{"paper":{"title":"Five-loop renormalization group functions of ${O}(n)$-symmetric $\\phi^4$-theory and $\\ep$-expansions of critical exponents up to $\\ep^5$","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"H. Kleinert, J. Neu, K.G. Chetyrkin, Moscow), S.A. Larin (Institute for Nuclear Research, V. Schulte-Frohlinde (Freie Universit\"at Berlin)","submitted_at":"1995-04-01T10:46:26Z","abstract_excerpt":"Motivated by the discovery of errors in six of the 135 diagrams in the published five-loop expansions of the $\\beta$-function and the anomalous dimensions of the ${O}(n)$-symmetric $\\phi^4$-theory in $D=4-\\ep$ dimensions we present the results of a full analytic reevaluation of all diagrams. The divergences are removed by minimal subtraction and $\\ep$-expansions are given for the critical exponents $\\eta$, $\\nu$, and $\\omega$ up to order $\\epsilon^5$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9503230","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9503230/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}