{"paper":{"title":"The Galois coaction on $\\phi^4$ periods","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","math.NT"],"primary_cat":"hep-th","authors_text":"Erik Panzer, Oliver Schnetz","submitted_at":"2016-03-14T14:54:30Z","abstract_excerpt":"We report on calculations of Feynman periods of primitive log-divergent $\\phi^4$ graphs up to eleven loops. The structure of $\\phi^4$ periods is described by a series of conjectures. In particular, we discuss the possibility that $\\phi^4$ periods are a comodule under the Galois coaction. Finally, we compare the results with the periods of primitive log-divergent non-$\\phi^4$ graphs up to eight loops and find remarkable differences to $\\phi^4$ periods. Explicit results for all periods we could compute are provided in ancillary files."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.04289","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"}