Irreducible kernels and nonperturbative expansions in a theory with pure m\(\to m\) interaction

DOI10.1007/BF01209478zbMath0578.47006OpenAlexW2061059606MaRDI QIDQ1066443

D. Iagolnitzer

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf01209478

zbMATH Keywords

Green functionS matrixFredholm theoryBethe-Salpeter type kernelsFeynman-type integralm-particle thresholdm\(\rightarrow m\) scattering theory with no subchannel interaction

Mathematics Subject Classification ID

(S)-matrix theory, etc. in quantum theory (81U20) Scattering theory of linear operators (47A40) Miscellaneous applications of functional analysis (46N99)

Related Items (1)

Non-holonomicity of the S matrix and Green functions in quantum field theory: A direct algebraic proof in some simple situations

Cites Work

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• Analyticity properties and many-particle structure in general quantum field theory. II. One-particle irreducible \(n\)-point functions
• Fredholm resolvents of meromorphic kernels with complex parameters: A Landau singularity and the associated equations of type U in a non- holonomic case
• Unitarity equations and structure of the S-matrix at the m-particle threshold in a theory with pure \(m\to m\) interaction
• Analytic behavior of the scattering amplitude at zero energy
• Continuation of Scattering Amplitudes and Form Factors through Two-Particle Branch Lines

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