{"paper":{"title":"Exact Schwinger functions for a class of bounded interactions in $d\\geq 2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Wojciech Dybalski","submitted_at":"2025-02-11T13:32:13Z","abstract_excerpt":"We consider a scalar Euclidean QFT with interaction given by a bounded, measurable function $V$ such that $V^{\\pm}:=\\lim_{w\\to \\pm\\infty}V(w)$ exist. We find a field renormalization such that all the $n$-point connected Schwinger functions for $n\\neq 2$ exist non-perturbatively in the UV limit. They coincide with the tree-level one-particle irreducible Schwinger functions of the $\\mathrm{erf}(\\phi/\\sqrt{2})$ interaction with a coupling constant $\\frac{1}{2} (V^+ - V^-)$. By a slight modification of our construction we can change this coupling constant to $\\frac{1}{2} (V_+ - V_-)$, where $V_{\\p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.07546","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.07546/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"}