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Related papers: Ghost propagator and ghost-gluon vertex from Schwi…

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We derive an approximate dynamical equation for the form-factor of the ghost-gluon vertex that contributes to the Schwinger-Dyson equation of the ghost dressing function in the Landau gauge. In particular, we consider the "one-loop dressed"…

High Energy Physics - Phenomenology · Physics 2014-01-23 A. C. Aguilar

We present a detailed study of the dynamics associated with the ghost sector of quenched QCD in the Landau gauge, where the relevant dynamical equations are supplemented with key inputs originating from large-volume lattice simulations. In…

High Energy Physics - Phenomenology · Physics 2021-09-29 A. C. Aguilar , C. O. Ambrósio , F. De Soto , M. N. Ferreira , B. M. Oliveira , J. Papavassiliou , J. Rodríguez-Quintero

We discuss the coupled dynamics of the ghost dressing function and the ghost-gluon vertex through the Schwinger-Dyson equations that they satisfy. In order to close the system of equations, we combine recent lattice data for the gluon…

High Energy Physics - Phenomenology · Physics 2023-04-24 M. N. Ferreira

The non-perturbative gluon and ghost propagators in Landau gauge QCD are obtained using the Schwinger-Dyson equation approach. The propagator equations are solved in Euclidean space using Landau gauge with a range of vertex inputs.…

High Energy Physics - Phenomenology · Physics 2015-03-19 D. J. Wilson , M. R. Pennington

The Gluon and Ghost propagators in Landau gauge QCD are investigated using the Schwinger-Dyson equation approach. Working in Euclidean spacetime, we solve for these propagators using a selection of vertex inputs, initially for the ghost…

High Energy Physics - Phenomenology · Physics 2012-01-12 M. R. Pennington , D. J. Wilson

In this work we compute, at the "one-loop-dressed" level, the nonperturbative contribution of the ghost loops to the self-energy of the gluon propagator, in the Landau gauge. This is accomplished within the PT-BFM formalism, which…

High Energy Physics - Phenomenology · Physics 2015-05-30 A. C. Aguilar , D. Binosi , J. Papavassiliou

We solve numerically the Schwinger-Dyson (SD hereafter) ghost equation in the Landau gauge for a given gluon propagator finite at k=0 (alpha_gluon=1) and with the usual assumption of constancy of the ghost-gluon vertex ; we show that there…

High Energy Physics - Phenomenology · Physics 2010-03-19 Ph. Boucaud , J-P. Leroy , A. Le Yaouanc , J. Micheli , O. Pene , J. Rodriguez--Quintero

We study the low-momentum ghost propagator Dyson-Schwinger equation (DSE) in Landau gauge, assuming for the truncation a constant ghost-gluon vertex, as it is extensively done, and a simple model for a massive gluon propagator. Then,…

High Energy Physics - Phenomenology · Physics 2016-08-14 Ph. Boucaud , M. E. Gómez , J. P. Leroy , A. Le Yaouanc , J. Micheli , O. Pène , J. Rodríguez-Quintero

We study a manifestly gauge invariant set of Schwinger-Dyson equations to determine the nonperturbative dynamics of the gluon and ghost propagators in $d=3$ Yang-Mills. The use of the well-known Schwinger mechanism, in the Landau gauge,…

High Energy Physics - Phenomenology · Physics 2011-02-28 A. C. Aguilar , D. Binosi , J. Papavassiliou

The ghost-gluon scattering kernel is a special correlation function that is intimately connected with two fundamental vertices of the gauge sector of QCD: the ghost-gluon vertex, which may be obtained from it through suitable contraction,…

High Energy Physics - Phenomenology · Physics 2019-03-11 A. C. Aguilar , M. N. Ferreira , C. T. Figueiredo , J. Papavassiliou

We demonstrate how to obtain from the Schwinger-Dyson equations of QCD an infrared finite ghost propagator in the Feynman gauge. The key ingredient in this construction is the longitudinal form factor of the non-perturbative gluon-ghost…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. C. Aguilar , J. Papavassiliou

We discuss a non-perturbative lattice calculation of the ghost and gluon propagators in the pure Yang-Mills theory in Landau gauge. The ultraviolet behaviour is checked up to NNNLO yielding the value…

High Energy Physics - Lattice · Physics 2007-05-23 A. Y. Lokhov , Ph. Boucaud , J. P. Leroy , A. Le Yaouanc , J. Micheli , O. Pène , J. Rodríguez-Quintero , C. Roiesnel

Non-perturbative formalism of the generalized effective action is used for deriving the Schwinger-Dyson equations. In order to clear the domain of integration in the functional integral from gauge copies a restriction to the Gribov horizon…

High Energy Physics - Theory · Physics 2007-05-23 P. O. Fedosenko

The gauge-boson, ghost and fermion propagators as well as the gauge-boson--ghost vertex function are studied for SU(N), Sp(2N) and SO(N) gauge groups. We solve a set of coupled Dyson-Schwinger equations in Landau gauge for a variable,…

High Energy Physics - Phenomenology · Physics 2024-03-22 Fabian Zierler , Reinhard Alkofer

Correlation functions are important probes for the behavior of quantum field theories. Already at tree-level, the Refined Gribov Zwanziger (RGZ) effective action for Yang-Mills theories provides a good approximation for the gluon…

High Energy Physics - Phenomenology · Physics 2024-05-28 Nahuel Barrios , Marcelo S. Guimaraes , Bruno W. Mintz , Letícia F. Palhares , Marcela Peláez

We study the non-perturbative behavior of two versions of the QCD effective charge, one obtained from the pinch technique gluon self-energy, and one from the ghost-gluon vertex. Despite their distinct theoretical origin, due to a…

High Energy Physics - Phenomenology · Physics 2009-10-29 A. C. Aguilar , D. Binosi , J. Papavassiliou , J. Rodriguez-Quintero

We study the nonperturbative gluon and ghost propagators in d=3 Yang-Mills, using the Schwinger-Dyson equations of the pinch technique. The use of the Schwinger mechanism leads to the dynamical generation of a gluon mass, which, in turn,…

High Energy Physics - Phenomenology · Physics 2011-08-04 Joannis Papavassiliou

We present results for the gluon and ghost propagators and the ghost-gluon vertex obtained from Dyson-Schwinger equations. In the zero temperature case we elaborate on the role of the three-gluon vertex and discuss a model that can capture…

High Energy Physics - Lattice · Physics 2013-11-05 Markus Q. Huber , Lorenz von Smekal

We investigate the Dyson-Schwinger equations for the gluon and ghost propagators and the ghost-gluon vertex of Landau-gauge gluodynamics in two dimensions. While this simplifies some aspects of the calculations as compared to three and four…

High Energy Physics - Theory · Physics 2012-11-20 Markus Q. Huber , Axel Maas , Lorenz von Smekal

A truncation scheme for the Dyson-Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov-Taylor identities for the 3-point vertex functions. Neglecting contributions from 4-point correlations such as the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Lorenz von Smekal , Andreas Hauck , Reinhard Alkofer
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