On the decomposition of Wightman functionals in the Euclidean framework

DOI10.1016/0034-4877(78)90023-XzbMath0416.46055MaRDI QIDQ754446

Jakob Yngvason

Publication date: 1978

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

spontaneous symmetry breakingdecomposition of Wightman functionalsEuclidean invariant measuremodels of quantum field theoryOsterwalder-Schrader positivity condition

Mathematics Subject Classification ID

Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Constructive quantum field theory (81T08) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Miscellaneous applications of functional analysis (46N99)

Related Items (7)

Algebras of unbounded operators in quantum field theory ⋮ On phase factors, Euclidean path integral and QM thetavacua ⋮ Uniqueness and the global Markov property for Euclidean fields. The case of trigonometric interactions ⋮ Translationally invariant states and the spectrum ideal in the algebra of test functions for quantum fields ⋮ On revolutionizing quantum field theory with Tomita’s modular theory ⋮ Op\({}^*\)- and \(C^*\)-dynamical systems. I. Structural parallels ⋮ Op\({}^*\) and \(C^*\) dynamical systems. II. Structural differences: Borchers anomaly

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