yang-Lee models

Lencsés, Máté and Miscioscia, Alessio and Mussardo, Giuseppe and Takács, Gábor (2024) Ginzburg-Landau description for multicritical Yang-Lee models. JOURNAL OF HIGH ENERGY PHYSICS, 2024 (8). ISSN 1126-6708

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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) M 2 5 , while for n = 2, they are separated by a critical manifold corresponding to the minimal model \mathcal{M}\left(2,5\right) M 2 5 with \mathcal{M}\left(2,7\right) M 2 7 on its boundary. Our numerical analysis strongly supports our Ginzburg-Landau descriptions for multicritical Yang-Lee models.

Item Type: Article
Additional Information: HUN-REN Wigner RCP, Konkoly-Thege Miklós út 29-33, Budapest, 1121, Hungary Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, Hamburg, 22607, Germany SISSA & amp; INFN, Sezione di Trieste, via Bonomea 265, Trieste, I-34136, Italy Department of Theoretical Physics, Institute of Physics, Budapest University of Technology and Economics, H-1111 Budapest, Műegyetem rkp. 3, Budapest, H-1111, Hungary MTA-BME Quantum Correlations Group (ELKH), Institute of Physics, Budapest University of Technology and Economics, Műegyetem rkp. 3, Budapest, H-1111, Hungary BME-MTA Momentum Statistical Field Theory Research Group, Institute of Physics, Budapest University of Technology and Economics, Műegyetem rkp. 3, Budapest, H-1111, Hungary Export Date: 13 September 2024 Correspondence Address: Miscioscia, A.; Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, Germany; email: alessio.miscioscia@desy.de
Uncontrolled Keywords: Condensed Matter - Statistical Mechanics; High Energy Physics - Theory;
Subjects: Q Science / természettudomány > QC Physics / fizika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 27 Sep 2024 12:55
Last Modified: 27 Sep 2024 12:55
URI: https://real.mtak.hu/id/eprint/206217

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