A uniqueness theorem for distributions and its application to nonlocal quantum field theory

DOI10.1063/1.532412zbMath1020.46027OpenAlexW2005118771MaRDI QIDQ4260527

M. A. Solov'ev

Publication date: 17 December 2002

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

Full work available at URL: https://doi.org/10.1063/1.532412

zbMATH Keywords

Fourier transformdistributionnonlocal quantum fieldsPCT theorem

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Axiomatic quantum field theory; operator algebras (81T05) Applications of functional analysis in quantum physics (46N50)

Related Items (8)

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 ⋮ Relativistic quantum field theory with a fundamental length ⋮ \(PCT\), spin and statistics, and analytic wave front set ⋮ Quantum field theory with a fundamental length: A general mathematical framework ⋮ Axiomatic formulations of nonlocal and noncommutative field theories ⋮ A new derivation of the CPT and spin-statistics theorems in noncommutative field theories

Cites Work

• The choice of test functions in gauge quantum field theories
• PCT, spin and statistics, and all that for nonlocal Wightman fields
• An extension of distribution theory and of the Paley-Wiener-Schwartz theorem related to quantum gauge theory
• Towards a generalized distribution formalism for gauge quantum fields
• Projective and injective limits of weakly compact sequences of locally convex spaces
• Hyperfunction quantum field theory: Basic structural results

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