English

Optimal number of terms in QED series

High Energy Physics - Theory 2013-09-27 v1

Abstract

In 1952 Dyson put forward a simple and powerful argument indicating that the perturbative expansions of QED are asymptotic. His argument can be related to Chandrasekhar's limit on the mass of a star for stability against gravitational collapse. Combining these two arguments we estimate the optimal number of terms of the QED series to be 3.1(137)^{3/2}=5000.

Keywords

Cite

@article{arxiv.1309.6894,
  title  = {Optimal number of terms in QED series},
  author = {Eugene B. Kolomeisky},
  journal= {arXiv preprint arXiv:1309.6894},
  year   = {2013}
}