Tauberian theorems in quantum field theory

DOI10.1007/BF01091711zbMath0459.46048OpenAlexW3035016277MaRDI QIDQ5904737

Vasily S. Vladimirov, B. I. Zav'yalov

Publication date: 1981

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01091711

zbMATH Keywords

Wightman functionquantum field theoryTauberian theoremscommutators of electromagnetic currentsJost-Lehman-Dyson representationself-similar asymptotics of the form factors

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Miscellaneous applications of functional analysis (46N99)

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Cites Work

• 'Quasiasymptotics' of generalized functions and scaling of electromagnetic form factors
• Asymptotic expansions of generalized functions with singularities on the light cone
• Scaling of electromagnetic form factors and the behavior of their Fourier transforms in the neighborhood of the light cone
• Charge renormalization group in quantum field theory
• Integral-Darstellung kausaler Kommutatoren
• Integral Representations of Causal Commutators
• Tauberian theorems in quantum field theory
• On Lorentz invariant distributions
• Regularly varying functions
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