{"paper":{"title":"Critical Exponents in Two Dimensions 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":"2013-12-04T09:03:01Z","abstract_excerpt":"The critical behavior of two-dimensional $n$-vector $\\lambda\\phi^4$ field model is studied within the framework of pseudo-$\\epsilon$ expansion approach. Pseudo-$\\epsilon$ expansions for Wilson fixed point location $g^*$ and critical exponents originating from five-loop 2D renormalization group series are derived. Numerical estimates obtained within Pad\\'e and Pad\\'e-Borel resummation procedures as well as by direct summation are presented for $n = 1$, $n = 0$ and $n = -1$, i. e. for the models which are exactly solvable. The pseudo-$\\epsilon$ expansions for $g^*$, critical exponents $\\gamma$ a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1062","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"}