Communications in Mathematical Physics

, Volume 39, Issue 4, pp 251–271 | Cite as

Decay properties and borel summability for the Schwinger functions inP(Φ)2 theories

  • J. -P. Eckmann
  • J. Magnen
  • R. Sénéor


For the truncated Schwinger functions of theP(Φ)2 field theories, we show strong decrease in the separation of points. This shows uniqueness of theories withP of degree four. We also extend the domain of analyticity in the coupling constant. For theories withP of degree four, the combination of these two results gives Borel summability.


Neural Network Statistical Physic Field Theory Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • J. -P. Eckmann
    • 1
  • J. Magnen
    • 2
  • R. Sénéor
    • 2
  1. 1.Département de Physique ThéoriqueUniversité de GenèveGenèveSwitzerland
  2. 2.Centre de Physique Théorique de l'Ecole PolytechniqueEquipe de Recherche Associée au C.N.R.S.France

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