{"paper":{"title":"The large charge limit of scalar field theories and the Wilson-Fisher fixed point at $\\epsilon=0$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"D. Rodriguez-Gomez, G. Arias-Tamargo, J.G. Russo","submitted_at":"2019-08-29T16:53:49Z","abstract_excerpt":"We study the sector of large charge operators $\\phi^n$ ($\\phi$ being the complexified scalar field) in the $O(2)$ Wilson-Fisher fixed point in $4-\\epsilon$ dimensions that emerges when the coupling takes the critical value $g\\sim \\epsilon$. We show that, in the limit $g\\to 0$, when the theory naively approaches the gaussian fixed point, the sector of operators with $n\\to \\infty $ at fixed $g\\,n^2\\equiv \\lambda$ remains non-trivial. Surprisingly, one can compute the exact 2-point function and thereby the non-trivial anomalous dimension of the operator $\\phi^n$ by a full resummation of Feynman d"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.11347","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.11347/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"}