Communications in Mathematical Physics

, Volume 101, Issue 2, pp 247–282 | Cite as

Renormalization theory in four dimensional scalar fields (II)

  • G. Gallavotti
  • F. Nicolò


We interpret the results of the preceding paper (I) in terms of partial resummations of the perturbative series for the effective interaction. As an application we sketch how our resummation method leads to a simple summation rule leading to a convergent expansion for the Schwinger functions of the planarΦ 4 4 -theory.


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

© Springer-Verlag 1985

Authors and Affiliations

  • G. Gallavotti
    • 1
    • 2
  • F. Nicolò
    • 1
    • 3
  1. 1.Mathematics Department, Hill CenterRutgers UniversityNew BrunswickUSA
  2. 2.Dipartimento di matematicaII Università di RomaRomaItaly
  3. 3.Dipartimento di fisicaUniversità degli studi di Roma “La Sapienza”RomaItaly

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