Geodesic
Asymptotic Behavior of Higher-Order Perturbations: Scaling Functions of the $O(n)$-Symmetric $\phi^4$-Theory in the $(4-\epsilon)$-Expansion
Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 3, pp. 387-402

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We use an instantonic approach to calculate the asymptotic behavior of higher orders of the $(4-\epsilon)$-expansion for the scaling function of the pair correlator of the $O(n)$-symmetric $\phi^4$-theory in the minimal subtraction scheme. Our results differ substantially from the known exact expression for the $\epsilon^3$ order of the expansion of the scaling function in the small-$\tau$ domain. 
@article{TMF_2001_129_3_a2,
     author = {M. V. Komarova and M. Yu. Nalimov},
     title = {Asymptotic {Behavior} of {Higher-Order} {Perturbations:} {Scaling} {Functions} of the $O(n)${-Symmetric} $\phi^4${-Theory} in the $(4-\epsilon)${-Expansion}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {387--402},
     publisher = {mathdoc},
     volume = {129},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_129_3_a2/}
}
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M. V. Komarova; M. Yu. Nalimov. Asymptotic Behavior of Higher-Order Perturbations: Scaling Functions of the $O(n)$-Symmetric $\phi^4$-Theory in the $(4-\epsilon)$-Expansion. Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 3, pp. 387-402. http://geodesic.mathdoc.fr/item/TMF_2001_129_3_a2/