Borel resummation of the ɛ-expansion of the dynamical exponent z in model a of the ϕ4(O(n)) theory

We perform the Borel resummation of the currently known terms of the ɛ-expansion up to order ɛ 4 of the dynamical exponent z in the critical-behavior model A. We obtain the large-order asymptotic approximation of the ɛ-expansion of the dynamical exponent and find a significant discrepancy between th...

Full description

Saved in:
Bibliographic Details
Published inTheoretical and mathematical physics Vol. 159; no. 1; pp. 499 - 508
Main Authors Nalimov, M. Yu, Sergeev, V. A., Sladkoff, L.
Format Journal Article
LanguageEnglish
Published Boston Springer US 2009
Subjects
Applications of Mathematics
Mathematical and Computational Physics
Physics
Physics and Astronomy
Theoretical
large-order asymptotic approximation
Borel resummation
dynamical exponent
critical behavior
Online AccessGet full text

Cover

More Information
Summary:We perform the Borel resummation of the currently known terms of the ɛ-expansion up to order ɛ 4 of the dynamical exponent z in the critical-behavior model A. We obtain the large-order asymptotic approximation of the ɛ-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.
ISSN:0040-5779
1573-9333
DOI:10.1007/s11232-009-0040-4