A simple scheme for the calculation of the anomalous dimensions of composite operators in the 1/N expansion Original Research Article

A simple method for the calculation of the anomalous dimensions of composite operators up to order 1/N2 is developed. We demonstrate the effectiveness of this approach by computing the critical exponents of the (⊗φ)s and (φ ⊗ (⊗∂)nφ) operators to order 1/N2 in the non-linear σ-model. The special simplifications due to the conformal invariance of the model are discussed.