Algebraic characterization of the vacuum for quantized fields transforming non-unitarily

DOI10.2140/PJM.1989.137.387zbMath0683.46050OpenAlexW1982894687MaRDI QIDQ1824832

Irving E. Segal

Publication date: 1989

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1989.137.387

zbMATH Keywords

positivityself-adjointnessboson casecontinuous one- parameter group of linear symplectic transformationsvacuum as an expectation value form on the Clifford or Weyl algebra over an orthogonal or symplectic real linear space, invariant under a given group of automorphisms

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Miscellaneous applications of functional analysis (46N99)

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