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arXiv · 2603.08460

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

Santiago Cabrera·Marcela Peláez·Matthieu Tissier
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Abstract

We present the one-loop computation of the quark propagator in the Curci-Ferrari-Delbourgo- Jarvis (CFDJ) gauge, extending previous analyses to include dynamical quarks. Using the infrared- safe renormalization scheme, we study how finite gauge parameters affect the infrared behavior of QCD 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. These results establish the CFDJ gauge as a possible infrared-safe setting candidate for perturbative QCD with massive gluons. In the case of a consistency check from lattice calculations, it could provide a basis for future studies of the quark-gluon vertex and related observables.

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Santiago Cabrera, Marcela Peláez, Matthieu Tissier. 2026-03-09. Effects of fermions in one-loop propagators in the Curci-Ferrari-Delbourgo-Jarvis gauge. https://doi.org/10.1103/1wnn-xplc

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