The spectrum of the anomalous dimensions of composite operators in the ge-expansion in the N-vector models

Abstract

The spectrum of the anomalous dimensions of the composite operators (with an arbitrary number of fields n and derivatives l) in the N-vector model in first order of the ge-expansion is investigated. The exact solution for the operators with the number of fields ⩽ 4 is presented. The behaviour of the anomalous dimensions in the large- l limit has been analyzed. The qualitative description of the spectrum structure for the operators with an arbitrary number of fields is given.