Scattering and complete integrability in the massive \(\phi ^ 4\) theory
type: Item
instance of: scholarly article
title: Scattering and complete integrability in the massive \(\phi ^ 4\) theory
zbMATH Open document ID: 0729.47009
DOI: 10.1016/0022-1236(90)90020-L
author: John Baez
author: Zhengfang Zhou
published in: Journal of Functional Analysis
publication date: 1990-01-01T00:00:00Z
review text: The wave and scattering operators for the equation \[ (\square +m^ 2)\phi +\lambda \phi^ 3=0,\quad m>0,\quad \lambda \geq 0,\quad x\in {\mathbb{R}}^ 3, \] are defined by comparison of the asymptotics as \(t\to \pm \infty\) of its solutions with that for the Klein-Gordon equation \((\lambda =0)\). The basic result is analyticity of the wave and scattering operators for small finite-energy Cauchy data. Complete integrability of the massive \(\phi^ 4\) theory at low energy is discussed.
Mathematics Subject Classification ID: 47A40
Mathematics Subject Classification ID: 81U99
zbMATH DE Number: 4205165
zbMATH Keywords: wave and scattering operators
zbMATH Keywords: Klein-Gordon equation
zbMATH Keywords: Complete integrability of the massive \(\phi ^ 4\) theory at low energy
Wikidata QID: Q62443802
reviewed by: Dmitri Yafaev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4205165