{"paper":{"title":"Noncommutative field theory from angular twist","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.QA"],"primary_cat":"hep-th","authors_text":"Fedele Lizzi, Marija Dimitrijevic Ciric, Maxim A. Kurkov, Nikola Konjik, Patrizia Vitale","submitted_at":"2018-06-18T13:48:49Z","abstract_excerpt":"We consider a noncommutative field theory with space-time $\\star$-commutators based on an angular noncommutativity, namely a solvable Lie algebra: the Euclidean in two dimension. The $\\star$-product can be derived from a twist operator and it is shown to be invariant under twisted Poincar\\'e transformations. In momentum space the noncommutativity manifests itself as a noncommutative $\\star$-deformed sum for the momenta, which allows for an equivalent definition of the $\\star$-product in terms of twisted convolution of plane waves. As an application, we analyze the $\\lambda \\phi^4$ field theory"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.06678","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"}