Analyticity of scattering for the \(\phi ^ 4\) theory

DOI10.1007/BF01218466zbMath0683.46051OpenAlexW2016519779WikidataQ62443819 ScholiaQ62443819MaRDI QIDQ1824833

John C. Baez, Zhengfang Zhou

Publication date: 1989

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01218466

zbMATH Keywords

scatteringwave operatorsHilbert space of Cauchy data with Poincaré-invariant normHilbert space of finite Einstein energy Cauchy data

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Quantum scattering theory (81U99) Scattering theory of linear operators (47A40) Miscellaneous applications of functional analysis (46N99)

Related Items (5)

Analyticity of the scattering operator for semilinear dispersive equations ⋮ Scattering and complete integrability in conformally invariant nonlinear theories ⋮ Analyticity of the scattering operator for the nonlinear Klein-Gordon equation with cubic nonlinearity ⋮ Quantum interaction :φ44:, the construction of quantum field defined as a bilinear form ⋮ Scattering and complete integrability in the massive \(\phi ^ 4\) theory

Cites Work

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• The global Goursat problem and scattering for nonlinear wave equations
• Decay and scattering of solutions of a nonlinear relativistic wave equation
• On a nonlinear scattering operator
• Analytic operations in real Banach spaces

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