Communications in Mathematical Physics

, Volume 35, Issue 4, pp 347–356 | Cite as

Asymptotic perturbation expansion in theP(φ)2 quantum field theory

  • Jonathan Dimock


In theP(φ)2 model it is proved that the perturbation series for the infinite volume Schwinger functionsS(λ) are asymptotic in the limit as the coupling constant λ goes to zero. We also give conditions which imply smoothness ofS(λ) at arbitrary λ.


Neural Network Statistical Physic Field Theory Complex System Quantum Field Theory 
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Copyright information

© Springer-Verlag 1974

Authors and Affiliations

  • Jonathan Dimock
    • 1
    • 2
  1. 1.Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA
  2. 2.Department of MathematicsState University of New York at BuffaloAmherstUSA

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