{"paper":{"title":"Correspondence between Feynman diagrams and operators in quantum field theory that emerges from tensor model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Mironov, A. Morozov, D. Vasiliev, H. Itoyama, N. Amburg, R. Yoshioka","submitted_at":"2019-11-24T17:24:36Z","abstract_excerpt":"A novel functorial relationship in perturbative quantum field theory is pointed out that associates Feynman diagrams (FD) having no external line in one theory ${\\bf Th}_1$ with singlet operators in another one ${\\bf Th}_2$ having an additional $U({\\cal N})$ symmetry and is illustrated by the case where ${\\bf Th}_1$ and ${\\bf Th}_2$ are respectively the rank $r-1$ and the rank $r$ complex tensor model. The values of FD in ${\\bf Th}_1$ agree with the large ${\\cal N}$ limit of the Gaussian average of those operators in ${\\bf Th}_2$. The recursive shift in rank by this FD functor converts numbers"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.10574","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/1911.10574/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"}