Approximate Differential Equations for Renormalization Group Functions

Marc Bellon (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

Approximate differential equations are introduced for the renormalization group $\beta$-function in the supersymmetric Wess--Zumino model and the $\phi^3_6$ scalar model. This allows to obtain the asymptotic behavior of their perturbative coefficients and paves the way for non-perturbative studies.

Mots clés: Renormalization; Schwinger-Dyson equation

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

Marc Bellon. Approximate Differential Equations for Renormalization Group Functions. 2009. ⟨hal-00403916v1⟩