{"paper":{"title":"Covariant Quantum Fields on Noncommutative Spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP","math.QA"],"primary_cat":"hep-th","authors_text":"A. Ibort, A. P. Balachandran, G. Marmo, M. Martone","submitted_at":"2010-09-26T22:31:34Z","abstract_excerpt":"A spinless covariant field $\\phi$ on Minkowski spacetime $\\M^{d+1}$ obeys the relation $U(a,\\Lambda)\\phi(x)U(a,\\Lambda)^{-1}=\\phi(\\Lambda x+a)$ where $(a,\\Lambda)$ is an element of the Poincar\\'e group $\\Pg$ and $U:(a,\\Lambda)\\to U(a,\\Lambda)$ is its unitary representation on quantum vector states. It expresses the fact that Poincar\\'e transformations are being unitary implemented. It has a classical analogy where field covariance shows that Poincar\\'e transformations are canonically implemented. Covariance is self-reproducing: products of covariant fields are covariant. We recall these proper"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.5136","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"}