{"work":{"id":"874d57dd-e244-4064-b3bb-e811e1d6c54b","openalex_id":null,"doi":null,"arxiv_id":"hep-ph/9308265","raw_key":null,"title":"The Exact Renormalisation Group and Approximate Solutions","authors":null,"authors_text":"T","year":1993,"venue":"hep-ph","abstract":"We investigate the structure of Polchinski's formulation of the flow equations for the continuum Wilson effective action.\n  Reinterpretations in terms of I.R. cutoff greens functions are given. A promising non-perturbative approximation scheme is derived by carefully taking the sharp cutoff limit and expanding in `irrelevancy' of operators.\n  We illustrate with two simple models of four dimensional $\\lambda \\varphi^4$ theory: the cactus approximation, and a model incorporating the first irrelevant correction to the renormalized coupling. The qualitative and quantitative behaviour give confidence in a fuller use of this method for obtaining accurate results.","external_url":"https://arxiv.org/abs/hep-ph/9308265","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-07-04T07:19:39.421756+00:00","pith_arxiv_id":"hep-ph/9308265","created_at":"2026-05-11T14:26:04.662044+00:00","updated_at":"2026-07-04T07:19:39.421756+00:00","title_quality_ok":true,"display_title":"The Exact Renormalisation Group and Approximate Solutions","render_title":"The Exact Renormalisation Group and Approximate Solutions"},"hub":{"state":{"work_id":"874d57dd-e244-4064-b3bb-e811e1d6c54b","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":15,"external_cited_by_count":null,"distinct_field_count":3,"first_pith_cited_at":"2025-08-01T17:39:46+00:00","last_pith_cited_at":"2026-06-19T15:19:48+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":"2026-07-04T08:16:45.956322+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":4},{"context_polarity":"use_method","n":1}],"runs":{},"summary":{},"graph":{},"authors":[]}}