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Effects of fermions in one-loop propagators in the Curci-Ferrari-Delbourgo-Jarvis gauge

Santiago Cabrera

Marcela Peláez

Matthieu Tissier

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Phys. Rev. D 114, 034032 – Published 14 August, 2026

DOI: https://doi.org/10.1103/1wnn-xplc

Abstract

We present the one-loop computation of the quark propagator of the Curci-Ferrari model, extending previous analyses to include dynamical quarks. This model contains a mass for the gluons and ghosts that tame the infrared behavior of the theory. Using the infrared-safe renormalization scheme, we study how finite gauge parameters affect the infrared behavior of the correlation functions. The coupling, gluon mass, and gauge parameter are found to freeze below a finite energy scale, confirming the infrared stability of the framework. The quark dressing function Z(p) shows a change in concavity between the Landau and finite-ξ cases, suggesting that nonvanishing gauges may better reproduce lattice trends at one-loop order. These results establish the CFDJ gauge as a possible infrared-safe setting candidate for perturbative QCD with massive gluons. This work may provide a basis for future lattice studies of the quark-gluon vertex and related observables in this gauge.

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Phys. Rev. D 114, 034032– Published 14 August, 2026
  • Received 17 March 2026
  • Accepted 5 June 2026
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