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Related papers: Ghost dynamics from Schwinger-Dyson equations

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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 study an approximate version of the Schwinger-Dyson equation that controls the nonperturbative behavior of the ghost-gluon vertex, in the Landau gauge. In particular, we focus on the form factor that enters in the dynamical equation for…

High Energy Physics - Phenomenology · Physics 2013-08-16 A. C. Aguilar , D. Ibáñez , J. Papavassiliou

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

The two point gluon and ghost correlation functions and the three gluon vertex are investigated, in the Landau gauge, using lattice simulations. For the two point functions, we discuss the approach to the continuum limit looking at the…

High Energy Physics - Lattice · Physics 2017-04-05 O. Oliveira , A. G. Duarte , D. Dudal , P. J. Silva

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

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 solve the Dyson-Schwinger equations of the ghost and gluon propagators of Landau gauge Yang-Mills theory together with that of the ghost-gluon vertex. The latter plays a central role in many truncation schemes for functional equations.…

High Energy Physics - Theory · Physics 2013-06-25 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

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

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

We present results for the propagators and the ghost-gluon vertex of Landau gauge Yang-Mills theory obtained from Dyson-Schwinger equations. Solving these three quantities simultaneously constitutes a new step in truncating these equations.…

High Energy Physics - Theory · Physics 2013-01-15 Markus Q. Huber , Lorenz von Smekal

We study a special Schwinger-Dyson equation in the context of a pure SU(3) Yang-Mills theory, formulated in the background field method. Specifically, we consider the corresponding equation for the vertex that governs the interaction of two…

High Energy Physics - Phenomenology · Physics 2022-12-14 A. C. Aguilar , M. N. Ferreira , B. M. Oliveira , J. Papavassiliou

We show that a finite non-vanishing ghost dressing function at zero momentum satisfies the scaling properties of the ghost propagator Schwinger-Dyson equation. This kind of Schwinger-Dyson solutions may well agree with lattice data and…

High Energy Physics - Phenomenology · Physics 2010-03-19 Ph. Boucaud , Th. Brüntjen , J. P. Leroy , A. Le Yaouanc , A. Y. Lokhov , J. Micheli , O. Pène , J. Rodríguez-Quintero

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 study numerically the Schwinger-Dyson equations for the coupled system of gluon and ghost propagators in the Landau gauge and in the case of pure gauge QCD. We show that a dynamical mass for the gluon propagator arises as a solution…

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

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 investigate the dressed quark-gluon vertex combining two established non-perturbative approaches to QCD: the Dyson-Schwinger equation (DSE) for the quark propagator and lattice-regularized simulations for the quark, gluon and ghost…

High Energy Physics - Phenomenology · Physics 2015-06-16 E. Rojas , J. P. B. C. de Melo , B. El-Bennich , O. Oliveira , T. Frederico

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 2007-05-23 Andreas Hauck , Reinhard Alkofer , 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

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
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