One-loop RG improvement of the screened massive expansion in the Landau gauge

TL;DR

This paper investigates the one-loop renormalization group improvement of the screened massive expansion in Landau gauge, demonstrating the absence of Landau poles, dynamical gluon mass generation, and excellent lattice data agreement.

Contribution

It introduces a one-loop RG improvement in two schemes, showing improved propagator behavior and matching lattice data with minimal free parameters.

Findings

No Landau pole develops with small initial coupling

Gluon propagators exhibit dynamical mass generation

Excellent agreement with lattice data at one loop

Abstract

The RG improvement of the screened massive expansion is studied at one loop in two renormalization schemes, the momentum subtraction (MOM) scheme and the screened momentum subtraction (SMOM) scheme. The respective Taylor-scheme running couplings are shown not to develop a Landau pole, provided that the initial value of the coupling is sufficiently small. The improved ghost and gluon propagators are found to behave as expected, displaying dynamical mass generation for the gluons and the standard UV limit of ordinary perturbation theory. In the MOM scheme, when optimized by a matching with the fixed-coupling framework, the approach proves to be a powerful method for obtaining propagators which are in excellent agreement with the lattice data already at one loop. After optimization, the gluon mass parameter is left as the only free parameter of the theory and is shown to play the same role of the ordinary perturbative QCD scale $\Lambda_{\text{QCD}}$.