Large-Order Asymptotes for Dynamic Models Near Equilibrium

TL;DR

This paper applies instanton analysis to model A of critical dynamics, revealing that the static instanton of the massless φ⁴ model governs the large-order asymptotic behavior of the dynamic model's perturbation series.

Contribution

It demonstrates that static instantons determine the large-order asymptotes of dynamic models near equilibrium, linking static and dynamic critical phenomena.

Findings

Static instanton of massless φ⁴ model influences dynamic asymptotics

Large-order behavior of perturbation series is governed by static instantons

Provides insight into the connection between static and dynamic critical models

Abstract

Instanton analysis is applied to model A 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 the dynamic model.