Nonperturbative effects and infrared renormalons within the 1/ N expansion of the O( N) nonlinear sigma model
Abstract
We analyze the structure of the Borel transform of the twodimensional O( N) nonlinear σ model within its {1}/{N} expansion. We check the existence of IR singularities (IR renormalons) and the presence of nonperturbative terms which organize themselves in an operator expansion à la ShifmanVainshteinZakharov. We prove that renormalons cancel between the different terms of the operator expansion, so that there is a welldefined resummation procedure of the perturbative series. We suggest that this mechanism provides a general solution of the IR renormalons problem for massless UV free field theories.
 Publication:

Nuclear Physics B
 Pub Date:
 December 1982
 DOI:
 10.1016/05503213(82)902668
 Bibcode:
 1982NuPhB.209..433D