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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 374, Pages 136–169
(Mi znsl3599)
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This article is cited in 5 scientific papers (total in 5 papers)
On the spectrum of anomalous dimensions of composite operators in the scalar field theory
S. E. Derkachova, A. N. Manashovb a St. Petersburg Department of V. A. Steklov Institute of Mathematics, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia
Abstract:
In the one-loop approximation the problem of the diagonalization of the mixing matrix is equivalent some quantum mechanical eigenvalue problem. For the illustration of this technik we consider two simplest examples of the scalar field theories. Bibl. – 27 titles.
Key words and phrases:
renormalization of composite operators, mixing matrix, anomalous dimensions, conformal invariance.
Received: 10.02.2010
Citation:
S. E. Derkachov, A. N. Manashov, “On the spectrum of anomalous dimensions of composite operators in the scalar field theory”, Questions of quantum field theory and statistical physics. Part 21, Zap. Nauchn. Sem. POMI, 374, POMI, St. Petersburg, 2010, 136–169; J. Math. Sci. (N. Y.), 168:6 (2010), 837–855
Linking options:
https://www.mathnet.ru/eng/znsl3599 https://www.mathnet.ru/eng/znsl/v374/p136
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Abstract page: | 305 | Full-text PDF : | 103 | References: | 47 |
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