{"paper":{"title":"Classical and \\textcolor{blue}{Quantum} Field-Theoretical approach to the non-linear q-Klein-Gordon Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"A.Plastino, M. C.Rocca","submitted_at":"2016-10-11T22:12:37Z","abstract_excerpt":"\\color{blue}{In the wake of efforts made in [EPL {\\bf 97}, 41001 (2012)] and [J. Math. Phys. {\\bf 54}, 103302 (2913)], we extend them here by developing the conventional Lagrangian treatment of a classical field theory (FT) to the q-Klein-Gordon equation advanced in [Phys. Rev. Lett. {\\bf 106}, 140601 (2011)] and [J. Math. Phys. {\\bf 54}, 103302 (2913)], and the quantum theory corresponding to $q=\\frac {3} {2}$. This makes it possible to generate a putative conjecture regarding black matter. Our theory reduces to the usual FT for $q\\rightarrow 1$.}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.03546","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"}