Communications in Mathematical Physics

, Volume 56, Issue 3, pp 237–276 | Cite as

Phase space cell expansion and borel summability for the Euclidean φ 3 4 theory

  • J. Magnen
  • R. Sénéor


The stability of the free energy is proved for complex values of the coupling constant by the way of a convergent expansion. As a consequence, one obtains the Borel summability of the perturbation series.


Neural Network Free Energy Statistical Physic Phase Space Complex System 


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Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • J. Magnen
    • 1
  • R. Sénéor
    • 2
  1. 1.II. Institut für Theoretische PhysikHamburgGermany
  2. 2.Department of PhysicsHarvard UniversityCambridgeUSA

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