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We compute the full non-perturbative ghost and gluon two-point Green functions by using gauge field configurations with $\nf=2$ and $\nf=2+1+1$ twisted-mass quark flavours. We use simulations with several different light quark masses, heavy…

High Energy Physics - Phenomenology · Physics 2015-06-11 A. Ayala , A. Bashir , D. Binosi , M. Cristoforetti , J. Rodríguez-Quintero

We present the perturbative and non-perturbative QCD structure of the dipole-dipole scattering amplitude in momentum space. The perturbative contribution is described by two-gluon exchange and the non-perturbative contribution by the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. I. Shoshi , F. D. Steffen , H. G. Dosch , H. J. Pirner

An introduction is given into current lattice investigations of the non-perturbative gluon and ghost propagators, in the light of the Gribov-Zwanziger and Kugo-Ojima scenarios of confinement, in the context of results obtained from the…

High Energy Physics - Phenomenology · Physics 2007-09-04 E. -M. Ilgenfritz

We summarise an analysis of the infrared regime of Landau gauge QCD by means of a flow equation approach. The infrared behaviour of gluon and ghost propagators is evaluated. The results provide further evidence for the Kugo-Ojima…

High Energy Physics - Theory · Physics 2007-05-23 J. M. Pawlowski , D. F. Litim , S. Nedelko , L. von Smekal

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

Recent progress in the solution of Schwinger-Dyson equations (SDE), as well as lattice simulation of pure glue QCD, indicate that the gluon propagator and coupling constant are infrared (IR) finite. We discuss how this non-perturbative…

High Energy Physics - Phenomenology · Physics 2011-07-14 A. A. Natale

This contribution summarizes a presentation combining two topics in lattice QCD. Firstly, the gluon propagator in Landau gauge is calculated in quenched QCD on a large (32^3x64) lattice at beta=6.0. New structure seen in the infrared region…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. G. Williams

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

We give a brief review of an elementary extension of the Pinch Technique (PT) that yields renormalization-group invariant (RGI) Green's functions, called PT-RGI. These are also gauge- and process-independent, show dimensional transmutation,…

High Energy Physics - Phenomenology · Physics 2012-11-12 John M. Cornwall

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

Landau gauge gluon propagators are studied numerically in the SU(3) gluodynamics as well as in the full QCD with the number of flavors $n_F=2$ using efficient gauge fixing technique. We compare these propagators at temperatures very close…

High Energy Physics - Lattice · Physics 2015-05-27 V. G. Bornyakov , V. K. Mitrjushkin

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

We compute the running QCD coupling on the lattice by evaluating two-point and three-point off-shell gluon Green's functions in a fixed gauge and imposing non-perturbative renormalisation conditions on them. Our exploratory study is…

High Energy Physics - Lattice · Physics 2009-03-09 B. Alles , D. S. Henty , H. Panagopoulos , C. Parrinello , C. Pittori , D. G. Richards

QCD-based analysis of nonfactorizable parts of weak nonleptonic amplitudes is reported. Nonperturbative effects due to soft gluon exchange play a key role leading to the emergence of a dynamical rule of discarding $1/N_c$ corrections.

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Blok , M. Shifman

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

It is well known that, in Landau gauge, the renormalization function of the ghost-ghost-gluon vertex \widetilde{Z}_1(p^2) is finite and constant, at least to all orders of perturbation theory. On the other hand, a direct non-perturbative…

High Energy Physics - Lattice · Physics 2009-11-10 A. Mihara , A. Cucchieri , T. Mendes

We study the gluon and ghost propagators of lattice Landau gauge in the strong-coupling limit beta=0 in pure SU(2) lattice gauge theory to find evidence of the conformal infrared behavior of these propagators as predicted by a variety of…

High Energy Physics - Lattice · Physics 2014-11-18 Andre Sternbeck , Lorenz von Smekal

The non-perturbative structure of the photon and gluon propagators plays an important role in governing the dynamics of quantum electrodynamics (QED) and quantum chromodynamics (QCD) respectively. Although it is often assumed that these…

High Energy Physics - Theory · Physics 2017-09-21 Peter Lowdon

The gluon propagator is calculated in quenched QCD for two different lattice sizes (16^3x48 and 32^3x64) at beta=6.0. The volume dependence of the propagator in Landau gauge is studied. The smaller lattice is instrumental in revealing…

High Energy Physics - Lattice · Physics 2009-12-30 D. B. Leinweber , C. Parrinello , J. I. Skullerud , A. G. Williams

We study the gluon and ghost propagators of lattice Landau gauge in the strong coupling limit $\beta = 0$ in pure SU(2) lattice gauge theory to find evidence of the conformal infrared behaviour of these propagators as predicted by a variety…

High Energy Physics - Lattice · Physics 2010-01-21 Andre Sternbeck , Lorenz von Smekal
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