{"paper":{"title":"Fisher Exponent from Pseudo-$\\epsilon$ Expansion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph","hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"A. I. Sokolov, M. A. Nikitina","submitted_at":"2014-02-17T05:36:29Z","abstract_excerpt":"Critical exponent $\\eta$ for three-dimensional systems with $n$-vector order parameter is evaluated in the frame of pseudo-$\\epsilon$ expansion approach. Pseudo-$\\epsilon$ expansion ($\\tau$-series) for $\\eta$ found up to $\\tau^7$ term for $n$ = 0, 1, 2, 3 and within $\\tau^6$ order for general $n$ is shown to have a structure rather favorable for getting numerical estimates. Use of Pad\\'e approximants and direct summation of $\\tau$-series result in iteration procedures rapidly converging to the asymptotic values that are very close to most reliable numerical estimates of $\\eta$ known today. The"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3894","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"}