Approximate Differential Equations for Renormalization Group Functions

Marc Bellon (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

I introduce an approximation scheme that allows to deduce differential equations for the renormalization group $\beta$-function from Schwinger--Dyson equations. This approximation is proven to preserve the dominant asymptotic behavior of the perturbative series.

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. Approximate Differential Equations for Renormalization Group Functions. 2009. ⟨hal-00403916v2⟩