On the regular holonomic character of the S-matrix and microlocal analysis of unitarity-type integrals

DOI10.1007/BF01976042zbMath0491.35066MaRDI QIDQ1167348

Takahiro Kawai, Henry P. Stapp

Publication date: 1982

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

zbMATH Keywords

S-matrixmicrolocal analysisFeynman integralaxiomatic field theoryregular holonomic functionunitarity-type integrals

Mathematics Subject Classification ID

Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Quantum field theory; related classical field theories (81T99) (S)-matrix theory, etc. in quantum theory (81U20) Hyperfunctions (32A45) Overdetermined systems of PDEs with variable coefficients (35N10)

Related Items

Constraints on sequential discontinuities from the geometry of on-shell spaces ⋮ Meromorphic extensions of regular holonomic distributions ⋮ Non-holonomicity of the S matrix and Green functions in quantum field theory: A direct algebraic proof in some simple situations ⋮ Unitarity equations and structure of the S-matrix at the m-particle threshold in a theory with pure \(m\to m\) interaction

Cites Work

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• On the characteristic variety of a holonomic system with regular singularities
• The u=0 structure theorem
• On analytic properties of vertex parts in quantum field theory
• Derivation of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>CPT</mml:mi></mml:math>Theorem and the Connection between Spin and Statistics from Postulates of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-Matrix Theory
• Finiteness theorem for holonomic systems of micro-differential equations
• Finiteness of the Number of Positive-α Landau Surfaces in Bounded Portions of the Physical Region
• Crossing, Hermitian Analyticity, and the Connection between Spin and Statistics
• Macroscopic Causality Conditions and Properties of Scattering Amplitudes

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