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This article is cited in 21 scientific papers (total in 21 papers)
Asymptotic Behavior of Renormalization Constants in Higher Orders of the Perturbation Expansion for the $(4?\epsilon)$-Dimensionally Regularized $O(n)$-Symmetric $\phi^4$ Theory
M. V. Komarova, M. Yu. Nalimov Saint-Petersburg State University
Abstract:
Higher-order asymptotic expansions for renormalization constants and critical exponents of the $O(n)$-symmetric $\phi^4$ theory are found based on the instanton approach in the minimal subtraction scheme for the $(4-\epsilon)$-dimensional regularization. The exactly known expansion terms differ substantially from their asymptotic values. We find expressions that improve the asymptotic expansions for unknown expansion terms of the renormalization constants.
Received: 21.09.2000
Citation:
M. V. Komarova, M. Yu. Nalimov, “Asymptotic Behavior of Renormalization Constants in Higher Orders of the Perturbation Expansion for the $(4?\epsilon)$-Dimensionally Regularized $O(n)$-Symmetric $\phi^4$ Theory”, TMF, 126:3 (2001), 409–426; Theoret. and Math. Phys., 126:3 (2001), 339–353
Linking options:
https://www.mathnet.ru/eng/tmf438https://doi.org/10.4213/tmf438 https://www.mathnet.ru/eng/tmf/v126/i3/p409
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Abstract page: | 630 | Full-text PDF : | 245 | References: | 74 | First page: | 1 |
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