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arXiv · hep-th/9710015

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

S. E. Derkachov·A. N. Manashov
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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 $(\otimes\vecΦ)^{s}$ and $\vecΦ\otimes(\otimes\vec\partial)^{n}\vecΦ$ 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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S. E. Derkachov, A. N. Manashov. 1997-10-02. The simple scheme for the calculation of the anomalous dimensions of composite operators in the 1/N expansion. https://doi.org/10.1016/s0550-3213(98)00103-5

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