Selfsimilar sequence transformation for critical exponents
Abstract
Selfsimilar sequence transformation is an original type of nonlinear sequence transformations allowing for defining effective limits of asymptotic sequences. The method of selfsimilar 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.
 Publication:

arXiv eprints
 Pub Date:
 January 2022
 arXiv:
 arXiv:2201.10806
 Bibcode:
 2022arXiv220110806Y
 Keywords:

 Condensed Matter  Statistical Mechanics;
 High Energy Physics  Phenomenology;
 Mathematical Physics
 EPrint:
 Latex file, 14 pages, 8 tables