{"paper":{"title":"From 4d Yang-Mills to 2d $\\mathbb{CP}^{N-1}$ model: IR problem and confinement at weak coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Kazuya Yonekura, Masahito Yamazaki","submitted_at":"2017-04-19T18:00:02Z","abstract_excerpt":"We study four-dimensional $\\mathrm{SU}(N)$ Yang-Mills theory on $\\mathbb{R} \\times \\mathbb{T}^3=\\mathbb{R} \\times S^1_A \\times S^1_B \\times S^1_C$, with a twisted boundary condition by a $\\mathbb{Z}_N$ center symmetry imposed on $S^1_B \\times S^1_C$. This setup has no IR zero modes and hence is free from IR divergences which could spoil trans-series expansion for physical observables. Moreover, we show that the center symmetry is preserved at weak coupling regime. This is shown by first reducing the theory on $\\mathbb{T}^2=S_A \\times S_B$, to connect the model to the two-dimensional $\\mathbb{C"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05852","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":""},"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"}