{"work":{"id":"c25414be-7215-426d-8422-c198462ca534","openalex_id":null,"doi":null,"arxiv_id":"hep-th/0109162","raw_key":null,"title":"Quantum Field Theory on Noncommutative Spaces","authors":null,"authors_text":"R","year":2001,"venue":"hep-th","abstract":"A pedagogical and self-contained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the Weyl-Wigner correspondence, noncommutative Feynman diagrams, UV/IR mixing, noncommutative Yang-Mills theory on infinite space and on the torus, Morita equivalences of noncommutative gauge theories, twisted reduced models, and an in-depth study of the gauge group of noncommutative Yang-Mills theory. Some of the more mathematical ideas and techniques of noncommutative geometry are also briefly explained.","external_url":"https://arxiv.org/abs/hep-th/0109162","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-06-30T15:54:48.743617+00:00","pith_arxiv_id":"hep-th/0109162","created_at":"2026-05-10T07:26:59.483725+00:00","updated_at":"2026-06-30T15:54:48.743617+00:00","title_quality_ok":true,"display_title":"Quantum Field Theory on Noncommutative Spaces","render_title":"Quantum Field Theory on Noncommutative Spaces"},"hub":{"state":{"work_id":"c25414be-7215-426d-8422-c198462ca534","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":10,"external_cited_by_count":null,"distinct_field_count":5,"first_pith_cited_at":"2026-04-01T16:00:18+00:00","last_pith_cited_at":"2026-05-22T17:20:58+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-05-27T10:47:47.981493+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":4},{"context_role":"method","n":1}],"polarity_counts":[{"context_polarity":"background","n":3},{"context_polarity":"support","n":1},{"context_polarity":"use_method","n":1}],"runs":{},"summary":{},"graph":{},"authors":[]}}