{"paper":{"title":"Pseudo-$\\epsilon$ Expansion and Renormalized Coupling Constants at Criticality","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":"2014-02-14T17:00:09Z","abstract_excerpt":"Universal values of dimensional effective coupling constants $g_{2k}$ that determine nonlinear susceptibilities $\\chi_{2k}$ and enter the scaling equation of state are calculated for $n$-vector field theory within the pseudo-$\\epsilon$ expansion approach. Pseudo-$\\epsilon$ expansions for $g_6$ and $g_8$ at criticality are derived for arbitrary $n$. Analogous series for ratios $R_6 = g_6/g_4^2$ and $R_8 = g_8/g_4^3$ figuring in the equation of state are also found and the pseudo-$\\epsilon$ expansion for Wilson fixed point location $g_{4}^*$ descending from the six-loop RG expansion for $\\beta$-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3531","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"}