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

Autor: S.E. Derkachov, A.N. Manashov
Rok vydání: 1998
Předmět:
Zdroj: Nuclear Physics B. 522:301-320
ISSN: 0550-3213
DOI: 10.1016/s0550-3213(98)00103-5
Popis: 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.
Comment: 20 pages, Latex, uses Feynman.sty
Databáze: OpenAIRE