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We obtain the QCD quark condensate from consideration of unquenched quark dynamics in Dyson-Schwinger gluon vacuum. We consider the non-local extension of the condensate and determine the quark virtuality. We also obtain the…

High Energy Physics - Phenomenology · Physics 2009-12-12 A. V. Zayakin , V. Khandramai , J. Rafelski

After presenting a brief summary of functional approaches to QCD at vanishing temperatures and densities the application of QCD Green's functions at non-vanishing temperature and vanishing density is discussed. It is pointed out in which…

High Energy Physics - Phenomenology · Physics 2015-03-17 Reinhard Alkofer , Mario Mitter , Bernd-Jochen Schaefer

A conformal invariant QED-inspired model is solved for a general covariant linear gauge using the Dyson-Schwinger equations for the propagators assuming a pure vector like interaction. The leading corrections to the asymptotic solutions and…

High Energy Physics - Theory · Physics 2024-08-27 O Oliveira , T Frederico , W de Paula

The effect of transverse gluons on the chiral symmetry patterns of excited mesons is studied in a Coulomb gauge QCD model. The linear rising static quark-antiquark potential and the transverse gluon propagator known from lattice studies are…

High Energy Physics - Phenomenology · Physics 2014-03-11 M. Pak , L. Ya. Glozman

Perturbative QCD in the small Bjorken $x$ limit can be formulated as an effective theory known as the Color Glass Condensate (CGC) formalism. The CGC formalism takes into account the dynamics of large gluon densities at small $x$ and has…

High Energy Physics - Phenomenology · Physics 2017-10-25 Jamal Jalilian-Marian

We construct and solve the Dyson-Schwinger equation (DSE) of quark propagator with a parameterized metric, which connects the Euclidean metric with the Minkowskian one. We show, in some models, the Minkowskian vacuum is different from the…

High Energy Physics - Phenomenology · Physics 2011-10-18 Wei Yuan , Si-xue Qin , Huan Chen , Yu-xin Liu

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. A closed set of coupled…

High Energy Physics - Phenomenology · Physics 2009-10-31 Andreas Hauck , Lorenz von Smekal , Reinhard Alkofer

In view of the properties of mesons in hot strongly interacting matter the properties of the solutions of the truncated Dyson-Schwinger equation for the quark propagator at finite temperatures within the rainbow-ladder approximation are…

Nuclear Theory · Physics 2016-12-21 S. M. Dorkin , M. Viebach , L. P. Kaptari , B. Kampfer

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 development of a Modified Perturbation Theory for QCD, introduced in previous works, is continued. The gluon propagator is modified as consequence of a soft gluon pairs condensate in the vacuum. The modified Feynman rules for $\alpha=1$…

High Energy Physics - Phenomenology · Physics 2007-05-23 Marcos Rigol

We revisit our recently proposed formalism for dealing with the heavy quark limit of the quark Dyson-Schwinger equation. An ambiguity inherent in the original version of method is identified and resolved. Our reanalysis illustrates the…

High Energy Physics - Phenomenology · Physics 2016-08-25 C. J. Burden

A calculation of the thermal quark propagator is presented taking the gluon condensate above the critical temperature into account. The quark dispersion relation following from this propagator is derived.

High Energy Physics - Phenomenology · Physics 2007-05-23 Andreas Schaefer , Markus H. Thoma

The infrared behavior of the quark-gluon vertex of quenched Landau gauge QCD is studied by analyzing its Dyson-Schwinger equation. Building on previously obtained results for Green functions in the Yang-Mills sector we analytically derive…

High Energy Physics - Phenomenology · Physics 2009-11-13 Reinhard Alkofer , Christian S. Fischer , Felipe J. Llanes-Estrada , Kai Schwenzer

We review results for the phase diagram of QCD, the properties of quarks and gluons and the resulting properties of strongly interacting matter at finite temperature and chemical potential. The interplay of two different but related…

High Energy Physics - Phenomenology · Physics 2019-03-27 Christian S. Fischer

Some features of the solutions to the truncated Dyson-Schwinger equations(DSEs) for the propagators of QCD in Landau gauge are summarized. In particular, the Kugo-Ojima confinement criterion is realized, and positivity of transverse gluons…

High Energy Physics - Phenomenology · Physics 2009-10-31 Reinhard Alkofer , Lorenz von Smekal

Dyson--Schwinger equations are an established, powerful non-perturbative tool for QCD. In the Hamiltonian formulation of a quantum field theory they can be used to perform variational calculations with non-Gaussian wave functionals. By…

High Energy Physics - Theory · Physics 2017-04-05 Davide R. Campagnari , Hugo Reinhardt , Markus Q. Huber , Peter Vastag , Ehsan Ebadati

We present analytical and numerical results for the Dirac form factor of the quark-gluon vertex in the quark symmetric limit, where the incoming and outgoing quark momenta have the same magnitude but opposite sign. To accomplish this, we…

High Energy Physics - Phenomenology · Physics 2013-01-18 A. C. Aguilar , D. Binosi , J. C. Cardona , J. Papavassiliou

The Landau gauge Schwinger-Dyson Equation for the quark self-energy is solved in the quenched ladder approximation for several cases of one- and two-quark-generations. The exchanges of Standard Model gluons and Higgs bosons are taken into…

High Energy Physics - Phenomenology · Physics 2011-07-19 Lesley L. Smith , Pankaj Jain , Douglas W. McKay

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

Recent progress in the solution of Schwinger-Dyson equations (SDE), as well as lattice simulation of pure glue QCD, indicate that the gluon propagator and coupling constant are infrared (IR) finite. We discuss how this non-perturbative…

High Energy Physics - Phenomenology · Physics 2011-07-14 A. A. Natale