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The Physical Basis of the Asymptotic Estimates in Perturbation Theory

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Hadron Structure and Lepton-Hadron Interactions

Part of the book series: NATO Advanced Study Institutes Series ((NSSB,volume 39))

Abstract

During last year, the asymptotic behaviour in K of the Kth order of the perturbative expansion has been widely investigated with remarkable success1–3. If the interaction is superrenormalizable, the problem has been solved for both interacting bosons4, 5 and fermions6–8: of course technical details may change from theory to theory. When the interaction is renormalizable new difficulties arise9, 10; they are not completely understood at the present moment.

On leave of absence from INFN (Frascati-Roma) Italy.

Laboratoire Propre du C.N.R.S. associé à l’Ecole Normale Supérieure et à l’Université de Paris Sud.

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Author information

Authors and Affiliations

  1. Laboratoire de Physique Théorique de l’Ecole Normale Supérieure, 24 rue Lhomond, 75231, Paris Cedex 05, France

    G. Parisi

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  1. G. Parisi
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Editor information

Editors and Affiliations

  1. Laboratory of Theoretical Physics and High Energies, Université Pierre et Marie Curie, Paris, France

    Maurice Lévy  & Jean-Louis Basdevant  & 

  2. Institute of Theoretical Physics, Université Catholique de Louvain, Louvain-la-Neuve, Belgium

    David Speiser  & Jacques Weyers  & 

  3. Institute of Theoretical Physics, Katholieke Universiteit Leuven, Leuven, Belgium

    Raymond Gastmans

  4. Institute of Theoretical Physics, C.E.N., Saclay, France

    Jean Zinn-Justin

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Parisi, G. (1979). The Physical Basis of the Asymptotic Estimates in Perturbation Theory. In: Lévy, M., Basdevant, JL., Speiser, D., Weyers, J., Gastmans, R., Zinn-Justin, J. (eds) Hadron Structure and Lepton-Hadron Interactions. NATO Advanced Study Institutes Series, vol 39. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2883-4_14

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  • DOI: https://doi.org/10.1007/978-1-4613-2883-4_14

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-2885-8

  • Online ISBN: 978-1-4613-2883-4

  • eBook Packages: Springer Book Archive

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