{"paper":{"title":"Consistency of $\\chi$SB in chiral Yang-Mills theory with adiabatic continuity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Chao-Hsiang Sheu, Mikhail Shifman","submitted_at":"2022-12-30T15:57:47Z","abstract_excerpt":"We study the pattern of chiral symmetry breaking ($\\chi$SB) in the $\\psi\\chi\\eta$ model (with the chiral fermion sector containing $ \\psi^{\\{ij\\}}$, $\\chi_{[ij]}$, and $\\eta_{i}^{A}$, see [1]) on $\\mathbb{R}^3 \\times S^{1}_{L}$ and derive implications to $\\mathbb{R}^4$ physics. Center-symmetric vacua are stabilized by a double-trace deformation. With the center symmetry maintained at small $L(S^1)\\ll \\Lambda^{-1}$, i.e. at weak coupling, no phase transitions are expected in passing to large $L(S^1)\\gg \\Lambda^{-1}$ (here $\\Lambda$ is the dynamical Yang-Mills scale). Starting with the small $L$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.14794","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/2212.14794/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"}