The simple scheme for the calculation of the anomalous dimensions of composite operators in the 1/N expansion

Abstract

The simple method for the calculating of the anomalous dimensions of the composite operators up to 1/N^2 order is developed. We demonstrate the effectiveness of this approach by computing the critical exponents of the $(\otimes \vec{\Phi }{)}^s$ and $\vec{\Phi }\otimes (\otimes \vec{\partial }{)}^n\vec{\Phi }$ operators in the 1/N^2 order in the nonlinear sigma model. The special simplifications due to the conformal invariance of the model are discussed.

20 pages, Latex, uses Feynman.sty

References in corpus (2)

• The four-loop beta-function in Quantum Chromodynamics
• On the stability problem in the O(N) nonlinear sigma model

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