English

Calculating critical temperature and critical exponents by self-similar approximants

Statistical Mechanics 2022-05-12 v1 High Energy Physics - Phenomenology Mathematical Physics math.MP

Abstract

Self-similar approximation theory allows for defining effective sums of asymptotic series. The method of self-similar factor approximants is applied for calculating the critical temperature and critical exponents of the O(N)O(N)-symmetric φ4\varphi^4 field theory in three dimensions by summing asymptotic ε\varepsilon expansions. This method is shown to be essentially simpler than other summation techniques involving complicated numerical calculations, while enjoying comparable accuracy.

Keywords

Cite

@article{arxiv.2205.05495,
  title  = {Calculating critical temperature and critical exponents by self-similar approximants},
  author = {V. I. Yukalov and E. P. Yukalova},
  journal= {arXiv preprint arXiv:2205.05495},
  year   = {2022}
}

Comments

Latex file, 14 pages. arXiv admin note: substantial text overlap with arXiv:2201.10806