{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,14]],"date-time":"2026-04-14T02:03:13Z","timestamp":1776132193272,"version":"3.50.1"},"reference-count":18,"publisher":"Cambridge University Press (CUP)","issue":"2","license":[{"start":{"date-parts":[[2007,4,1]],"date-time":"2007-04-01T00:00:00Z","timestamp":1175385600000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Struct. Comp. Sci."],"published-print":{"date-parts":[[2007,4]]},"abstract":"<jats:p>Perturbation theory has always been an important component of the natural sciences. From celestial mechanics to the quantum theory of fields, it has always played a central role, which this little note sets out to analyse briefly. We will show, in particular, how its epistemological position has changed from being just a \u2018tool\u2019 to being the basis of definition for objects in quantum field theory.<\/jats:p>","DOI":"10.1017\/s0960129507005993","type":"journal-article","created":{"date-parts":[[2007,5,3]],"date-time":"2007-05-03T17:02:05Z","timestamp":1178211725000},"page":"277-288","source":"Crossref","is-referenced-by-count":7,"title":["On the status of perturbation theory"],"prefix":"10.1017","volume":"17","author":[{"given":"THIERRY","family":"PAUL","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2007,4,1]]},"reference":[{"key":"S0960129507005993_N10215","article-title":"Quantisierung und eigenvalues","volume":"79","author":"Schr\u00f6dinger","year":"1926","journal-title":"Ann. der Physics"},{"key":"S0960129507005993_N101E5","article-title":"Savoir critique et savoir positif: l'importance des r\u00e9sultats n\u00e9gatifs","volume":"40","author":"Longo","year":"2005","journal-title":"Intellectica"},{"key":"S0960129507005993_N101BC","unstructured":"Jank\u00e9l\u00e9vitch V. (1950) Philosophie premi\u00e8re. Introduction \u00e0 une philosophie du presque, Gallimard."},{"key":"S0960129507005993_N1019F","doi-asserted-by":"publisher","DOI":"10.1007\/BF01328377"},{"key":"S0960129507005993_N10185","volume-title":"Quantum physics: a functional integral point of view","author":"Gimm","year":"1987"},{"key":"S0960129507005993_N10162","doi-asserted-by":"publisher","DOI":"10.1007\/BF01210701"},{"key":"S0960129507005993_N1013A","first-page":"53","article-title":"La th\u00e9orie du rayonnemnt","volume":"1","author":"Fermi","year":"1930","journal-title":"Annales de l'Institut H. Poincar\u00e9"},{"key":"S0960129507005993_N1011A","doi-asserted-by":"publisher","DOI":"10.1007\/s002200050499"},{"key":"S0960129507005993_N100EC","volume-title":"M\u00e9moires sur la m\u00e9canique Quantique","author":"Brillouin","year":"1988"},{"key":"S0960129507005993_N100D2","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-00291-9","volume-title":"Elementare Quantenmechanik (zweiter Band der Vorlesungen \u00fcber Atommechanik)","author":"Born","year":"1930"},{"key":"S0960129507005993_N100A3","volume-title":"Essai sur la connaissance approch\u00e9e","author":"Bachelard","year":"1969"},{"key":"S0960129507005993_N100B7","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61898-7"},{"key":"S0960129507005993_N10157","unstructured":"Gallavotti G. (private communication)."},{"key":"S0960129507005993_N10244","volume-title":"The quantum theory of fields","author":"Weinberg","year":"2002"},{"key":"S0960129507005993_N1022C","unstructured":"Streater R. and Whitgman A. (1964) Spin, statistics and all that, Benjamin."},{"key":"S0960129507005993_N10203","unstructured":"Poincar\u00e9 H. (1987) Les m\u00e9thodes nouvelles de la m\u00e9canique c\u00e9leste, Volume 3, Blanchard, Paris."},{"key":"S0960129507005993_N10103","doi-asserted-by":"publisher","DOI":"10.1016\/0370-1573(79)90023-1"},{"key":"S0960129507005993_N101CE","volume-title":"Proceedings of the International Congress of Mathematicians, Amsterdam 1954","author":"Kolmogorov","year":"1954"}],"container-title":["Mathematical Structures in Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0960129507005993","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,11]],"date-time":"2023-05-11T17:56:40Z","timestamp":1683827800000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0960129507005993\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,4]]},"references-count":18,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2007,4]]}},"alternative-id":["S0960129507005993"],"URL":"https:\/\/doi.org\/10.1017\/s0960129507005993","relation":{},"ISSN":["0960-1295","1469-8072"],"issn-type":[{"value":"0960-1295","type":"print"},{"value":"1469-8072","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,4]]}}}