{"paper":{"title":"Theta dependence of SU(N) gauge theories","license":"","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"Ettore Vicari, Haralambos Panagopoulos, Luigi Del Debbio","submitted_at":"2002-04-16T13:30:34Z","abstract_excerpt":"We study the $\\theta$ dependence of four-dimensional SU($N$) gauge theories, for $N\\geq 3$ and in the large-N limit. We use numerical simulations of the Wilson lattice formulation of gauge theories to compute the first few terms of the expansion of the ground-state energy $F(\\theta)$ around $\\theta=0$, $F(\\theta)-F(0) = A_2 \\theta^2 (1 + b_2 \\theta^2 + ...)$. Our results support Witten's conjecture: $F(\\theta)-F(0) = {\\cal A} \\theta^2 + O(1/N)$ for sufficiently small values of $\\theta$, $\\theta < \\pi$.\n  Indeed we verify that the topological susceptibility has a nonzero large-N limit $\\chi_\\in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0204125","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/hep-th/0204125/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"}