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We establish exactly and uniquely the infrared structure of the full gluon propagator in QCD, not solving explicitly the corresponding dynamical equation of motion. By construction, this structure is an infinite sum over all possible severe…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Gogohia

We present a non-perturbative multiplicative renormalization program for the massive gluon fields. This has been done within the previously formulated the mass gap approach to QCD. It is based on a new insights into its ground state true…

High Energy Physics - Phenomenology · Physics 2026-05-22 V. Gogokhia , G. G. Barnafoldi

Recent progress in understanding the emergence of confinement and other nonperturbative effects in the strong interaction vacuum is reviewed. Special emphasis is placed on the role of different types of collective infrared gluonic degrees…

High Energy Physics - Lattice · Physics 2009-11-10 Michael Engelhardt

We discuss the different methods to obtain reliable informations about the deep infra-red behaviour of the gluon and ghost Green functions in QCD. We argue that a clever combination of analytical inputs and numerical ones is necessary. We…

High Energy Physics - Phenomenology · Physics 2011-07-14 O. Pène , Ph. Boucaud , J. P. Leroy , A. Le Yaouanc , J. Micheli , J. Rodríguez-Quintero

The lattice three-gluon vertex in the Landau gauge is revisited using a large physical volume $\sim(8\textrm{fm})^4$ and a large statistical ensemble. The improved calculation explores the symmetries of the hypercubic lattice to reduce the…

High Energy Physics - Lattice · Physics 2021-11-12 Guilherme T. R. Catumba , Orlando Oliveira , Paulo J. Silva

Assuming that center vortices are the confining gauge field configurations, we argue that in gauges that are sensitive to the confining center vortex degrees of freedom, and where the latter lie on the Gribov horizon, the corresponding…

High Energy Physics - Theory · Physics 2007-05-23 H. Reinhardt

Three pomerons are known to couple via the gluon loop and interactions of this kind which are responsible for high-mass diffraction are described in terms of the gluonic structure function of the QCD pomeron. We show that the triple-pomeron…

High Energy Physics - Phenomenology · Physics 2009-11-10 V. R. Zoller

We argue that all evidences point towards a finite non-vanishing zero momentum renormalised lattice gluon propagator in the infinite volume limit. We argue that different simulations with different lattice setups end-up with fairly…

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

This PhD dissertation is devoted to a non-perturbative study of QCD correlators. The main tool that we use is lattice QCD. We concentrated our efforts on the study of the main correlators of the pure Yang - Mills theory in the Landau gauge,…

High Energy Physics - Lattice · Physics 2007-05-23 A. Y. Lokhov

Gluon amplitudes at most-subleading order in the $1/N$ expansion share a remarkable simplicity with graviton amplitudes: collinear divergences are completely absent in both and, as a consequence, their full IR behavior arises from soft…

High Energy Physics - Theory · Physics 2022-02-09 Horatiu Nastase , Francisco Rojas , Carlos Rubio

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

A numerical study of the ghost Dyson-Schwinger equation in Coulomb gauge is performed and solutions for the ghost propagator found. As input, lattice results for the spatial gluon propagator are used. It is shown that in order to solve…

High Energy Physics - Theory · Physics 2010-12-24 Peter Watson , Hugo Reinhardt

In a previous paper we have shown that in quantum chromodynamics the gluon propagator vanishes in the infrared limit, while the ghost propagator is more singular than a simple pole. These results were obtained after angular averaging, but…

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

The influence of nonperturbative fields on instantons in quantum chromodynamics is studied. Nonperturbative vacuum is described in terms of nonlocal gauge invariant vacuum averages of gluon field strength.Effective action for instanton is…

High Energy Physics - Phenomenology · Physics 2015-06-25 Nikita O. Agasian , Sergei M. Fedorov

We report on our independent investigations of the puzzle of cosmological perturbations in extended quasidilaton. We confirm the claims of presence of the Boulware-Deser ghost. We use both the language of cosmological perturbations with…

General Relativity and Quantum Cosmology · Physics 2017-11-29 Alexey Golovnev , Aleksandr Trukhin

We estimate the running coupling constant of the strong interactions within the nonperturbative framework of lattice QCD in Landau gauge. Our calculation is based on the ghost-gluon vertex which in the particular case of Landau gauge allows…

High Energy Physics - Lattice · Physics 2010-03-04 A. Sternbeck , E. -M. Ilgenfritz , K. Maltman , M. Müller-Preussker , L. von Smekal , A. G. Williams

The compatibility of the pure power law infrared solution of QCD and lattice data for the gluon and ghost propagators in Landau gauge is discussed. For the gluon propagator, the lattice data is well described by a pure power law with an…

High Energy Physics - Lattice · Physics 2009-08-05 O. Oliveira , P. J. Silva

A recent form of the Slavnov-Taylor identity for the ghost-gluon vertex of QCD is compared with perturbative results. It is found that this identity, derived assuming ghost-ghost scattering can be neglected, is not consistent with…

High Energy Physics - Phenomenology · Physics 2007-05-23 Peter Watson

Recent investigations of the Dyson-Schwinger equations and Monte-Carlo lattice calculations resulted in a coherent description of the fully dressed gluon, ghost and quark propagators in Landau gauge QCD. In the Dyson-Schwinger approach the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Alkofer , C. S. Fischer

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