Op\({}^*\) and \(C^*\) dynamical systems. II. Structural differences: Borchers anomaly

DOI10.1007/BF01029215zbMath0723.47039MaRDI QIDQ756688

S. S. Khoruzhij, A. V. Voronin

Publication date: 1990

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

conditions for absence of the Borchers anomalydifference between the vacuum structures of \(Op^ *\)- and \(C^ *\)- dynamical systemsinfinite vacuum degeneracy in irreducible \(Op^ *\)- systemsunbounded commutants of \(Op^ *\) operators

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Applications of operator theory in the physical sciences (47N50) Noncommutative dynamical systems (46L55) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50)

Cites Work

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• On the decomposition of Wightman functionals in the Euclidean framework
• On the algebra of field operators. The weak commutant and integral decompositions of states
• Integral representations for Schwinger functionals and the moment problem over nuclear spaces
• La structure algébrique de la représentation et le problème de la symétrie pour une classe de fonctionnelles de Wightman
• On the structure of the algebra of field operators. II
• Self-adjoint algebras of unbounded operators
• V*-algebras: A particular class of unbounded operator algebras

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