{"paper":{"title":"$\\kappa$--deformed Wigner construction of relativistic wave functions and free fields on $\\kappa$-Minkowski space","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"J. Lukierski (Wroclaw Univ.), P. Kosi\\'nski (Lodz Univ.), P. Ma\\'slanka (Lodz Univ.)","submitted_at":"2001-03-16T12:28:20Z","abstract_excerpt":"We describe the extension of the Wigner`s infinite-dimensional unitary representations of Poincar\\'{e} group to the case of $\\kappa$-deformed Poincar\\'{e} group. We show that the corresponding coordinate wave functions on noncommutative space-time are described by free field equations on $\\kappa$-deformed Minkowski space. The cases of Klein--Gordon, Dirac, Proca and Maxwell fields are considered. Finally some aspects of second quantization are also discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0103127","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"}