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

Marc Bellon (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

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.

Mots clés: Renormalization; Schwinger-Dyson equation; Borel summation

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Marc Bellon. An Efficient Method for the Solution of Schwinger--Dyson equations for propagators. Letters in Mathematical Physics, 2010, 94 (1), pp.77-86. ⟨10.1007/s11005-010-0415-3⟩. ⟨hal-00479697v2⟩