{"paper":{"title":"Massive Scaling Limit of the Ising Model: Subcritical Analysis and Isomonodromy","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"S. C. Park","submitted_at":"2018-11-16T00:21:44Z","abstract_excerpt":"We study the spin n-point functions of the planar Ising model on a simply connected domain \\Omega discretised by the square lattice \\delta\\mathbb{Z}^{2} under near-critical scaling limit. While the scaling limit on the full-plane \\mathbb{C} has been analysed in terms of a fermionic field theory, the limit in general \\Omega has not been studied. We will show that, in a massive scaling limit wherein the inverse temperature is scaled \\beta\\sim\\beta_{c}-m_{0}\\delta for a constant m_{0}<0, the renormalised spin correlations converge to a continuous quantity determined by a boundary value problem se"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06636","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}