{"paper":{"title":"Confinement-Deconfinement Crossover in the Lattice $\\mathbb{C}P^{N-1}$ Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.supr-con","hep-lat"],"primary_cat":"hep-th","authors_text":"Etsuko Itou, Muneto Nitta, Norisuke Sakai, Tatsuhiro Misumi, Toshiaki Fujimori","submitted_at":"2019-07-16T10:02:56Z","abstract_excerpt":"The $\\mathbb{C}P^{N-1}$ sigma model at finite temperature is studied using lattice Monte Carlo simulations on $S_{s}^{1} \\times S_{\\tau}^{1}$ with radii $L_{s}$ and $L_{\\tau}$, respectively, where the ratio of the circumferences is taken to be sufficiently large ($L_{s}/L_{\\tau} \\gg 1$) to simulate the model on $\\mathbb{R} \\times S^1$. We show that the expectation value of the Polyakov loop undergoes a deconfinement crossover as $L_{\\tau}$ is decreased, where the peak of the associated susceptibility gets sharper for larger $N$. We find that the global PSU($N$)=SU($N$)$/{\\mathbb Z}_{N}$ symmet"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.06925","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/1907.06925/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"}