On a spectral condition for infrared singular quantum fields

DOI10.1007/BF02070872zbMath0888.46052MaRDI QIDQ1379196

M. A. Solov'ev

Publication date: 1 March 1998

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

zbMATH Keywords

Paley-Wiener-Schwartz theoremdistribution classesquantum fields with singular infrared behaviorspectral condition for vacuum expectation values

Mathematics Subject Classification ID

Axiomatic quantum field theory; operator algebras (81T05) Applications of functional analysis in quantum physics (46N50)

Related Items (5)

Towards Euclidean theory of infrared singular quantum fields ⋮ \(PCT\), spin and statistics, and analytic wave front set ⋮ Spectral properties of Wick power series for a free field with an indefinite metric ⋮ Breaking the space-time translation group in the dipole field model ⋮ Test function space for Wick power series

Cites Work

• The choice of test functions in gauge quantum field theories
• How can local properties be described in field theories without strict locality?
• Towards a generalized distribution formalism for gauge quantum fields
• Hyperfunction quantum field theory: Basic structural results
• The Wick-ordered exponential of the dipole field as a field of type 𝒮
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