Eur. Phys. J. B 55, 93-99 (2007)
https://doi.org/10.1140/epjb/e2007-00044-4

Calculation of critical exponents by self-similar factor approximants

¹ Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, 141980, Russia
² Department of Technology and Economics, Swiss Federal Institute of Technology, 8032 Zürich, Switzerland
³ Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna, 141980, Russia

Corresponding author: ^a yukalov@if.sc.usp.br

Received: 20 November 2006
Published online: 9 February 2007

Abstract

The method of self-similar factor approximants is applied to calculating the critical exponents of the O(N)-symmetric ϕ⁴ theory and of the Ising glass. It is demonstrated that this method, being much simpler than other known techniques of series summation in calculating the critical exponents, at the same time, yields the results that are in very good agreement with those of other rather complicated numerical methods. The principal advantage of the method of self-similar factor approximants is the combination of its extraordinary simplicity and high accuracy.