Letters in Mathematical Physics

, Volume 94, Issue 1, pp 77–86 | Cite as

An Efficient Method for the Solution of Schwinger–Dyson Equations for Propagators

  • Marc P. Bellon


Efficient computation methods are devised for the perturbative solution of Schwinger–Dyson equations for propagators. I show how a simple computation allows to obtain the dominant contribution in the sum of many parts of previous computations. This allows for an easy study of the asymptotic behavior of the perturbative series. In the cases of the four-dimensional supersymmetric Wess–Zumino model and the \({\phi_6^3}\) complex scalar field, the singularities of the Borel transform for both positive and negative values of the parameter are obtained and compared.

Mathematics Subject Classification (2000)

81T15 81T17 


Renormalization Schwinger–Dyson equation Borel summation 


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Copyright information

© Springer 2010

Authors and Affiliations

  1. 1.UPMC Univ Paris 06, UMR 7589, LPTHEParisFrance
  2. 2.CNRS, UMR 7589, LPTHEParisFrance

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