{"work":{"id":"5fff3d62-7f34-487f-abc1-2ac5bff5acbb","openalex_id":null,"doi":null,"arxiv_id":"hep-th/0501052","raw_key":null,"title":"Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory","authors":null,"authors_text":"R","year":2005,"venue":"hep-th","abstract":"Recently, by using the known structure of one-loop scattering amplitudes for gluons in Yang-Mills theory, a recursion relation for tree-level scattering amplitudes has been deduced. Here, we give a short and direct proof of this recursion relation based on properties of tree-level amplitudes only.","external_url":"https://arxiv.org/abs/hep-th/0501052","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-07-11T00:07:43.920847+00:00","pith_arxiv_id":"hep-th/0501052","created_at":"2026-05-09T06:55:45.551331+00:00","updated_at":"2026-07-11T00:07:43.920847+00:00","title_quality_ok":true,"display_title":"Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory","render_title":"Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory"},"hub":{"state":{"work_id":"5fff3d62-7f34-487f-abc1-2ac5bff5acbb","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":28,"external_cited_by_count":null,"distinct_field_count":3,"first_pith_cited_at":"2022-12-25T11:21:33+00:00","last_pith_cited_at":"2026-07-07T18:00:00+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":"2026-08-21T15:49:40.641837+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":2},{"context_role":"method","n":1}],"polarity_counts":[{"context_polarity":"background","n":2},{"context_polarity":"use_method","n":1}],"runs":{},"summary":{},"graph":{},"authors":[]}}