The emptiness formation probability, and representations for nonlocal correlation functions, of the 20-vertex model
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866911022282964992 |
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| author | Rigas, Pete |
| author_facet | Rigas, Pete |
| contents | We study the emptiness formation probability, along with various representations for nonlocal correlation functions, of the 20-vertex model. In doing so, we leverage previous arguments for representations of nonlocal correlation functions for the 6-vertex model, under domain-wall boundary conditions, due to Colomo, Di Giulio, and Pronko, in addition to the inhomogeneous, and homogeneous, determinantal representations for the 20-vertex partition function due to Di Francesco, also under domain-wall boundary conditions. By taking a product of row configuration probabilities, we obtain a desired contour integral representation for nonlocal correlations from a determinantal representation. Finally, a counterpart of the emptiness formation probability is introduced for the 20-vertex model. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_05309 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The emptiness formation probability, and representations for nonlocal correlation functions, of the 20-vertex model Rigas, Pete Mathematical Physics Probability 34L25, 60K35 We study the emptiness formation probability, along with various representations for nonlocal correlation functions, of the 20-vertex model. In doing so, we leverage previous arguments for representations of nonlocal correlation functions for the 6-vertex model, under domain-wall boundary conditions, due to Colomo, Di Giulio, and Pronko, in addition to the inhomogeneous, and homogeneous, determinantal representations for the 20-vertex partition function due to Di Francesco, also under domain-wall boundary conditions. By taking a product of row configuration probabilities, we obtain a desired contour integral representation for nonlocal correlations from a determinantal representation. Finally, a counterpart of the emptiness formation probability is introduced for the 20-vertex model. |
| title | The emptiness formation probability, and representations for nonlocal correlation functions, of the 20-vertex model |
| topic | Mathematical Physics Probability 34L25, 60K35 |
| url | https://arxiv.org/abs/2409.05309 |