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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 159, Number 1, Pages 96–108
DOI: https://doi.org/10.4213/tmf6335 (Mi tmf6335) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Borel resummation of the $\varepsilon$-expansion of the dynamical exponent $z$ in model A of the $\phi^4(O(n))$ theory

M. Yu. Nalimov, V. A. Sergeev, L. Sladkoff

Saint-Petersburg State University
Full-text PDF (461 kB) Citations (18)
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DOI: https://doi.org/10.4213/tmf6335
Abstract: 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.
Received: 11.08.2008
English version:
Theoretical and Mathematical Physics, 2009, Volume 159, Issue 1, Pages 499–508
DOI: https://doi.org/10.1007/s11232-009-0040-4
Bibliographic databases:
Language: Russian
Citation: 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”, TMF, 159:1 (2009), 96–108; Theoret. and Math. Phys., 159:1 (2009), 499–508
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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