Boundary operator expansion and extraordinary phase transition in the tricritical O(N) model
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| Format: | Preprint |
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2025
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| _version_ | 1866916814151221248 |
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| author | Sun, Xinyu Jian, Shao-Kai |
| author_facet | Sun, Xinyu Jian, Shao-Kai |
| contents | We study the boundary extraordinary transition of a three-dimensional (3D) tricritical $O(N)$ model. We first compute the mean-field Green's function with a general coupling of $|\vec ϕ|^{2n}$ (with $n=3$ corresponding to the tricritical model) at the extraordinary phase transition. Then, using layer susceptibility, we obtain the boundary operator expansion for the transverse and longitudinal modes within the $ε=3 - d$ expansion. Based on these results, we demonstrate that the tricritical point exhibits an extraordinary transition characterized by an ordered boundary for any $N$. This provides the first nontrivial example of continuous symmetry breaking in 2D in the context of boundary criticality. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_06287 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundary operator expansion and extraordinary phase transition in the tricritical O(N) model Sun, Xinyu Jian, Shao-Kai Strongly Correlated Electrons Statistical Mechanics High Energy Physics - Theory We study the boundary extraordinary transition of a three-dimensional (3D) tricritical $O(N)$ model. We first compute the mean-field Green's function with a general coupling of $|\vec ϕ|^{2n}$ (with $n=3$ corresponding to the tricritical model) at the extraordinary phase transition. Then, using layer susceptibility, we obtain the boundary operator expansion for the transverse and longitudinal modes within the $ε=3 - d$ expansion. Based on these results, we demonstrate that the tricritical point exhibits an extraordinary transition characterized by an ordered boundary for any $N$. This provides the first nontrivial example of continuous symmetry breaking in 2D in the context of boundary criticality. |
| title | Boundary operator expansion and extraordinary phase transition in the tricritical O(N) model |
| topic | Strongly Correlated Electrons Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.06287 |