Three lectures on the Curci-Ferrari model

TL;DR

This paper reviews the Curci-Ferrari model as an effective approach to Landau gauge-fixed Yang-Mills theories, detailing one-loop correlator calculations and renormalization group flow analysis to compare with lattice data.

Contribution

It provides a detailed one-loop calculation of correlators and analyzes the renormalization group flow within the Curci-Ferrari model, connecting theoretical predictions with lattice results.

Findings

Successful comparison of one-loop correlators with lattice data

Analysis of the model's renormalization group flow

Insights into the infrared behavior of Landau gauge YM theories

Abstract

In these lectures, we review the status of the Curci-Ferrari model as a phenomenological approach to Landau gauge-fixed YM theories in the infrared. More precisely, after discussing some of the general properties of the model, we explain in full detail the evaluation of the one-loop two-point correlators that allowed for a successful comparison to the corresponding Landau-gauge lattice data. We also review the renormalization group flow of the model which controls its fate at high and low momentum scales.