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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

We propose to realize a mass gap in QCD by not imposing the transversality condition on the full gluon self-energy, while preserving the color gauge invariance condition for the full gluon propagator. This is justified by the nonlinear and…

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

The GLR-MQ equation is a nonlinear evolution equation that takes into account the shadowing effect, which tames the growth of the gluon at small-$x$. In this study, we analytically solve for the first time the nonlinear GLR-MQ equation…

High Energy Physics - Phenomenology · Physics 2024-01-30 Yanbing Cai , Xiaopeng Wang , Xurong Chen

We have explicitly shown that the infrared structure of the full gluon propagator in QCD is an infite sum over all severe (i.e., more singular than $1/q^2$) infrared singularities. It reflects the zero momentum modes enhancement effect in…

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

We apply a previously developed scheme to consistently include the improved saturation model for the unintegrated gluon distribution (UGD) in order to evaluate, in the framework of $k_{t}$ factorization, at small $x$ at the next-to-leading…

High Energy Physics - Phenomenology · Physics 2023-08-29 G. R. Boroun

The gauge-invariant three-gluon vertex obtained from the pinch technique is characterized by thirteen nonzero form factors, which are given in complete generality for unbroken gauge theory at one loop. The results are given in $d$…

High Energy Physics - Phenomenology · Physics 2009-09-11 Michael Binger , Stanley J. Brodsky

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

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 framework of a generalized iterative scheme introduced previously to account for the non-analytic coupling dependence associated with the renormalization-group invariant mass scale Lambda, we establish the self-consistency equations…

High Energy Physics - Theory · Physics 2009-10-31 L. Driesen , J. Fromm , J. Kuhrs , M. Stingl

The four-gluon one-particle irreducible Green function contributes to various quantities with phenomenological relevance. An example where the four-gluon plays a role is the determination of the gluon propagator, a basic building block for…

High Energy Physics - Lattice · Physics 2025-01-31 Manuel Colaço , Orlando Oliveira , Paulo J. Silva

In this paper we test an approximate method that is often used in lattice studies of the Landau gauge three-gluon vertex. The approximation consists in describing the lattice correlator with tensor bases from the continuum theory. With the…

High Energy Physics - Lattice · Physics 2019-02-13 Milan Vujinovic , Tereza Mendes

It has been suggested recently to study the dynamics of a gravitating gluon condensate q in the context of a spatially flat Friedmann-Robertson-Walker universe. The expansion of the Universe (or, more generally, the presence of a…

General Relativity and Quantum Cosmology · Physics 2010-04-06 F. R. Klinkhamer

In pure-glue QCD, gluon-gluon scattering in the $J^{PC}=0^{-+}$ channel is described by a very simple equation, especially if one considers just the leading contribution to the scattering kernel. Of all components in this kernel, only the…

Nuclear Theory · Physics 2020-02-19 E. V. Souza , M. N. Ferreira , A. C. Aguilar , J. Papavassiliou , C. D. Roberts , S. -S. Xu

We study the gluon propagator and the singlet potential in Landau gauge in the deconfined phase of SU(2) lattice gauge theory, using both the standard Wilson action and a tree-level Symanzik improved action. From the long-distance behavior…

High Energy Physics - Lattice · Physics 2009-10-30 U. M. Heller , F. Karsch , J. Rank

In this work, we perform a comparison of the employ of distinct gluon propagators with the experimental data in diffractive processes, $pp$ elastic scattering and light meson photo-production. The gluon propagators are calculated through…

High Energy Physics - Phenomenology · Physics 2009-11-11 M. B. Gay Ducati , W. K. Sauter

In the framework of renormalon consideration, a role of the anomalous dependence of gluon propagator on the scale $\mu$ is shown for a large number of quark flavours as well as in the nonabelian theory, where the parameter of the "running"…

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

The gluon propagator in Landau gauge is calculated in quenched QCD on a large (32^3X64) lattice at beta=6.0. In order to assess finite volume and finite lattice spacing artefacts, we also calculate the propagator on a smaller volume for two…

High Energy Physics - Lattice · Physics 2007-05-23 D. B. Leinweber , J. I. Skullerud , A. G. Williams

The nonlinear boson diffusion equation is taken as a basis to account for the fast thermalization of gluons in the initial stages of relativistic heavy-ion collisions. For constant drift and diffusion coefficients with schematic initial…

High Energy Physics - Phenomenology · Physics 2025-11-25 J. Rössler , G. Wolschin

We investigate the recently proposed nonlinear equation for the unintegrated gluon distribution function which includes the subleading effects at small $x$. We obtained numerically the solution to this equation in $(x,k)$ space, and also…

High Energy Physics - Phenomenology · Physics 2008-11-26 K. Kutak , A. M. Stasto

The shapes of the inclusive photon spectra in the processes $\Jp \to \gamma X$ and $\Up \to \gamma X$ have been analysed using all available experimental data. Relativistic, higher order QCD and gluon mass corrections were taken into…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. H. Field
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