\(PCT\), spin and statistics, and analytic wave front set

DOI10.1007/BF02557234zbMath0973.81067arXivhep-th/0605243MaRDI QIDQ5930849

M. A. Solov'ev

Publication date: 26 April 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/0605243

zbMATH Keywords

asymptotic commutativityfunctional domain of test functionslocal commutativitymicrocausalitymomentum spacenonlocal quantum fieldsvacuum expectation values

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (13)

Two classes of generalized functions used in nonlocal field theory ⋮ Towards Euclidean theory of infrared singular quantum fields ⋮ On the generalized function calculus for infrared and ultraviolet singular quantum fields ⋮ Generalized Weyl correspondence and Moyal multiplier algebras ⋮ New lower bounds on scattering amplitudes: non-locality constraints ⋮ Star product algebras of test functions ⋮ Quantum field theory with a fundamental length: A general mathematical framework ⋮ Noncommutative deformations of quantum field theories, locality, and causality ⋮ Extension of positivity bounds to non-local theories: IR obstructions to Lorentz invariant UV completions ⋮ Fourier transformation of Sato's hyperfunctions ⋮ Axiomatic formulations of nonlocal and noncommutative field theories ⋮ Test function space for Wick power series ⋮ A new derivation of the CPT and spin-statistics theorems in noncommutative field theories

Cites Work

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• On the Fourier-Laplace transformation of generalized functions
• Eine scheinbare Abschwächung der Lokalitätsbedingung. II
• A uniqueness theorem for distributions and its application to nonlocal quantum field theory

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