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I review some key aspects of the ongoing progress in our understanding of the infrared dynamics of the QCD Green's functions, derived from the close synergy between Schwinger-Dyson equations and lattice simulations. Particular attention is…

High Energy Physics - Phenomenology · Physics 2015-09-02 J. Papavassiliou

The model for constituent glue is presented starting from the perturbation theory in nonperturbative QCD vacuum. Green function is constructed for a system containing qqbar pair and gluon propagating in the vacuum background field, and…

High Energy Physics - Phenomenology · Physics 2009-10-28 Yu. S. Kalashnikova , Yu. B. Yufryakov

The spectrum of coherent gluon radiation from a quark-anti-quark pair experiencing multiple scatterings within a coloured medium is central for understanding in-medium parton cascades. Despite its foundational importance, current results…

Lattice QCD studies of the thermodynamics of the hot quark-gluon plasma (QGP) demonstrate the importance of accounting for the interactions of quarks and gluons, if one wants to investigate the phase structure of strongly interacting…

Nuclear Theory · Physics 2014-02-27 Eduardo S. Fraga , Aleksi Kurkela , Aleksi Vuorinen

We solve for the light-front wave functions of the nucleon from a light-front quantum chromodynamics (QCD) effective Hamiltonian with three-dimensional confinement. We obtain solutions using constituent three quarks combined with three…

High Energy Physics - Phenomenology · Physics 2024-06-25 Siqi Xu , Chandan Mondal , Xingbo Zhao , Yang Li , James P. Vary

We review some recent developments in nonperturbative studies of quantum field theory (QFT) using the Schwinger-Dyson equations formulated directly in Minkowski space. We begin with the introduction of essential ideas of the integral…

High Energy Physics - Phenomenology · Physics 2011-07-19 Vladimir Sauli

Viscous hydrodynamics serves as a successful mesoscopic description of the Quark-Gluon Plasma produced in relativistic heavy-ion collisions. In order to investigate, how such an effective description emerges from the underlying microscopic…

High Energy Physics - Theory · Physics 2023-11-16 Stephan Ochsenfeld , Sören Schlichting

We exhibit the method for obtaining non perturbative quark and gluonic vacuum condensates from a model truncation of QCD. The truncation allows for a phenomenological description of the quark-quark interaction in a framework which maintains…

High Energy Physics - Phenomenology · Physics 2009-10-30 Thomas Meissner

Fluidity of quark-gluon plasma (QGP) is studied where interaction between quark and gluon is mapped through fugacity in particle distribution function using lattice quantum chromodynamics (LQCD) results.

High Energy Physics - Phenomenology · Physics 2020-01-17 Souvik Paul , Ankita Mishra , Jayanta Dey , Sarthak Satapathy , Sabyasachi Ghosh

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 derive the kinetic equation for pure gluon QCD plasma in a general way, applying the background field method. We show that the quantum kinetic equation contains a term as in the classical case, that describes a color charge precession of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Qun Wang , Krzysztof Redlich , Horst Stöcker , Walter Greiner

We review aspects of confinement in the covariant and local description of QCD and discuss to what extend our present knowledge of the infrared behavior of QCD Green functions can support this description. In particular, we emphasize: the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Lorenz von Smekal , Reinhard Alkofer

Important information about the infrared dynamics of QCD is encoded in the behavior of its (of-shell) Green's functions, most notably the gluon and the ghost propagators. Due to recent improvements in the quality of lattice data and the…

High Energy Physics - Phenomenology · Physics 2011-02-01 Daniele Binosi

We investigate quantum chromodynamics with two colors at nonvanishing density using Dyson-Schwinger equations. Lattice methods do not have a complex action problem in this theory. Thus, we can benchmark our results and the effect of…

High Energy Physics - Phenomenology · Physics 2020-01-29 Romain Contant , Markus Q. Huber

The flow-equation method of continuous unitary transformations is used to eliminate the minimal quark-gluon interaction in the light-front quantized QCD Hamiltonian. The coupled differential equations in the two lowest Fock sectors…

High Energy Physics - Phenomenology · Physics 2009-10-31 Elena Gubankova , Chueng-Ryong Ji , Stephen R. Cotanch

This is a review of numerical applications of classical gluodynamics to heavy ion collisions. We recall some results from calculations of gluon production, discuss their implications for heavy ion phenomenology, and outline a strategy to…

High Energy Physics - Phenomenology · Physics 2017-08-23 T. Lappi

Using an exact integrodifferential equation we study the properties of the gauge invariant quark Green's function, defined with a path-ordered gluon field phase factor along a straight line, in two-dimensional QCD in the large-N_c limit.…

High Energy Physics - Phenomenology · Physics 2011-02-11 H. Sazdjian

We study the pairwise interaction of reggeized gluons and quarks in the Regge limit of perturbative QCD. The interactions are represented as integral kernels in the transverse momentum space and as operators in the impact parameter space.…

High Energy Physics - Theory · Physics 2009-10-28 R. Kirschner

New equations are derived for meson and baryon Green's functions in a systematic method using the QCD Lagrangian and large N_c approximation as a starting point. The equations are shown to contain both confinement dynamics and chiral…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu. A. Simonov

In the deconfinement phase of QCD quarks and gluons interact with the dense stochastic colour-magnetic vacuum. We consider the dynamics of quarks in this deconfinement phase using the Field Correlators Method and derive an effective…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. V. Nefediev , Yu. A. Simonov