Planar Binary Trees and Perturbative Calculus of Observables in Classical Field Theory

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dc.creatorHarrivel, Dikanaina
dc.date2004-10-04
dc.date2005-04-20
dc.date.accessioned2026-07-07T05:12:50Z
dc.date.available2026-07-07T05:12:50Z
dc.descriptionConsider the Klein-Gordon equation coupled with an interaction term $(\Box+m^2)ϕ+λψ^p$. For the linear Klein-Gordon equation, a kind of generalized Noether's theorem gives us a conserved quantity. The purpose of this paper is to find an analogue of this conserved quantity in the interacting case. We see that it can be done perturbatively, and we define explicitely a conserved quantity using a perturbative expansion based on Planar Binary Tree and a kind of Feynman rules. Only the case $p=2$ is treated but our approach can be generalized to any $ϕ^p$-theory.
dc.description28 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0410050
dc.identifierhttp://arxiv.org/abs/math/0410050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72726
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35L70 (primary) 41A58, 35B05, 35B20, 35Q40
dc.titlePlanar Binary Trees and Perturbative Calculus of Observables in Classical Field Theory
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