{"paper":{"title":"Lattice ${\\mathbb C} P^{N-1}$ model with ${\\mathbb Z}_{N}$ twisted boundary condition: bions, adiabatic continuity and pseudo-entropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"Etsuko Itou, Muneto Nitta, Norisuke Sakai, Tatsuhiro Misumi, Toshiaki Fujimori","submitted_at":"2020-06-09T08:27:17Z","abstract_excerpt":"We investigate the lattice ${\\mathbb C} P^{N-1}$ sigma model on $S_{s}^{1}$(large) $\\times$ $S_{\\tau}^{1}$(small) with the ${\\mathbb Z}_{N}$ symmetric twisted boundary condition, where a sufficiently large ratio of the circumferences ($L_{s}\\gg L_{\\tau}$) is taken to approximate ${\\mathbb R} \\times S^1$. We find that the expectation value of the Polyakov loop, which is an order parameter of the ${\\mathbb Z}_N$ symmetry, remains consistent with zero ($|\\langle P\\rangle|\\sim 0$) from small to relatively large inverse coupling $\\beta$ (from large to small $L_{\\tau}$). As $\\beta$ increases, the di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.05106","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/2006.05106/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"}