{"paper":{"title":"Zeros of the Potts Model Partition Function in the Large-$q$ Limit","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Robert Shrock, Shu-Chiuan Chang","submitted_at":"2005-11-29T02:58:25Z","abstract_excerpt":"We study the zeros of the $q$-state Potts model partition function $Z(\\Lambda,q,v)$ for large $q$, where $v$ is the temperature variable and $\\Lambda$ is a section of a regular $d$-dimensional lattice with coordination number $\\kappa_\\Lambda$ and various boundary conditions. We consider the simultaneous thermodynamic limit and $q \\to \\infty$ limit and show that when these limits are taken appropriately, the zeros lie on the unit circle $|x_\\Lambda|=1$ in the complex $x_\\Lambda$ plane, where $x_\\Lambda=v q^{-2/\\kappa_\\Lambda}$. For large finite sections of some lattices we also determine the ci"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0511685","kind":"arxiv","version":1},"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"}