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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

The Dyson-Schwinger quark equation is solved for the quark-gluon vertex using the most recent lattice data available in the Landau gauge for the quark, gluon and ghost propagators, the full set of longitudinal tensor structures in the…

High Energy Physics - Phenomenology · Physics 2019-02-20 O. Oliveira , W. de Paula , T. Frederico , J. P. B. C de Melo

We suggest a framework based on the rainbow approximation with effective parameters adjusted to lattice data. The analytic structure of the gluon and ghost propagators of QCD in Landau gauge is analyzed by means of numerical solutions of…

High Energy Physics - Phenomenology · Physics 2018-11-06 L. P. Kaptari , B. Kaempfer , P. Zhang

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

We report on the infrared limit of the quenched lattice Landau gauge gluon and ghost propagators as well as the strong coupling constant computed from large asymmetric lattices. The infrared lattice propagators are compared with the pure…

High Energy Physics - Lattice · Physics 2008-11-26 O. Oliveira , P. J. Silva

A non-perturbative calculation of the ghost-gluon running QCD coupling constant is performed using $N_f=2$ twisted-mass dynamical fermions. The extraction of $\Lambda_{\bar{MS}}$ in the chiral limit reveals the presence of a…

High Energy Physics - Lattice · Physics 2010-10-28 B. Blossier , Ph. Boucaud , F. De soto , V. Morenas , M. Gravina , O. Pène , J. Rodríguez-Quintero

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 2011-04-15 Reinhard Alkofer , Steven Ahlig , Lorenz von Smekal

This is the second of two papers devoted to the perturbative computation of the ghost and gluon propagators in SU(3) Lattice Gauge Theory. Such a computation should enable a comparison with results from lattice simulations in order to…

High Energy Physics - Lattice · Physics 2010-10-27 F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller , C. Torrero

We study the genuine non-perturbative corrections to the Landau gauge ghost-gluon vertex in terms of the non-vanishing dimension-two gluon condensate, and prove these corrections to give account of current SU(2) lattice data for the vertex…

High Energy Physics - Phenomenology · Physics 2011-12-21 J. Rodríguez-Quintero

The infrared behaviour of Landau gauge QCD vertex functions is investigated employing a skeleton expansion of the Dyson-Schwinger and Renormalization Group equations. Results for the ghost-gluon, three-gluon, four-gluon and quark-gluon…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alkofer , C. S. Fischer , F. Llanes-Estrada , K. Schwenzer

We continue the systematic computation of Landau gauge gluon and ghost propagators of SU(2) gluodynamics using a sequence of increasing lattice sizes L^4 up to L=112 with corresponding \beta-values chosen to keep the linear physical size…

High Energy Physics - Lattice · Physics 2013-03-15 I. Bogolubsky , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

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

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

The coupled Dyson-Schwinger equations for the gluon and ghost propagators are investigated in the Landau gauge using a two-loop improved truncation that preserves the multiplicative renormalizability of the propagators. In this truncation…

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

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 present recent results for the Landau-gauge gluon and ghost propagators in SU(3) lattice gluodynamics obtained on a sequence of lattices with linear extension ranging from L=64 to L=96 at $\beta = 5.70$, thus reaching "deep infrared"…

High Energy Physics - Lattice · Physics 2009-05-18 I. L. Bogolubsky , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

We present the first Dyson-Schwinger calculation of the three-gluon vertex in Landau-gauge QCD in which its full covariant structure is back-coupled self-consistently. We truncate a Bose-symmetrized version of the DSE at the level of…

High Energy Physics - Phenomenology · Physics 2014-05-21 Gernot Eichmann , Richard Williams , Reinhard Alkofer , Milan Vujinovic

We study the gluon sector in pure Yang-Mills theories via the computation of two, three and four point Landau gauge gluon correlation functions via LQCD using the Wilson action for Monte-Carlo simulations. The first goal was to use lattice…

High Energy Physics - Lattice · Physics 2021-01-18 Guilherme Telo R. Catumba

The dependence of the Landau gauge two point gluon and ghost correlation functions on the lattice spacing and on the physical volume are investigated for pure SU(3) Yang-Mills theory in four dimensions using lattice simulations. We present…

High Energy Physics - Lattice · Physics 2016-07-13 Anthony G. Duarte , Orlando Oliveira , Paulo J. Silva

Truncated Dyson-Schwinger equations represent finite subsets of the equations of motion for Green's functions. Solutions to these non-linear integral equations can account for non-perturbative correlations. A closed set of coupled…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andreas Hauck , Lorenz von Smekal , Reinhard Alkofer