Resurgence of the QCD Adler function

TL;DR

This paper investigates the QCD Adler function in the low to intermediate energy range using a novel resurgence-based method that avoids traditional operator-product-expansion, providing new insights into non-perturbative effects.

Contribution

It introduces a renormalon-based transseries approach within resurgence theory to analyze the Adler function without relying on the operator-product-expansion.

Findings

Demonstrates the effectiveness of resurgence methods in QCD analysis

Provides a new perspective on non-perturbative effects in the Adler function

Offers results consistent with known phenomenology

Abstract

We study the QCD Adler function in the energy region $\approx 0.7-2.5$ GeV, in which the non-perturbative effects become dominant. Our analysis is a renormalon-based evaluation using transseries within the resurgence of the Renormalization-Group-Equation and does not require the Operator-Product-Expansion.