Non-Perturbative Effects in the Exact S-Matrices of the O(N) Gross-Neveu and Supersymmetric sigma Models

摘要

The factorization of non-perturbative effects in the S-matrices of the O(N) Gross-Neveu and O(N) supersymmetric sigma models are examined. It is found that in both cases, the S-matrices can be written in terms of a function of the non-perturbative mass and a convergent power series in an effective coupling constant, at each order in 1/N.