{"paper":{"title":"Finite Size Scaling and Universality in SU(2) at Finite Temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"A. Denbleyker, A. Velytsky, Y. Meurice, Yuzhi Liu","submitted_at":"2009-11-10T05:15:09Z","abstract_excerpt":"We study the 4-th Binder cumulant on $4\\times{N_\\sigma}^3$ lattices for a pure SU(2) gauge theory. We use 20 data points for a sequence of ${N_\\sigma}$ in $\\beta$ intervals shrinking when ${N_\\sigma}$ increases, in order to reduce the nonlinear effects. Using a log-log fit of the slope versus ${N_\\sigma}$, we obtain the preliminary result $\\nu=0.637(11)$ in reasonably good agreement with the value for the 3D Ising model universality class. The corrections due to irrelevant directions appear to be dominated by a term proportional to ${N_\\sigma}^{-2.03(4)}$ which seems compatible with the breaki"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.1831","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"}