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This article is cited in 10 scientific papers (total in 10 papers)
Critical dimensions of composite operators in the nonlinear $\sigma$-model
S. È. Derkacheva, A. N. Manashovb a 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
Citation:
S. È. Derkachev, A. N. Manashov, “Critical dimensions of composite operators in the nonlinear $\sigma$-model”, TMF, 116:3 (1998), 379–400; Theoret. and Math. Phys., 116:3 (1998), 1034–1049
Linking options:
https://www.mathnet.ru/eng/tmf911https://doi.org/10.4213/tmf911 https://www.mathnet.ru/eng/tmf/v116/i3/p379
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Abstract page: | 349 | Full-text PDF : | 217 | References: | 64 | First page: | 1 |
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