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Large-order asymptotic terms in perturbation theory: The first $(4-\epsilon)$-expansion correction to renormalization constants in the $O(n)$-symmetric theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 143 (2005) no. 2, pp. 211-230 Cet article a éte moissonné depuis la source Math-Net.Ru

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We investigate large-order asymptotic terms in the perturbation theory for the $O(n)$ symmetric $\phi^4(4-\epsilon)$-model in the minimal subtraction scheme. Taking the specificity of the $(4-\epsilon)$-minimal-subtraction scheme into account, we calculate corrections to the asymptotic formula for the expansion coefficients of the renormalization constant $Z_g$ and the critical index $\eta$. The resulting corrections essentially improve the asymptotic description of the results in loop calculations.
Keywords: large-order asymptotic terms, instanton, $\phi^4$-model, renormalization constants, minimal subtraction scheme, $(4-\epsilon)$-expansion. 
@article{TMF_2005_143_2_a2,
     author = {M. V. Komarova and M. Yu. Nalimov},
     title = {Large-order asymptotic terms in perturbation theory: {The} first $(4-\epsilon)$-expansion correction to renormalization constants in the $O(n)$-symmetric theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {211--230},
     year = {2005},
     volume = {143},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_143_2_a2/}
}
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M. V. Komarova; M. Yu. Nalimov. Large-order asymptotic terms in perturbation theory: The first $(4-\epsilon)$-expansion correction to renormalization constants in the $O(n)$-symmetric theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 143 (2005) no. 2, pp. 211-230. http://geodesic.mathdoc.fr/item/TMF_2005_143_2_a2/

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