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Bethe-Salpeter kernel and short distance expansion in the massive Gross-Neveu model

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Abstract

The Bethe-Salpeter kernel is defined (non-perturbatively) for the weakly coupled massive Gross-Neveu model. Its large momentum properties are established. They are used to justify “subtracted” Bethe-Salpeter equations initially proposed (forϕ 44 ) by K. Symanzik, and in turn to give non-perturbative proofs of the Wilson short distance expansion at first order and of 2-particle asymptotic completeness and related results.

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Authors and Affiliations

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

    D. Iagolnitzer

  2. Centre de Physique Théorique, Ecole Polytechnique, F-91128, Palaiseau Cedex, France

    D. Iagolnitzer

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

    J. Magnen

  4. Laboratoire propre du Centre National de la Recherche Scientifique de la République Française, France

    J. Magnen

Authors
  1. D. Iagolnitzer
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  2. J. Magnen
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Communicated by K. Gawedzki

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Iagolnitzer, D., Magnen, J. Bethe-Salpeter kernel and short distance expansion in the massive Gross-Neveu model. Commun.Math. Phys. 119, 567–584 (1988). https://doi.org/10.1007/BF01218345

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  • DOI: https://doi.org/10.1007/BF01218345

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