Nonperturbative properties of Yang–Mills theories

MQ Huber - Physics Reports, 2020 - Elsevier
Yang–Mills theories are an important building block of the standard model and in particular
of quantum chromodynamics. Its correlation functions describe the behavior of its …

Exact nilpotent nonperturbative BRST symmetry for the Gribov-Zwanziger action in the linear covariant gauge

MAL Capri, D Fiorentini, MS Guimaraes, BW Mintz… - Physical Review D, 2015 - APS
Exact nilpotent nonperturbative BRST symmetry for the Gribov-Zwanziger action in the linear
covariant gauge Page 1 Exact nilpotent nonperturbative BRST symmetry for the …

[HTML][HTML] Analytical study of Yang–Mills theory in the infrared from first principles

F Siringo - Nuclear Physics B, 2016 - Elsevier
Abstract Pure Yang–Mills SU (N) theory is studied in the Landau gauge and four
dimensional space. While leaving the original Lagrangian unmodified, a double perturbative …

Analytic structure of QCD propagators in Minkowski space

F Siringo - Physical Review D, 2016 - APS
Analytical functions for the propagators of QCD, including a set of chiral quarks, are derived
by a one-loop massive expansion in the Landau gauge, deep in the infrared. By analytic …

More on the nonperturbative Gribov-Zwanziger quantization of linear covariant gauges

MAL Capri, D Fiorentini, MS Guimaraes, BW Mintz… - Physical Review D, 2016 - APS
In this paper, we discuss the gluon propagator in the linear covariant gauges in D= 2, 3, 4
Euclidean dimensions. Nonperturbative effects are taken into account via the so-called …

Screened massive expansion of the quark propagator in the Landau gauge

G Comitini, D Rizzo, M Battello, F Siringo - Physical Review D, 2021 - APS
The infrared behavior of the quark propagator is studied at one loop and in the Landau
gauge (ξ= 0) using the screened massive expansion of full QCD and three different …

Toward background field independence within the Gribov horizon

IF Justo, AD Pereira, RF Sobreiro - Physical Review D, 2022 - APS
We introduce a background gauge akin to the Landau-DeWitt gauge but deformed by the
presence of a gauge parameter for the quantization of Euclidean Yang-Mills theories. In the …

Renormalizability of the refined Gribov-Zwanziger action in linear covariant gauges

MAL Capri, D Fiorentini, AD Pereira, SP Sorella - Physical Review D, 2017 - APS
The refined Gribov-Zwanziger framework takes into account the existence of equivalent
gauge field configurations in the gauge-fixing quantization procedure of Euclidean Yang …

[HTML][HTML] The universal character of Zwanziger's horizon function in Euclidean Yang–Mills theories

MAL Capri, D Dudal, MS Guimaraes, AD Pereira… - Physics Letters B, 2018 - Elsevier
In light of the recently established BRST invariant formulation of the Gribov–Zwanziger
theory, we show that Zwanziger's horizon function displays a universal character. More …

Local and renormalizable framework for the gauge-invariant operator in Euclidean Yang-Mills theories in linear covariant gauges

MAL Capri, D Fiorentini, MS Guimaraes, BW Mintz… - Physical Review D, 2016 - APS
We address the issue of the renormalizability of the gauge-invariant nonlocal dimension-two
operator A min 2, whose minimization is defined along the gauge orbit. Despite its nonlocal …