{"paper":{"title":"The \\beta-function in duality-covariant noncommutative \\phi^4-theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Harald Grosse (Vienna), Raimar Wulkenhaar (Leipzig)","submitted_at":"2004-02-12T15:31:44Z","abstract_excerpt":"We compute the one-loop \\beta-functions describing the renormalisation of the coupling constant \\lambda and the frequency parameter \\Omega for the real four-dimensional duality-covariant noncommutative \\phi^4-model, which is renormalisable to all orders. The contribution from the one-loop four-point function is reduced by the one-loop wavefunction renormalisation, but the \\beta_\\lambda-function remains non-negative. Both \\beta_\\lambda and \\beta_\\Omega vanish at the one-loop level for the duality-invariant model characterised by \\Omega=1. Moreover, \\beta_\\Omega also vanishes in the limit \\Omega"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0402093","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/0402093/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"}