Geodesic
Borel resummation of the $\varepsilon$-expansion of the dynamical exponent $z$ in model A of the $\phi^4(O(n))$ theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 1, pp. 96-108 Cet article a éte moissonné depuis la source Math-Net.Ru

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We perform the Borel resummation of the currently known terms of the $\varepsilon$-expansion up to order $\varepsilon^4$ of the dynamical exponent $z$ in the critical-behavior model A. We obtain the large-order asymptotic approximation of the $\varepsilon$-expansion of the dynamical exponent and find a significant discrepancy between the currently calculated orders of the expansion and the obtained asymptotic values. We discuss the influence of this deviation on the accuracy of the resummation results.
Keywords: Borel resummation, dynamical exponent, critical behavior, large-order asymptotic approximation. 
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     title = {Borel resummation of the~$\varepsilon$-expansion of the~dynamical exponent $z$ in {model~A} of the~$\phi^4(O(n))$ theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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M. Yu. Nalimov; V. A. Sergeev; L. Sladkoff. Borel resummation of the $\varepsilon$-expansion of the dynamical exponent $z$ in model A of the $\phi^4(O(n))$ theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 1, pp. 96-108. http://geodesic.mathdoc.fr/item/TMF_2009_159_1_a5/

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