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An Efficient Method for the Solution of Schwinger--Dyson equations for propagators

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Publication Date
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Hal-Diderot
Keywords
  • Renormalization
  • Schwinger-Dyson Equation
  • Borel Summation
  • [Phys.Hthe] Physics [Physics]/High Energy Physics - Theory [Hep-Th]
  • [Phys.Mphy] Physics [Physics]/Mathematical Physics [Math-Ph]
  • [Math.Math-Mp] Mathematics [Math]/Mathematical Physics [Math-Ph]
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Abstract

Efficient computation methods are devised for the perturbative solution of Schwinger--Dyson equations for propagators. We 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.

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