Geodesic
Asymptotic Behavior of Renormalization Constants in Higher Orders of the Perturbation Expansion for the $(4?\epsilon)$-Dimensionally Regularized $O(n)$-Symmetric $\phi^4$ Theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 126 (2001) no. 3, pp. 409-426

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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. 
@article{TMF_2001_126_3_a3,
     author = {M. V. Komarova and M. Yu. Nalimov},
     title = {Asymptotic {Behavior} of {Renormalization} {Constants} in {Higher} {Orders} of the {Perturbation} {Expansion} for the $(4?\epsilon)${-Dimensionally} {Regularized} $O(n)${-Symmetric} $\phi^4$ {Theory}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {409--426},
     publisher = {mathdoc},
     volume = {126},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_126_3_a3/}
}
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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. Teoretičeskaâ i matematičeskaâ fizika, Tome 126 (2001) no. 3, pp. 409-426. http://geodesic.mathdoc.fr/item/TMF_2001_126_3_a3/