The choice of test functions in gauge quantum field theories

DOI10.1007/BF00402674zbMath0801.46045OpenAlexW1970246851MaRDI QIDQ1194362

Franco Strocchi, Ugo Moschella

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1007/bf00402674

zbMATH Keywords

Gelfand and Shilov spaceschoice of test functions in gauge quantum field theorieslocal and covariant formulation of gauge theories

Mathematics Subject Classification ID

Model quantum field theories (81T10) Axiomatic quantum field theory; operator algebras (81T05) Applications of functional analysis in quantum physics (46N50) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (17)

A uniqueness theorem for distributions and its application to nonlocal quantum field theory ⋮ Towards a generalized distribution formalism for gauge quantum fields ⋮ On algebraic \(\sharp\)-cones in topological tensor algebras. II: Closed hulls and extremal rays ⋮ Infinite infrared regularization and a state space for the Heisenberg algebra ⋮ On the GNS representation of generalized free fields with indefinite metric ⋮ Towards Euclidean theory of infrared singular quantum fields ⋮ On the generalized function calculus for infrared and ultraviolet singular quantum fields ⋮ On a spectral condition for infrared singular quantum fields ⋮ Localization properties of highly singular generalized functions ⋮ A note on gauge symmetry breaking ⋮ \(PCT\), spin and statistics, and analytic wave front set ⋮ Quantum field theory with a fundamental length: A general mathematical framework ⋮ 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 ⋮ The Wick-ordered exponential of the dipole field as a field of type 𝒮 ⋮ Test function space for Wick power series ⋮ A new derivation of the CPT and spin-statistics theorems in noncommutative field theories

Cites Work

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• The dipole field model
• The exponential of the two-dimensional massless scalar field as an infrared Jaffe field
• Euclidean Green's functions for Jaffe fields
• Hyperfunction quantum field theory
• How can local properties be described in field theories without strict locality?
• PCT, spin and statistics, and all that for nonlocal Wightman fields
• Linear partial differential operators and generalized distributions
• Hyperfunction quantum field theory: Basic structural results
• On structure of the algebra of field operators
• On the Approximation of Quantum Field Theories
• Generalized functions of typeS and localizable fields

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