This article is cited in 10 papers

Critical dimensions of composite operators in the nonlinear $\sigma$-model

S. È. Derkachev^a, A. N. Manashov<sup>b

a</sup> State Technological Institute of St. Petersburg
^b Saint-Petersburg State University

Abstract: A general scheme for calculating critical exponents of an arbitrary system of composite operators mixed by a renormalization procedure is presented using $1/N$ expansion. Restrictions imposed on the mixing matrix by the conformal invariance are investigated. The anomalous dimensions of all powerlike products of an auxiliary field are calculated up to the second order in $1/N$.

Received: 18.03.1998

DOI: 10.4213/tmf911

 English version: Theoretical and Mathematical Physics, 1998, 116:3, 1034–1049

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