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The quasi-probabilistic Wigner distributions are the quantum mechanical analog of the classical phase-space distributions. We investigate quark Wigner distributions for a quark state dressed with a gluon, which can be thought of as a simple…

High Energy Physics - Phenomenology · Physics 2017-05-09 Jai More , Asmita Mukherjee , Sreeraj Nair

Using the previously derived confining gluon propagator, the corresponding system of equations determining the quark propagator is derived. The system of equations consists of the Schwinger-Dyson equation for the quark propagator itself,…

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

Recently the quark-gluon vertex has been investigated in Landau gauge using a combined Dyson-Schwinger and nPI effective action approach. We present here a numerical analysis of a simpler system where the quarks have been replaced by…

High Energy Physics - Phenomenology · Physics 2013-04-17 Markus Hopfer , Reinhard Alkofer

We investigate quark Wigner distributions in a light-cone spectator model. Both the scalar and the axial-vector spectators are included. The light-cone wave functions are derived from effective quark-spectator-nucleon vertex and then…

High Energy Physics - Phenomenology · Physics 2014-07-01 Tianbo Liu

In this work, we investigate how the details of the quark-gluon interaction vertex affect the quantitative description of chiral symmetry breaking through the gap equation for quarks. We start from two gluon propagator models widely used in…

Nuclear Theory · Physics 2023-10-16 M. Atif Sultan , Khépani Raya , Faisal Akram , Adnan Bashir , Bilal Masud

The Dyson-Schwinger quark equation is solved for the quark-gluon vertex using the most recent lattice data available in the Landau gauge for the quark, gluon and ghost propagators, the full set of longitudinal tensor structures in the…

High Energy Physics - Phenomenology · Physics 2019-02-20 O. Oliveira , W. de Paula , T. Frederico , J. P. B. C de Melo

We present first results for the hadronic light-by-light scattering contribution to the anomalous magnetic moment of the muon a_{\mu} in the framework of Dyson-Schwinger and Bethe-Salpeter equations. We determine the quark loop and…

High Energy Physics - Phenomenology · Physics 2011-06-13 Christian S. Fischer , Tobias Goecke , Richard Williams

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

We investigate the impact of unquenching effects on QCD Green's functions, in the form of quark-loop contributions to both the gluon propagator and three-gluon vertex, in a three-loop inspired truncation of the three-particle irreducible…

High Energy Physics - Phenomenology · Physics 2016-02-24 Richard Williams , Christian S. Fischer , Walter Heupel

We investigate the phases of dense QCD matter at finite temperature with Dyson-Schwinger equations for the quark propagator for N_f=2+1 flavors. For the gluon propagator we take a fit to quenched lattice data and add quark-loop effects…

High Energy Physics - Phenomenology · Physics 2013-07-30 Daniel Müller , Michael Buballa , Jochen Wambach

We present a recent calculation of the Wigner distributions of quarks and gluons in a perturbative model. We also present the results for the orbital angular momentum and the spin-orbit correlations.

High Energy Physics - Phenomenology · Physics 2015-11-11 Asmita Mukherjee

We study the Dyson-Schwinger equation for the quark propagator in Minkowski space. In order to have analytical behaviour at the timelike axis of momenta under control, we use the Stieltjes and the Hilbert transformation for the interaction…

High Energy Physics - Phenomenology · Physics 2014-04-02 Vladimir Sauli

We investigate the gluon Wigner distributions for unpolarized, longitudinally polarized and transversely polarized target state. Instead of a nucleon, we take the target state to be a quark dressed with a gluon at one loop and investigate…

High Energy Physics - Phenomenology · Physics 2018-05-25 Jai More , Asmita Mukherjee , Sreeraj Nair

We study the Wigner distributions of quarks and gluons in light-front dressed quark model using the overlap of light front wave functions (LFWFs). We take the target to be a dressed quark, this is a composite spin $-1/2$ state of quark…

High Energy Physics - Phenomenology · Physics 2018-04-04 Jai More , Asmita Mukherjee , Sreeraj Nair

In this talk we report on recent results for the quark propagator on a compact manifold. The corresponding Dyson-Schwinger equations on a torus are solved on volumes similar to the ones used in lattice calculations. The quark-gluon…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. S. Fischer , M. R. Pennington

We introduce an extension to the ladder truncated Bethe-Salpeter equation for mesons and the rainbow truncated quark Dyson-Schwinger equations which includes quark-loop corrections to the gluon propagator. This truncation scheme obeys the…

High Energy Physics - Phenomenology · Physics 2013-05-29 C. S. Fischer , P. Watson , W. Cassing

It is shown that the solution of the quark Dyson-Schwinger equation in QCD obtained with a gluon propagator of the form $D(q) \sim q^2/[q^4+b^4]$ and a quark-gluon vertex that is free of kinematic singularities does not describe a confined…

High Energy Physics - Phenomenology · Physics 2008-02-03 Craig D. Roberts

With decades of years development, although important progresses have been made by the pioneers of this field, providing a sophisticated truncation scheme is still a great challenge up to now if the Dyson-Schwinger Equations(DSEs) of both…

Nuclear Theory · Physics 2021-10-29 Bin Wang

We decompose the quark propagator in the presence of an arbitrary gluon field with respect to a set of Dirac matrices. The four-dimensional integrals which arise in first order perturbation theory are rewritten as line-integrals along…

High Energy Physics - Phenomenology · Physics 2009-01-07 D. Gromes

We investigate the phase structure of QCD at finite temperature and chemical potential by solving a coupled set of truncated Dyson-Schwinger equations for the quark and gluon propagator. In contrast to previous calculations we take into…

High Energy Physics - Phenomenology · Physics 2013-01-31 Christian S. Fischer , Jan Luecker