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

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

1997-10-02

arxiv.org/abs/hep-th/9710015v1

Nucl.Phys. B522 (1998) 301-320

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, Latex, uses Feynman.sty

Scientific paper

10.1016/S0550-3213(98)00103-5

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.

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