{"paper":{"title":"Critical Exponents of Superfluid Helium and 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":"2014-02-18T12:58:37Z","abstract_excerpt":"Pseudo-$\\epsilon$ expansions ($\\tau$-series) for critical exponents of 3D XY model describing $\\lambda$-transition in liquid helium are derived up to $\\tau^6$ terms. Numerical estimates extracted from the $\\tau$-series obtained using Pad\\'e-Borel resummation technique, scaling relations and seven-loop ($\\tau^7$) estimate for the Fisher exponent $\\eta$ are presented including those for exponents $\\alpha$ and $\\nu$ measured in experiments with record accuracy. For the exponent $\\alpha$ the procedure argued to be most reliable gives $\\alpha= -0.0117$. This number is very close to the most accurat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4318","kind":"arxiv","version":3},"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"}