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

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Publication:1824837
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DOI10.1007/BF01218469zbMath0683.46054MaRDI QIDQ1824837

L. Iagolnitzer, D. Iagolnitzer

Publication date: 1989

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


zbMATH Keywords

algebraic argumentcriterion of non-holonomicity of the S matrix and Green functions in some basic simple situations of relativistic quantum field theory


Mathematics Subject Classification ID

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


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Inelastic magnon scattering, An algebra of pseudodifferential operators and quantum mechanics in phase space, Singularities of the magnon<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>matrix, Unnamed Item



Cites Work

  • Irreducible kernels and nonperturbative expansions in a theory with pure m\(\to m\) interaction
  • On the regular holonomic character of the S-matrix and microlocal analysis of unitarity-type integrals
  • Unitarity equations and structure of the S-matrix at the m-particle threshold in a theory with pure \(m\to m\) interaction
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