Analytic perturbation theory versus 1/N expansion in the Gross-Neveu model

Abstract

The 1/N expansion can be successfully used to calculate the Green functions of the two-dimensional O(2N) Gross - Neveu model. In parallel, the methods of analytic perturbation theory are also applied. Comparing the results of these two calculations at leading order, we report on the surprising agreement between them.

Latex, 3 figures, 4 pages

References in corpus (1)

• Ten years of the Analytic Perturbation Theory in QCD

Cited by in corpus (2)

• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• Novel Sets of Coupling Expansion Parameters for low-energy pQCD