{"paper":{"title":"Dual simulation of the 2d U(1) gauge Higgs model at topological angle $\\theta = \\pi\\,$: Critical endpoint behavior","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cond-mat.str-el"],"primary_cat":"hep-lat","authors_text":"Christof Gattringer, Daniel G\\\"oschl, Tin Sulejmanpasic","submitted_at":"2018-07-20T11:27:20Z","abstract_excerpt":"We simulate the 2d U(1) gauge Higgs model on the lattice with a topological angle $\\theta$. The corresponding complex action problem is overcome by using a dual representation based on the Villain action appropriately endowed with a $\\theta$-term. The Villain action is interpreted as a non-compact gauge theory whose center symmetry is gauged and has the advantage that the topological term is correctly quantized so that $2\\pi$ periodicity in $\\theta$ is intact. Because of this the $\\theta = \\pi$ theory has an exact $Z_2$ charge-conjugation symmetry $C$, which is spontaneously broken when the ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.07793","kind":"arxiv","version":1},"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"}