Two-point functions in boundary loop models
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915794850414592 |
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| author | Downing, Max Jacobsen, Jesper Lykke Nivesvivat, Rongvoram Saleur, Hubert |
| author_facet | Downing, Max Jacobsen, Jesper Lykke Nivesvivat, Rongvoram Saleur, Hubert |
| contents | Using techniques of conformal bootstrap, we propose analytical expressions for a large class of two-point functions of bulk fields in critical loop models defined on the upper-half plane. Our results include the two-point connectivities in the Fortuin--Kasteleyn random cluster model with both free and wired boundary conditions. We link the continuum expressions to lattice quantities by computing universal ratios of amplitudes for the two-point connectivities, and find excellent agreement with transfer-matrix numerics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_12000 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Two-point functions in boundary loop models Downing, Max Jacobsen, Jesper Lykke Nivesvivat, Rongvoram Saleur, Hubert Mathematical Physics Statistical Mechanics High Energy Physics - Theory Using techniques of conformal bootstrap, we propose analytical expressions for a large class of two-point functions of bulk fields in critical loop models defined on the upper-half plane. Our results include the two-point connectivities in the Fortuin--Kasteleyn random cluster model with both free and wired boundary conditions. We link the continuum expressions to lattice quantities by computing universal ratios of amplitudes for the two-point connectivities, and find excellent agreement with transfer-matrix numerics. |
| title | Two-point functions in boundary loop models |
| topic | Mathematical Physics Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2602.12000 |