Ginzburg-Landau description for multicritical Yang-Lee models
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909289327624192 |
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| author | Lencsés, Máté Miscioscia, Alessio Mussardo, Giuseppe Takács, Gábor |
| author_facet | Lencsés, Máté Miscioscia, Alessio Mussardo, Giuseppe Takács, Gábor |
| contents | 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 $φ^2 (i φ)^n$. We explicitly study the cases of $n=1,2$ by a Truncated Hamiltonian Approach based on the free massive boson perturbed by $\boldsymbol P \boldsymbol T$ symmetric deformations, providing clear evidence of the spontaneous breaking of $\boldsymbol P \boldsymbol T$ symmetry. For $n=1$, the symmetric and the broken phases are separated by the critical point corresponding to the minimal model $\mathcal M(2,5)$, while for $n=2$, they are separated by a critical manifold corresponding to the minimal model $\mathcal M(2,5)$ with $\mathcal M(2,7)$ on its boundary. Our numerical analysis strongly supports our Ginzburg-Landau descriptions for multicritical Yang-Lee models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06100 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ginzburg-Landau description for multicritical Yang-Lee models Lencsés, Máté Miscioscia, Alessio Mussardo, Giuseppe Takács, Gábor Statistical Mechanics High Energy Physics - Theory 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 $φ^2 (i φ)^n$. We explicitly study the cases of $n=1,2$ by a Truncated Hamiltonian Approach based on the free massive boson perturbed by $\boldsymbol P \boldsymbol T$ symmetric deformations, providing clear evidence of the spontaneous breaking of $\boldsymbol P \boldsymbol T$ symmetry. For $n=1$, the symmetric and the broken phases are separated by the critical point corresponding to the minimal model $\mathcal M(2,5)$, while for $n=2$, they are separated by a critical manifold corresponding to the minimal model $\mathcal M(2,5)$ with $\mathcal M(2,7)$ on its boundary. Our numerical analysis strongly supports our Ginzburg-Landau descriptions for multicritical Yang-Lee models. |
| title | Ginzburg-Landau description for multicritical Yang-Lee models |
| topic | Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.06100 |