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arXiv · 2201.10806

Self-similar sequence transformation for critical exponents

V. I. Yukalov·E. P. Yukalova
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Abstract

Self-similar sequence transformation is an original type of nonlinear sequence transformations allowing for defining effective limits of asymptotic sequences. The method of self-similar factor transformations is shown to be regular. This method is applied for calculating the critical exponents of the $O(N)$-symmetric $\varphi^4$ theory in three dimensions by summing asymptotic $\varepsilon$ expansions. It is shown that this method is straightforward and essentially simpler than other summation techniques involving complicated numerical calculations, while enjoying comparable accuracy.

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BibTeXRIS

V. I. Yukalov, E. P. Yukalova. 2022-01-26. Self-similar sequence transformation for critical exponents. https://arxiv.org/abs/2201.10806

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