Gluon Mass Generation from Renormalons and Resurgence

TL;DR

This paper links infrared renormalons, fixed points, and nonperturbative gluon mass generation in Yang-Mills theories, using resurgence analysis to develop a new gluon propagator description that supports the Schwinger mechanism and confinement.

Contribution

It introduces a novel resurgent analysis approach to describe gluon mass generation, connecting renormalons with the Schwinger mechanism in Yang-Mills theories.

Findings

Nonperturbative gluon mass generated in infrared region

Resurgent analysis provides a new gluon propagator description

Comparison of Borel-Ecalle resummation with Kallen-Lehman representation

Abstract

We establish a link between the concepts of infrared renormalons, infrared fixed point, and dynamical nonperturbative mass generation of gluons in pure Yang-Mills theories. By utilizing recent results in the resurgent analysis of renormalons through non-linear ordinary differential equations, we develop a new description for the gluon propagator, thereby realizing the Schwinger mechanism. Specifically, this approach leads to a nonperturbative, dynamic mass generation for Yang-Mills gauge bosons in the deep infrared region, a phenomenon closely associated with color confinement. Furthermore, we present arguments about the limit of applicability of the Borel-Ecalle resummation of the renormalons by comparing it with the Kallen-Lehman representation of the gluon propagator.