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Perturbative classical and quantum field theory

Abstract : In 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.
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https://hal.archives-ouvertes.fr/hal-00020096
Contributor : Dikanaina Harrivel <>
Submitted on : Monday, March 6, 2006 - 10:02:23 AM
Last modification on : Monday, March 9, 2020 - 6:15:53 PM

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Dikanaina Harrivel. Perturbative classical and quantum field theory. 2006. ⟨hal-00020096⟩

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