%0 Conference Proceedings
%T Borel Convergence of the Expansion around RG Max Fixed Point and the Mass Gap of Asymptotically Free Models
%+ Laboratoire de Physique Mathématique et Théorique (PMT)
%A Kneur, Jean-Loic
%< avec comité de lecture
%Z 02-068
%( Nuclear Physics B - Proceedings Supplements
%B QCD 02 9th High-Energy Physics International Conference on Quantum ChromoDynamics
%C Montpellier, France
%I Elsevier
%V 121
%P 222-225
%8 2002-07-10
%D 2002
%R 10.1016/S0920-5632(03)01852-8
%Z Physics [physics]/High Energy Physics - Phenomenology [hep-ph]Conference papers
%X We review a construction based on an expansion around a (mass) fixed point renormalization group solution, in asymptotically free models. It transmutes the usual perturbative expansion of certain physical quantities in such a way that the alternative expansion parameter 1/F behaves like the ordinary coupling: Image in the perturbative regime Image, but like a power of Image in the infrared regime Image (Imagein and Λ being the scale invariant mass and basic scale respectively). (Borel) convergence of the induced series can hold in a range of F corresponding to reach unambiguously the strong coupling infrared regime, near Image. We argue that certain nonperturbative quantities, such as the (pole) mass gap typically, can be thus obtained from a direct resummation of this alternative expansion (i.e. without adding intrinsically nonperturbative power-like contributions).
%G English
%L hal-00268367
%U https://hal.science/hal-00268367
%~ CNRS
%~ UNIV-MONTP2
%~ UNIV-MONTPELLIER
%~ UM1-UM2