Should we worry about renormalons in the -expansion? - Laboratoire de Physique Théorique de l'Ecole Normale Supérieure Access content directly
Preprints, Working Papers, ... Year : 2023

Should we worry about renormalons in the -expansion?


Turning the divergent-expansion into a numerically sensible algorithm, relies on the knowledge of the behaviour of the large order contributions. Two different pictures are known to compete there. The first one was based on Lipatov's instantons, which is known to deal with the multiplicity of Feynman diagrams which grows factorially at high orders. However this was challenged by 't Hooft's renormalons who pointed out that renormalization could yield a similar growth through one single diagram. We study here a well-known model, the O(N) model, in the large N limit. The reason for returning to this familiar model, is that it deals with diagrams known to give renormalon effects.Through an explicit analytic result, we find no sign of a non-analyticity of perturbation theory due to these renormalons.
Fichier principal
Vignette du fichier
Fisher_memorial_Brezin.pdf (216.13 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03920948 , version 1 (03-01-2023)


  • HAL Id : hal-03920948 , version 1


Edouard Brézin. Should we worry about renormalons in the -expansion?. 2023. ⟨hal-03920948⟩
2 View
5 Download


Gmail Facebook Twitter LinkedIn More