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We survey contemporary studies of hadrons and strongly interacting quarks using QCD's Dyson-Schwinger equations, addressing: aspects of confinement and dynamical chiral symmetry breaking; the hadron spectrum; hadron elastic and transition…

The early idea that a non-perturbative gluon condensate affects the spectrum of heavy quarks is revisited in the light of modern simulation techniques. We evaluate the low lying spectrum of bound states of two heavy quarks for large…

High Energy Physics - Lattice · Physics 2009-10-31 Jochen Fingberg

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

We evaluate the quark-photon vertex non-perturbatively taking into account the gluon condensate at finite temperature. This vertex is related to the previously derived effective quark propagator by a QED like Ward-Takahashi identity. The…

High Energy Physics - Phenomenology · Physics 2011-07-19 M. G. Mustafa , A. Schaefer , M. H. Thoma

A symmetry preserving framework for the study of continuum Quantum Chromodynamics (QCD) is obtained from a truncated solution of the QCD equations of motion or QCD's Dyson-Schwinger equations (DSEs). A nonperturbative solution of the DSEs…

Nuclear Theory · Physics 2016-09-21 Jorge Segovia

A calculation of thermal gluon decay shows that this process contributes significantly to strangeness production in a quark-gluon plasma. Our analysis does not support recent claims that this is the dominant process. In our calculations we…

High Energy Physics - Phenomenology · Physics 2009-09-25 N. Bilić , J. Cleymans , I. Dadić , D. Hislop

We study the effect of gluon number fluctuations (Pomeron loops) on deep inelastic scattering (DIS) in the fixed coupling case. We find that the description of the DIS data is improved once gluon number fluctuations are included. Also the…

High Energy Physics - Phenomenology · Physics 2009-11-13 Misha Kozlov , Arif Shoshi , Wenchang Xiang

Phenomenological consequences of the infrared singular, instantaneous part of the gluon propagator in Coulomb gauge are investigated. The corresponding quark Dyson-Schwinger equation is solved, neglecting retardation and transverse gluons…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Alkofer , M. Kloker , A. Krassnigg , R. F. Wagenbrunn

We study both regular (the zero-momentum ghost dressing function not diverging), also named decoupling, and critical (diverging), also named scaling, Yang-Mills propagators solutions by analyzing the low-momentum behaviour of the ghost…

High Energy Physics - Phenomenology · Physics 2011-04-20 José Rodríguez-Quintero

There have been many demonstrations of the utility of the Dyson-Schwinger equations of QCD as a systematic, phenomenological framework for describing the perturbative and non-perturbative dynamics of hadrons in terms of Euclidean Green…

Nuclear Theory · Physics 2017-08-23 M. A. Pichowsky

We propose a system of evolution equations that describe in-medium time-evolution of transverse-momentum-dependent quark and gluon fragmentation functions. Furthermore, we solve this system of equations using Monte Carlo methods. We then…

High Energy Physics - Phenomenology · Physics 2022-06-07 E. Blanco , K. Kutak , W. Placzek , M. Rohrmoser , K. Tywoniuk

We introduce a nonperturbative interaction for light-cone fluctuations containing quarks and gluons. The $\bar qq$ interaction squeezes the transverse size of these fluctuations in the photon and one does not need to simulate this effect…

High Energy Physics - Phenomenology · Physics 2011-05-05 B. Z. Kopeliovich , A. Schaefer , A. V. Tarasov

The Kugo-Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators in Landau gauge QCD are reviewed. The realization of this confinement criterion (which in Landau gauge relates to Zwanziger's…

High Energy Physics - Phenomenology · Physics 2017-08-23 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

The renormalised quark Dyson-Schwinger equation is studied in the limit of the renormalised current heavy quark mass m_R --> infinity. We are particularly interested in the analytic pole structure of the heavy quark propagator in the…

High Energy Physics - Phenomenology · Physics 2009-10-30 C. J. Burden

We study the Landau gauge gluon propagators in dense two-color QCD at quark chemical potential, $\mu_q$, in the range from 0.5 to 1.0 GeV not reachable by the perturbative method at weak coupling. In order to take into account the…

High Energy Physics - Phenomenology · Physics 2019-10-30 Daiki Suenaga , Toru Kojo

The real-world properties of quantum chromodynamics (QCD) - the strongly-interacting piece of the Standard Model - are dominated by two emergent phenomena: confinement; namely, the theory's elementary degrees-of-freedom - quarks and gluons…

Nuclear Theory · Physics 2012-03-27 Craig D. Roberts

We calculate the three-point functions of pure Landau gauge QCD and investigate their influence on the propagators. As expected, the ghost-gluon vertex leads only to minor modifications, while the three-gluon vertex has a sizeable impact on…

High Energy Physics - Phenomenology · Physics 2014-01-22 Markus Q. Huber , Adrian Lorenz Blum , Mario Mitter , Lorenz von Smekal

A non-perturbative version of the BRST quartet mechanism in infrared Landau gauge QCD is proposed for transverse gluons and quarks. Based on the positivity violation for transverse gluons the content of the respective non-perturbative BRST…

High Energy Physics - Theory · Physics 2012-01-05 Natalia Alkofer , Reinhard Alkofer

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

We include a generalized infinite class of quark-gluon vertex dressing diagrams in a study of how dynamics beyond the ladder-rainbow truncation influences the Bethe-Salpeter description of light quark pseudoscalar and vector mesons. The…

Nuclear Theory · Physics 2008-11-26 Hrayr H. Matevosyan , Anthony W. Thomas , Peter C. Tandy