{"paper":{"title":"Ising Field Theory in a magnetic field: $\\varphi^3$ coupling at $T > T_c$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alexander Zamolodchikov, Hao-Lan Xu","submitted_at":"2023-04-16T20:54:53Z","abstract_excerpt":"We study the \"three particle coupling\" $\\Gamma_{11}^{1}(\\xi)$, in $2d$ Ising Field Theory in a magnetic field, as the function of the scaling parameter $\\xi:=h/(-m)^{15/8}$, where $m \\sim T_c-T$ and $h \\sim H$ are scaled deviation from the critical temperature and scaled external field, respectively. The \"$\\varphi^3$ coupling\" $\\Gamma_{11}^1$ is defined in terms of the residue of the $2 \\to 2$ elastic scattering amplitude at its pole associated with the lightest particle itself. We limit attention to the High-Temperature domain, so that $m$ is negative. We suggest \"standard analyticity\": $(\\Ga"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.07886","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/2304.07886/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"}