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On the spin interface distribution for non-integrable variants of the two-dimensional Ising model
by Rafael L. Greenblatt, Eveliina Peltola
Submission summary
| Authors (as registered SciPost users): | Rafael Leon Greenblatt |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2404.12375v3 (pdf) |
| Date submitted: | 2024-10-18 11:00 |
| Submitted by: | Greenblatt, Rafael Leon |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We point out that the construction of a martingale observable describing the spin interface of the two-dimensional Ising model extends to a class of non-integrable variants of the two-dimensional Ising model, and express it in terms of Grassmann integrals. Under a conjecture about the scaling limit of this object, which is similar to some results recently obtained using constructive renormalization group methods, this would imply that the distribution of the interface at criticality has the same scaling limit as in the integrable model: Schramm-Loewner evolution SLE(3).
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Current status:
In refereeing