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Physics  1997 

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

DOI: 10.1016/S0550-3213(98)00103-5

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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 $(\otimes\vec\Phi)^{s}$ 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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