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
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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},
publisher = {mathdoc},
volume = {143},
number = {2},
year = {2005},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2005_143_2_a2/}
}
TY - JOUR AU - M. V. Komarova AU - M. Yu. Nalimov TI - Large-order asymptotic terms in perturbation theory: The first $(4-\epsilon)$-expansion correction to renormalization constants in the $O(n)$-symmetric theory JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2005 SP - 211 EP - 230 VL - 143 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2005_143_2_a2/ LA - ru ID - TMF_2005_143_2_a2 ER -
%0 Journal Article %A M. V. Komarova %A M. Yu. Nalimov %T Large-order asymptotic terms in perturbation theory: The first $(4-\epsilon)$-expansion correction to renormalization constants in the $O(n)$-symmetric theory %J Teoretičeskaâ i matematičeskaâ fizika %D 2005 %P 211-230 %V 143 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2005_143_2_a2/ %G ru %F TMF_2005_143_2_a2
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/