Critical Ising correlations on a torus
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912427449253888 |
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| author | Bayraktaroglu, Baran Izyurov, Konstantin |
| author_facet | Bayraktaroglu, Baran Izyurov, Konstantin |
| contents | We prove convergence of multi-point spin correlations in the critical Ising model on a torus. Via Pfaffian identities, this also implies convergence of other correlations, including correlations of spins with fermionic and energy observables. We obtain explicit formulae for the scaling limits in terms of theta functions, verifying the predictions in the physics literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_11324 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Critical Ising correlations on a torus Bayraktaroglu, Baran Izyurov, Konstantin Mathematical Physics Probability 82B20 We prove convergence of multi-point spin correlations in the critical Ising model on a torus. Via Pfaffian identities, this also implies convergence of other correlations, including correlations of spins with fermionic and energy observables. We obtain explicit formulae for the scaling limits in terms of theta functions, verifying the predictions in the physics literature. |
| title | Critical Ising correlations on a torus |
| topic | Mathematical Physics Probability 82B20 |
| url | https://arxiv.org/abs/2506.11324 |