Perturbative classical and quantum field theory

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dc.creatorHarrivel, Dikanaina
dc.date2006-03-06
dc.date.accessioned2026-07-07T07:06:19Z
dc.date.available2026-07-07T07:06:19Z
dc.descriptionIn a first part we study the phi^{p+1}--field theory from the classical point of view. Using Butcher series we compute explicitly the perturbative expansion of the solutions and we prove that this expansion converges if the coupling constant is small enough. Then we show that we can formally recover the Heisenberg's interacting quantum field directly from this expansion. In other words we write the Heisenberg interacting field as a Butcher series.
dc.description12 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0603014
dc.identifierhttp://arxiv.org/abs/math-ph/0603014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109977
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subject81T99; 81Q15; 81Q05; 35C10; 35Q40
dc.titlePerturbative classical and quantum field theory
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