Critical dimensions of composite operators in the nonlinear sigma-model

Authors
Derkachov, SE Manashov, AN
Citation
Se. Derkachov et An. Manashov, Critical dimensions of composite operators in the nonlinear sigma-model, THEOR MATH, 116(3), 1998, pp. 1034-1049
Citations number
25
Categorie Soggetti
Physics
Journal title
THEORETICAL AND MATHEMATICAL PHYSICS
ISSN journal
00405779 → ACNP
Volume
116
Issue
3
Year of publication
1998
Pages
1034 - 1049
Database
ISI
SICI code
0040-5779(199809)116:3<1034:CDOCOI>2.0.ZU;2-E
Abstract
A general scheme for calculating critical exponents of an arbitrary system of composite operators mixed by a renormalization procedure is presented us ing 1/N expansion. Restrictions imposed on the mixing matrix by the conform al invariance are investigated. The anomalous dimensions of all powerlike p roducts of an auxiliary field are calculated up to the second order in 1/N.