Prediction of the higher-order terms based on Borel resummation with conformal mapping

TL;DR

This paper explores a resummation technique for asymptotic series using Borel resummation with conformal mapping, applied specifically to the $^4$ model, to predict higher-order terms.

Contribution

It introduces a method for predicting higher-order terms in asymptotic series using Borel resummation with conformal mapping, extending previous approaches.

Findings

Effective prediction of higher-order terms demonstrated

Application to $^4$ model shows promising results

Method builds on Kazakov et al.'s approach

Abstract

In this paper we discuss the method of the resummation of the asymptotic series suggested by Kazakov et al. (1978) and predictions of the higher order terms based on this approach. Application of this method to $\varphi^4$ model is discussed.