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Related papers: Ghost dynamics from Schwinger-Dyson equations

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The three-gluon vertex is a basic object of interest in nonabelian gauge theory. It contains important structural information, in particular on infrared divergences, and also figures prominently in the Schwinger-Dyson equations. At the…

High Energy Physics - Phenomenology · Physics 2012-06-11 N. Ahmadiniaz , C. Schubert

The Landau gauge four-gluon vertex is studied using high statistical lattice simulations for several momentum configurations. Furthermore, the outcome of the lattice QCD simulations is compared with calculations performed with continuum…

High Energy Physics - Lattice · Physics 2023-11-30 Manuel Colaço , Orlando Oliveira , Paulo J. Silva

We study the gluon and ghost propagators of SU(2) lattice Landau gauge theory and find their low-momentum behavior being sensitive to the lowest non-trivial eigenvalue (\lambda_1) of the Faddeev-Popov operator. If the gauge-fixing favors…

High Energy Physics - Lattice · Physics 2013-04-05 Andre Sternbeck , Michael Müller-Preussker

We study the Landau gauge gluon and ghost propagators of SU(3) gauge theory, employing the logarithmic definition for the lattice gluon fields and implementing the corresponding form of the Faddeev-Popov matrix. This is necessary in order…

High Energy Physics - Lattice · Physics 2011-05-10 Ernst-Michael Ilgenfritz , Christoph Menz , Michael Müller-Preussker , Arwed Schiller , André Sternbeck

This brief note is devoted to a study of genuine non-perturbative corrections to the Landau gauge ghost-gluon vertex in terms of the non-vanishing dimension-two gluon condensate. We pay special attention to the kinematical limit which the…

High Energy Physics - Phenomenology · Physics 2015-05-30 Ph. Boucaud , D. Dudal , J. P. Leroy , O. Péne , J. Rodríguez-Quintero

The Landau-gauge gluon and ghost correlation functions obtained in lattice simulations can be reproduced qualitatively and, to a certain extent, quantitatively if a gluon mass is added to the standard Faddeev-Popov action. This has been…

High Energy Physics - Theory · Physics 2021-11-29 John A. Gracey , Marcela Peláez , Urko Reinosa , Matthieu Tissier

The coupled system of renormalized Dyson-Schwinger equations for the quark, gluon and ghost propagators of Landau gauge QCD is solved within truncation schemes. These employ bare as well as non-perturbative ansaetze for the vertices such…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian S. Fischer , Reinhard Alkofer

Dynamical gluon mass generation has been traditionally plagued with seagull divergences, and all regularization procedures proposed over the years yield finite but scheme-dependent gluon masses. In this work we show how such divergences can…

High Energy Physics - Phenomenology · Physics 2014-11-20 Arlene C. Aguilar , Joannis Papavassiliou

We present analytical and numerical results for the Dirac form factor of the quark-gluon vertex in the quark symmetric limit, where the incoming and outgoing quark momenta have the same magnitude but opposite sign. To accomplish this, we…

High Energy Physics - Phenomenology · Physics 2013-01-18 A. C. Aguilar , D. Binosi , J. C. Cardona , J. Papavassiliou

We present a numerical study of the lattice Landau gluon and ghost propagators in three-dimensional pure SU(2) gauge theory. Data have been obtained using asymmetric lattices (V = 20^2 X 40, 20^2 X 60, 8^2 X 64, 8^2 X 140, 12^2 X 140 and…

High Energy Physics - Lattice · Physics 2011-07-19 Attilio Cucchieri , Tereza Mendes

We deliver a new scheme to compute the quark propagator and the quark-gluon interaction vertex through the coupled Dyson-Schwinger equations (DSEs) of QCD. We take the three-gluon vertex into account in our calculations, and implement the…

High Energy Physics - Phenomenology · Physics 2019-09-11 Can Tang , Fei Gao , Yu-xin Liu

Both regular (the zero-momentum ghost dressing function not diverging), also named decoupling, and critical (diverging), also named scaling, Yang-Mills propagators solutions can be obtained by analyzing the low-momentum behaviour of the…

High Energy Physics - Phenomenology · Physics 2015-05-27 J. Rodríguez-Quintero

On the occasion of the 70th birthday of Prof. Adriano Di Giacomo we report on recent numerical computations of the Landau gauge gluon and ghost propagators as well as of a non-symmetric MOM-scheme ghost-gluon vertex in quenched and full…

High Energy Physics - Lattice · Physics 2007-05-23 E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck , A. Schiller

Taking place naturally in a gas subject to a given wall temperature distribution [Maxwell1879], the ``ghost effect'' exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem…

Analysis of PDEs · Mathematics 2023-09-20 Raffaele Esposito , Yan Guo , Rossana Marra , Lei Wu

In this paper we study the nonperturbative structure of the SU(3) four-gluon vertex in the Landau gauge, concentrating on contributions quadratic in the metric. We employ an approximation scheme where "one-loop" diagrams are computed using…

High Energy Physics - Phenomenology · Physics 2015-06-22 D. Binosi , D. Ibañez , J. Papavassiliou

In the present work we discuss certain characteristic features encoded in some of the fundamental QCD Green's functions, whose origin can be traced back to the nonperturbative masslessness of the ghost field, in the Landau gauge.…

High Energy Physics - Phenomenology · Physics 2014-04-23 A. C. Aguilar , D. Binosi , D. Ibañez , J. Papavassiliou

We compute the strong coupling constant of Landau gauge QCD in the full complex momentum plane, both directly and via spectral reconstruction. In particular, we consider the Taylor coupling given by the product of ghost and gluon dressing…

High Energy Physics - Phenomenology · Physics 2023-04-28 Jan Horak , Jan M. Pawlowski , Jonas Turnwald , Julian M. Urban , Nicolas Wink , Savvas Zafeiropoulos

The soft gluon limit of the longitudinal part of the quark-gluon vertex is studied by resorting to non-perturbative approaches to Quantum Chromodynamics (QCD). Based on a Slavnov-Taylor identity (STI), the longitudinal form factors is…

High Energy Physics - Phenomenology · Physics 2018-08-01 Orlando Oliveira , T. Frederico , W. de Paula , J. P. B. C de Melo

A recent claim that in quantum chromodynamics the gluon propagator vanishes in the infrared limit, while the ghost propagator is more singular than a simple pole, is investigated analytically and numerically. This picture is shown to be…

High Energy Physics - Phenomenology · Physics 2009-01-14 D. Atkinson , J. C. R. Bloch

Ghost fields have reemerged in a handful of phenomenologically motivated cosmological and particle physics scenarios, and most recently in a cyclic mechanism to address the fine-tuning of gauge couplings in the standard model. We study the…

General Relativity and Quantum Cosmology · Physics 2017-07-11 Stephon Alexander , Sam Cormack , David Lowe , Robert Sims