Relativistic quantum field theory with a fundamental length

DOI10.1063/1.1737055zbMath1071.81078OpenAlexW2086393461MaRDI QIDQ4833419

Shigeaki Nagamachi, Erwin A. K. Brüning

Publication date: 15 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1737055

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Hyperfunctions, analytic functionals (46F15) Applications of functional analysis in quantum physics (46N50)

Related Items (15)

The Bochner–Schwartz theorem for Fourier ultra-hyperfunctions ⋮ A note on Fourier--Laplace transform and analytic wave front set in theory of tempered ultrahyperfunctions ⋮ Twisted convolution and Moyal star product of generalized functions ⋮ A note on the real support of Silva-Hasumi-Morimoto ultrahyperfunctions ⋮ Duality covariant quantum field theory on noncommutative Minkowski space ⋮ On the non-triviality of certain spaces of analytic functions. Hyperfunctions and ultrahyperfunctions of fast growth ⋮ Edge of the wedge theorem for tempered ultra-hyperfunctions ⋮ Quantum field theory with a fundamental length: A general mathematical framework ⋮ Spaces of type \(S\) as topological algebras under twisted convolution and star product ⋮ Holomorphic extension theorem for tempered ultrahyperfunctions ⋮ On the singular spectrum of tempered ultrahyperfunctions corresponding to proper convex cones ⋮ Reconstruction in quantum field theory with a fundamental length ⋮ Frame independence of the fundamental length in relativistic quantum field theory ⋮ Solution of a linearized model of Heisenberg’s fundamental equation II ⋮ The structure of positive definite Fourier ultra-hyperfunctions

Cites Work

• Note on the \(n\)-dimensional tempered ultra distributions
• How can local properties be described in field theories without strict locality?
• Wick-ordered entire functions of the indefinite metric free field
• Hyperfunction quantum field theory: Localized fields without localized test functions
• Entire functions of the free field
• Hyperfunction quantum field theory: Analytic structure, modular aspects, and local observable algebras
• Hyperfunction quantum field theory: Basic structural results
• Theory of tempered ultrahyperfunctions, I
• A uniqueness theorem for distributions and its application to nonlocal quantum field theory

This page was built for publication: Relativistic quantum field theory with a fundamental length