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

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Abstract

A criterion of non-holonomicity of theS matrix and Green functions in some basic simple situations of relativistic quantum field theory, previously established in an indirect way or with supplementary assumptions, is reobtained from unitarity equations by a direct and general algebraic argument.

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Authors and Affiliations

  1. Service de Physique Théorique de Saclay, F-91191, Gif-sur-Yvette Cedex, France

    D. Iagolnitzer

  2. Ecole Normale Supérieure, 45 rue d'Ulm, F-75005, Paris, France

    D. Iagolnitzer

  3. Laboratoire de l'Institut de Recherche Fondamentale du Commissariat à l'Energie Atomique, France

    L. Iagolnitzer

Authors
  1. D. Iagolnitzer
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  2. L. Iagolnitzer
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Communicated by K. Gawedzki

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Iagolnitzer, D., Iagolnitzer, L. Non-holonomicity of theS matrix and Green functions in quantum field theory: A direct algebraic proof in some simple situations. Commun.Math. Phys. 124, 79–85 (1989). https://doi.org/10.1007/BF01218469

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  • DOI: https://doi.org/10.1007/BF01218469

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