{"paper":{"title":"Taming the 3D Wilson-Fisher Fixed Point via Nonlocal Effective Action","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Hyeon Jung Kim, Jinmo Bok, Ki-Seok Kim, Lemuel John Sese, Semin Park, Seung-Jong Yoo","submitted_at":"2026-05-18T09:54:21Z","abstract_excerpt":"We present a novel Renormalization Group (RG) framework based on a nonlocal effective action ansatz to tame the strong coupling dynamics of the three-dimensional relativistic $\\phi^{4}$ theory. By implementing a Hubbard-Stratonovich transformation, we decouple the quartic interaction into a system of the primary field $\\phi$ and an auxiliary field $\\varphi \\sim \\phi^2$. Rather than freezing the intermediate scaling dimensions, the nonlocality of our effective action allows both exponents $\\Delta_{\\phi}$ and $\\Delta_{\\varphi}$ to act as fully independent, unconstrained dynamical variables.This "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.18148","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/2605.18148/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"claim_evidence","ran_at":"2026-05-19T23:41:59.097129Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T23:33:35.375452Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"c464476af2a57f821ff9ba00de0134ab90c9ef3b7b0a42b05566fe1a79312200"},"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"}