On the structure of nonleading logarithms

Abstract

A recursive procedure for expressing all nonleading logarithms in terms of the coefficients of the β-function and the anomalous dimensions is derived. A part of the nonleading logarithms, which dominates not far from the Landau singularity, is summed to all orders. The behaviour of the running coupling constant in this region is different from that predicted by the simple Landau pole.