Hyperfunction quantum field theory: Basic structural results

DOI10.1063/1.528564zbMath0703.46050OpenAlexW2071636529MaRDI QIDQ3482377

Erwin A. K. Brüning, Shigeaki Nagamachi

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1063/1.528564

zbMATH Keywords

local commutativitytempered distributionsPoincaré covarianceexistence of a PCT operatorexistence of a scattering operatorFourier hyperfunction quantum fields are localizable both in space-time and in energy-momentum spacegeneral relativistic quantum field theorygeneralized functions on space-timelocalization of energy-momentum spectrumspin-statistics theorems

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Hyperfunctions, analytic functionals (46F15) Applications of functional analysis in quantum physics (46N50)

Related Items (13)

A uniqueness theorem for distributions and its application to nonlocal quantum field theory ⋮ Towards a generalized distribution formalism for gauge quantum fields ⋮ Infinite infrared regularization and a state space for the Heisenberg algebra ⋮ Towards Euclidean theory of infrared singular quantum fields ⋮ On the generalized function calculus for infrared and ultraviolet singular quantum fields ⋮ Relativistic quantum field theory with a fundamental length ⋮ On a spectral condition for infrared singular quantum fields ⋮ Localization properties of highly singular generalized functions ⋮ The choice of test functions in gauge quantum field theories ⋮ Edge of the wedge theorem for tempered ultra-hyperfunctions ⋮ Hyperfunction quantum field theory: Analytic structure, modular aspects, and local observable algebras ⋮ Closure of field operators, asymptotic Abelianness, and vacuum structure in hyperfunction quantum field theory ⋮ A new derivation of the CPT and spin-statistics theorems in noncommutative field theories

Cites Work

• The Haag-Ruelle formulation of scattering in hyperfunction quantum field theory
• Some examples of analytic functionals with carrier at the infinity
• The theory of vector valued Fourier hyperfunctions of mixed type. I
• Hyperfunction quantum field theory
• Hyperfunction quantum field theory II. Euclidean Green's functions
• A calculus approach to hyperfunctions I
• Looking Back at Quantum Field Theory
• On the borchers class of a free field

This page was built for publication: Hyperfunction quantum field theory: Basic structural results