Convergence of nonlinear massive quantum field theory in the Einstein universe

DOI10.1016/0003-4916(92)90088-4zbMath0875.53017OpenAlexW2004648641MaRDI QIDQ1816177

Zhengfang Zhou, Irving E. Segal

Publication date: 28 January 1997

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0003-4916(92)90088-4

zbMATH Keywords

Klein-Gordon equationinteractionself-adjoint operatorsEinstein Universefour-dimensional nonlinear quantum field theoriesfree field Hilbert spacetotal hamiltonians

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Gravitational interaction in quantum theory (81V17) Applications of differential geometry to physics (53Z05) Methods of quantum field theory in general relativity and gravitational theory (83C47)

Related Items (4)

\(CPT\) groups of higher spin fields ⋮ Conformal extension of massive wave functions ⋮ Global Existence of Solutions to Nonlinear Wave Equations ⋮ Finite-time blow-up of solutions to semilinear wave equations

Cites Work

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• Construction of nonlinear local quantum processes. I
• Construction of non-linear local quantum processes. II
• The global Goursat problem and scattering for nonlinear wave equations
• A class of operator algebras which are determined by groups
• Quantized Space-Time

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