Geometric modular action, wedge duality, and Lorentz covariance are equivalent for generalized free fields

DOI10.1063/1.1286174zbMath1046.81074arXivmath-ph/9910032OpenAlexW3105659867MaRDI QIDQ2738156

Johanna Gaier, Jakob Yngvason

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/math-ph/9910032

zbMATH Keywords

observable algebrasvacuum stateconjugationsarbitrary space-time dimensionmaximal local netTomita-Takesaki modular groupstranslationally covariant

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Operator algebra methods applied to problems in quantum theory (81R15)

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Cites Work

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