Translationally invariant states and the spectrum ideal in the algebra of test functions for quantum fields

DOI10.1007/BF01209075zbMath0498.46052MaRDI QIDQ1171258

Jakob Yngvason

Publication date: 1981

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

zbMATH Keywords

spectrum conditionBorchers' tensor algebra of test functions for quantum fieldsinvariant positive functionalsspectrum idealtranslationally invariant

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60) Topological (rings and) algebras with an involution (46K99)

Related Items (5)

On algebra \(\sharp\)-cones in topological tensor-algebras. I: Basic properties and normality ⋮ Algebras of unbounded operators in quantum field theory ⋮ Deformations of quantum field theories and integrable models ⋮ Unnamed Item ⋮ A class of nontrivial weakly local massive Wightman fields with interpolating properties

Cites Work

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• On positive functionals on algebras of test functions for quantum fields
• The field algebra and its positive linear functionals
• On the algebra of test functions for field operators. Decomposition of linear functionals into positive ones
• On structure of the algebra of field operators

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