{"paper":{"title":"Quantum Sine(h)-Gordon Model and Classical Integrable Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"A.B. Zamolodchikov, S.L. Lukyanov","submitted_at":"2010-03-28T01:03:31Z","abstract_excerpt":"We study a family of classical solutions of modified sinh-Gordon equation, $\\partial_z\\partial_{{\\bar z}} \\eta-\\re^{2\\eta}+p(z)\\,p({\\bar z})\\ \\re^{-2\\eta}=0$ with $p(z)=z^{2\\alpha}-s^{2\\alpha}$. We show that certain connection coefficients for solutions of the associated linear problem coincide with the $Q$-function of the quantum sine-Gordon $(\\alpha>0)$ or sinh-Gordon $(\\alpha<-1)$ models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.5333","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"}