{"paper":{"title":"Critical behaviors as functions of the bare-mass","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th"],"primary_cat":"hep-lat","authors_text":"Hirofumi Yamada","submitted_at":"2013-03-15T09:41:06Z","abstract_excerpt":"In Ising model on the simple cubic lattice, we describe the inverse temperature \\beta in terms of the bare-mass M and study its critical behavior by the use of delta expansion from high temperature or large M side. In the vicinity of critical temperature \\beta_{c}, the expansion of \\beta in M has \\beta_{c} as the first term and M^{-1/2\\nu} as the leading correction. The estimation of \\beta_{c} in 1/M expansion is confronted with the leading and higher order corrections, even delta expansion is applied and the critical region emerges. To improve the estimation status of \\beta_{c}, we try to sup"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3714","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"}