Instantons for Dynamic Models from B to H

TL;DR

This paper applies instanton analysis to dynamic models B through H, revealing that static instantons determine the asymptotic behavior of perturbation series, which grow factorially with order.

Contribution

It demonstrates that static instantons from the massless φ^4 model govern the large-order asymptotics of dynamic models B-H, linking static and dynamic critical phenomena.

Findings

Large-order perturbation series grow factorially.

Static instantons determine asymptotic behavior.

Analysis applies to models B-H of critical dynamics.

Abstract

Instanton analysis is applied to models B--H of critical dynamics. It is shown that the static instanton of the massless $\phi^{4}$ model determines the large-order asymptotes of the perturbation expansion of these near-equilibrium dynamic models leading to factorial growth with the order of perturbation theory.