Construction of non-linear local quantum processes. II

DOI10.1007/BF01418890zbMath0221.47023MaRDI QIDQ2547362

Irving E. Segal

Publication date: 1971

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142113

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Perturbation theory of linear operators (47A55) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Axiomatic quantum field theory; operator algebras (81T05) Special classes of linear operators (47B99)

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Cites Work

• Unnamed Item
• Nonlinear functions of weak processes. I
• The \(\lambda (\varphi^ 4)_ 2\) quantum field theory without cutoffs. II: The field operators and the approximate vacuum
• Construction of nonlinear local quantum processes. I
• Groups of inner automorphisms of von Neumann algebras
• A non-commutative extension of abstract integration
• L p Fourier Transforms on Locally Compact Unimodular Groups
• Notes towards the construction of nonlinear relativistic quantum fields. II: The basic nonlinear functions in general space-times
• A noncommutative extension of the Perron-Frobenius theorem