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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. We describe the solution to the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Andreas Hauck , Lorenz von Smekal , Reinhard Alkofer

Lattice-based investigations of two fundamental QCD quantities are described, namely the gluon and quark propagators in Landau gauge. We have studied the Landau gauge gluon propagator using a variety of lattices with spacings from a = 0.17…

High Energy Physics - Phenomenology · Physics 2017-08-23 Anthony G. Williams , Frederic D. R. Bonnet , Patrick O. Bowman , Derek B. Leinweber , Jon Ivar Skullerud , James M. Zanotti

We briefly discuss some results obtained recently about dynamical gluon mass generation. We comment that this mass provides a natural QCD infrared cutoff and also implies an infrared finite coupling constant. We also discuss the…

High Energy Physics - Phenomenology · Physics 2023-08-09 A. A. Natale

The infrared behaviour of the medium modified gluon propagator in non-equilibrium situations is studied in the covariant gauge using the Schwinger-Keldysh closed-time path formalism. It is shown that the magnetic screening mass is non-zero…

High Energy Physics - Phenomenology · Physics 2009-11-07 Fred Cooper , Chung-Wen Kao , Gouranga C. Nayak

In Landau gauge QCD the infrared behavior of the propagator of transverse gluons can be analytically determined to be a power law from Dyson-Schwinger equations. This propagator clearly shows positivity violation, indicating the absence of…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alkofer , W. Detmold , C. S. Fischer , P. Maris

The generation of a momentum-dependent gluon mass proceeds through a sophisticated implementation, at the level of the Schwinger-Dyson equation for the gluon propagator, of the Schwinger mechanism, whose central dynamical ingredient is the…

High Energy Physics - Phenomenology · Physics 2011-12-02 Joannis Papavassiliou

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

We have formulated new quantum model of the QCD vacuum using the effective potential approach for composite operators. It is based on the existence and importance of such kind of the nonperturbative, topologically nontrivial excitations of…

High Energy Physics - Phenomenology · Physics 2011-08-17 V. Gogohia

We present a novel implementation of the Schwinger mechanism in QCD, which fixes uniquely the scale of the effective gluon mass and streamlines considerably the procedure of multiplicative renormalization. The key advantage of this method…

High Energy Physics - Phenomenology · Physics 2024-07-08 M. N. Ferreira , J. Papavassiliou

We measured the gluon propagator in the Landau gauge fixed QCD Langevin simulation and studied the infra-red behaviour of the gluon propagator. The 4^3 x 8 lattice simulation was done for quenched $\beta=3,4,5$ and unquenched $\beta=4,…

High Energy Physics - Lattice · Physics 2007-05-23 H. Nakajima , S. Furui

We calculate the damping rate $\gamma_l$ for longitudinal gluons with zero momentum in finite high temperature QCD and show that some of its contributing terms are infrared divergent. This is in contrast with the expectation that this…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. Abada , O. Azi , K. Benchallal

A "natural" model for the QCD invariant (running) coupling, free of the IR singularity, is proposed. It is based upon the hypothesis of finite gluon mass $ m_{gl}$ existence and, technically, uses an accurate treating of threshold behavior…

High Energy Physics - Phenomenology · Physics 2014-11-17 D. V. Shirkov

The screened massive expansion of full QCD is used in conjunction with a model for infrared quark masses to compute the Landau-gauge gluon propagator at finite temperature and baryonic density. Analytic expressions up to a one-dimensional…

High Energy Physics - Theory · Physics 2025-03-14 Giorgio Comitini , Fabio Siringo

We study the gluon propagator $D_{\mu\nu}^{ab}(x)$ in the Landau gauge in SU(3) lattice QCD at $\beta$ = 5.7, 5.8, and 6.0 at the quenched level. The effective gluon mass is estimated as $400 \sim 600$MeV for $r \equiv (x_\alpha…

High Energy Physics - Lattice · Physics 2009-12-18 Takumi Iritani , Hideo Suganuma , Hideaki Iida

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

We explore the analytic structure of the gluon and quark propagators of Landau gauge QCD from numerical solutions of the coupled system of renormalized Dyson--Schwinger equations and from fits to lattice data. We find sizable negative norm…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alkofer , W. Detmold , C. S. Fischer , P. Maris

We present approximate non-perturbative solutions for the propagators as well as the running coupling of QCD from a coupled system of renormalised, truncated Dyson--Schwinger equations. We employ ansaetze for the dressed vertices such that…

High Energy Physics - Phenomenology · Physics 2009-09-29 Christian S. Fischer

We discuss some phenomenological applications of an infrared finite gluon propagator characterized by a dynamically generated gluon mass. In particular we compute the effect of the dynamical gluon mass on $pp$ and ${\bar{p}}p$ diffractive…

High Energy Physics - Phenomenology · Physics 2011-08-04 E. G. S. Luna

From the operator product expansion the gluon condensate controls a certain power law correction to the ultraviolet behavior of the gauge theory. This is reflected by the asymptotic behavior of the effective gluon mass function as…

High Energy Physics - Phenomenology · Physics 2014-05-21 B. Holdom

The phenomena of strong running coupling and hadron mass generating have been studied in the framework of a QCD-inspired relativistic model of quark-gluon interaction with infrared confined propagators. We derived a meson mass equation and…

High Energy Physics - Phenomenology · Physics 2017-12-18 Gurjav Ganbold