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

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Hauptverfasser: Cabrera, Santiago, Peláez, Marcela, Tissier, Matthieu
Format: Preprint
Veröffentlicht: 2026
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author Cabrera, Santiago
Peláez, Marcela
Tissier, Matthieu
author_facet Cabrera, Santiago
Peláez, Marcela
Tissier, Matthieu
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_08460
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Effects of fermions in one-loop propagators in the Curci-Ferrari-Delbourgo-Jarvis gauge
Cabrera, Santiago
Peláez, Marcela
Tissier, Matthieu
High Energy Physics - Theory
High Energy Physics - Lattice
High Energy Physics - Phenomenology
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.
title Effects of fermions in one-loop propagators in the Curci-Ferrari-Delbourgo-Jarvis gauge
topic High Energy Physics - Theory
High Energy Physics - Lattice
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2603.08460