Renormalon disappearance in Borel sum of the 1/N expansion of the Gross-Neveu model mass gap. Auteur(s): Kneur J.-L., Reynaud D. (Article) Publié: Journal Of High Energy Physics, vol. 1 p.014 (2003) Texte intégral en Openaccess : Ref HAL: hal-00324036_v1 Ref Arxiv: hep-th/0111120 DOI: 10.1088/1126-6708/2003/01/014 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote Résumé: The exact mass gap of the O(N) Gross-Neveu model is known, for arbitrary N, from non-perturbative methods. However, a ``naive" perturbative expansion of the pole mass exhibits an infinite set of infrared renormalons at order 1/N, formally similar to the QCD heavy quark pole mass renormalons, potentially leading to large Script O(?) perturbative ambiguities. We examine the precise vanishing mechanism of such infrared renormalons, which avoids this (only apparent) contradiction, and operates without need of (Borel) summation contour prescription, usually preventing unambiguous separation of perturbative contributions. As a consequence we stress the direct Borel summability of the (1/N) perturbative expansion of the mass gap. We briefly speculate on a possible similar behaviour of analogous non-perturbative QCD quantities. |