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In this article we derive the integral equation that controls the momentum dependence of the effective gluon mass in the Landau gauge. This is accomplished by means of a well-defined separation of the corresponding "one-loop dressed"…

High Energy Physics - Phenomenology · Physics 2013-05-29 A. C. Aguilar , D. Binosi , J. Papavassiliou

The lowest scalar and pseudoscalar glueball masses are evaluated by means of the time-dependent variational approach to the Yang-Mills gauge theory without fermions in the Hamiltonian formalism within a Gaussian wavefunctional…

High Energy Physics - Phenomenology · Physics 2012-09-03 Y. Tsue

We investigate gluon propagators and the effective mass of the gluon fields in the MA gauge with U(1)$_3 \times$ U(1)$_8$ Landau gauge fixing in SU(3) lattice QCD. The Monte Carlo simulation is performed on $16^4$ at $\beta$=5.7, 5.8 and…

High Energy Physics - Lattice · Physics 2013-01-15 Shinya Gongyo , Hideo Suganuma , Takumi Iritani

I propose that the properties of QCD perturbation theory should be investigated when the boundary state (`perturbative vacuum') at $t= \pm\infty$ includes gluons. Any boundary state that has an overlap with the true QCD ground state…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paul Hoyer

We extend a known mass-gap equation for pure gluodynamics in global colour models (formulated in equal time quantization in Coulomb gauge) to one in which gluons split into two sets which may have different masses. If the theory is…

High Energy Physics - Phenomenology · Physics 2025-05-30 Julia Gómez Concejo , Felipe J. Llanes-Estrada , Diego María-Almazán , Alexandre Salas-Bernárdez

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 compute gluon and quark propagators in 2-colour QCD at large baryon chemical potential mu. The gluon propagator is found to be antiscreened in the superfluid, confined phase and screened in the large-mu, deconfined phase. We present the…

High Energy Physics - Lattice · Physics 2014-11-20 Jon-Ivar Skullerud

We investigate solutions to a nonlinear integral equation which has a central role in implementing the non-Abelian Gauss's Law and in constructing gauge-invariant quark and gluon fields. Here we concern ourselves with solutions to this same…

High Energy Physics - Theory · Physics 2009-10-31 Kurt Haller , Lusheng Chen , Y. S. Choi

We study the non-perturbative behavior of two versions of the QCD effective charge, one obtained from the pinch technique gluon self-energy, and one from the ghost-gluon vertex. Despite their distinct theoretical origin, due to a…

High Energy Physics - Phenomenology · Physics 2009-10-29 A. C. Aguilar , D. Binosi , J. Papavassiliou , J. Rodriguez-Quintero

A low energy effective field theory model for QCD with a scalar color octet field is discussed. The model relates the gluon mass, the constituent quark masses and the quark condensate. The gluon mass comes about $\sqrt{N_c}\, \Lambda_{QCD}$…

High Energy Physics - Phenomenology · Physics 2011-05-27 O. Oliveira , W. de Paula , T. Frederico

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 quark-gluon vertex in Landau gauge QCD is investigated in the Dyson-Schwinger approach. The aim is to obtain a fully self-consistent solution of the quark propagator and the quark-gluon vertex Dyson-Schwinger equation (DSE) in the…

High Energy Physics - Phenomenology · Physics 2012-11-01 Andreas Windisch , Markus Hopfer , Reinhard Alkofer

The medium-induced one-gluon radiation spectrum off a massive quark-antiquark ($q {\bar q}$) antenna traversing a colored QCD medium is calculated in this contribution. The gluon spectrum off the antenna computed at first order in the…

High Energy Physics - Phenomenology · Physics 2015-05-28 Néstor Armesto , Hao Ma , Yacine Mehtar-Tani , Carlos A. Salgado , Konrad Tywoniuk

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

We study the gluon propagator in the Landau gauge in SU(3) lattice QCD at $\beta$=5.7, 5.8 and 6.0 at the quenched level. The Euclidean Landau-gauge gluon propagator $D(r)\equiv D_{\mu\mu}^{aa}(x)/24$ is found to be well described by…

High Energy Physics - Lattice · Physics 2011-03-31 Hideo Suganuma , Takumi Iritani , Arata Yamamoto , Hideaki Iida

We discuss how to implement the source terms in Quantum Chromodynamics (QCD) respecting gauge invariance and noncommutativity of color charge density operators. We start with decomposing the generating functional of QCD into constituents…

High Energy Physics - Phenomenology · Physics 2009-11-11 Kenji Fukushima

Lattice simulations of the QCD correlation functions in the Landau gauge have established two remarkable facts. First, the coupling constant in the gauge sector remains finite and moderate at all scales, suggesting that some kind of…

High Energy Physics - Theory · Physics 2021-12-22 Marcela Peláez , Urko Reinosa , Julien Serreau , Matthieu Tissier , Nicolás Wschebor

The infrared limit of the lattice Landau gauge gluon propagator is studied. We show that the lattice data is compatible with the pure power law $(q^2)^{2 \kappa}$ solution of the Dyson-Schwinger equations. Using various lattice volumes, the…

High Energy Physics - Lattice · Physics 2009-11-11 P. J. Silva , O. Oliveira

We present a new truncation scheme for the Schwinger-Dyson equations of QCD that respects gauge invariance at any level of the dressed loop expansion. When applied to the gluon self-energy, it allows for its non-perturbative treatment…

High Energy Physics - Phenomenology · Physics 2008-11-26 Daniele Binosi , Joannis Papavassiliou

Two-quark--two-antiquark systems with four different quark flavors are considered in the framework of two-dimensional QCD, in the light-cone gauge, at leading orders of the $1/N_c^{}$ expansion. Introducing basis functions with…

High Energy Physics - Phenomenology · Physics 2025-09-22 Hagop Sazdjian