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We investigate the equal-time (static) quark propagator in Coulomb gauge within the Hamiltonian approach to QCD. We use a non-Gaussian vacuum wave functional which includes the coupling of the quarks to the spatial gluons. The expectation…

High Energy Physics - Phenomenology · Physics 2020-01-08 Davide Campagnari , Hugo Reinhardt

The gluon propagator is computed in large asymmetric lattices, accessing momenta around 100 MeV and smaller. Our study tries to check the compatibility of the recent solutions of the gluon-ghost Dyson-Schwinger equations with lattice…

High Energy Physics - Lattice · Physics 2007-05-23 P. J. Silva , O. Oliveira

We employ the Dyson-Schwinger equations for quark and gluon propagators in order to study QCD with 2+1 flavours at finite temperature and density. In a suitable truncation for these equations, we determine the position of the critical…

High Energy Physics - Phenomenology · Physics 2013-08-22 Jan Luecker , Christian S. Fischer , Leonard Fister , Jan M. Pawlowski

The electromagnetic interaction with quarks is investigated through a relativistic, electromagnetic gauge-invariant treatment. Gluon dressing of the quark-photon vertex and the quark self-energy functions is described by the inhomogeneous…

Nuclear Theory · Physics 2009-09-25 Michael R. Frank

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 report preliminary results of our ongoing lattice computation of the Landau gauge quark propagator and the soft gluon limit of the quark-gluon vertex with 2 flavors of dynamical O(a) improved Wilson fermions.

High Energy Physics - Lattice · Physics 2018-01-09 Orlando Oliveira , Ayse Kızılersu , Paulo J. Silva , Jon-Ivar Skullerud , Andre Sternbeck , Anthony G. Williams

Because quarks and gluons are confined within hadrons, they have a maximum wavelength of order the confinement scale. Propagators, normally calculated for free quarks and gluons using Dyson-Schwinger equations, are modified by bound-state…

High Energy Physics - Theory · Physics 2008-11-26 Stanley J. Brodsky , Robert Shrock

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

In these proceedings I review the status of an ongoing project that aims at solving the quark propagator Dyson-Schwinger equation in the complex domain. The novel aspect of the approach is that the non-analyticities arising throughout the…

High Energy Physics - Phenomenology · Physics 2017-07-17 Andreas Windisch

The gluon propagator is investigated in Landau and in maximal center gauge for the gauge group SU(2) by means of lattice gauge simulations. We find that Gribov ambiguities arising from the implementation of Landau gauge have a small…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Langfeld , H. Reinhardt , J. Gattnar

After a derivation of low-energy limit of QCD, being this a non-local Nambu-Jona-Lasinio model, we are able to show that confinement emerges as a two-loop correction to the gluon propagator. One-gluon exchange is not enough as recently…

High Energy Physics - Phenomenology · Physics 2013-04-08 Marco Frasca

We present an unquenched calculation of the quark propagator in Landau gauge with 2+1 flavors of dynamical quarks. We study the scaling behavior of the quark propagator in full QCD on two lattices with different lattice spacings and similar…

High Energy Physics - Lattice · Physics 2010-03-04 Maria B. Parappilly , Patrick O. Bowman , Urs M. Heller , Derek B Leinweber , Anthony G. Williams , J. B. Zhang

In this work we explore the effect of pion cloud contributions to the mass of the nucleon and the delta baryon. To this end we solve a coupled system of Dyson-Schwinger equations for the quark propagator, a Bethe-Salpeter equation for the…

High Energy Physics - Phenomenology · Physics 2014-05-06 Helios Sanchis-Alepuz , Christian S. Fischer , Stanislav Kubrak

We study the role of the Schwinger phase (SP) that appears in the propagator of a charged particle in the presence of a static and uniform magnetic field $\vec{B}$. We first note that this phase cannot be removed by a gauge transformation;…

High Energy Physics - Phenomenology · Physics 2023-08-02 D. Gomez Dumm , S. Noguera , N. N. Scoccola

We study the phase structure and phase transition of cold dense QCD matter via the Dyson-Schwinger equation approach. We take the rainbow approximation and the Gaussian-type gluon model. In order to guarantee that the quark number density…

High Energy Physics - Phenomenology · Physics 2021-09-22 Zhan Bai , Yu-xin Liu

A truncation scheme for the Dyson-Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov-Taylor identities for the 3-point vertex functions. Neglecting contributions from 4-point correlations such as the…

High Energy Physics - Phenomenology · Physics 2009-10-30 Lorenz von Smekal , Andreas Hauck , Reinhard Alkofer

The non-perturbative gluon and ghost propagators in Landau gauge QCD are obtained using the Schwinger-Dyson equation approach. The propagator equations are solved in Euclidean space using Landau gauge with a range of vertex inputs.…

High Energy Physics - Phenomenology · Physics 2015-03-19 D. J. Wilson , M. R. Pennington

We investigate the color-spin locked (CSL) phase of spin-one color- superconducting quark matter using a truncated Dyson-Schwinger equation for the quark propagator in Landau gauge. Starting from the most general parity conserving ansatz…

High Energy Physics - Phenomenology · Physics 2008-11-26 Florian Marhauser , Dominik Nickel , Michael Buballa , Jochen Wambach

We investigate the Wigner distributions of $\bar{u}$ and $\bar{d}$ quarks in a proton using the overlap representation within the light cone formalism. Using the light cone wave functions which are obtained from the baryon-meson fluctuation…

High Energy Physics - Phenomenology · Physics 2024-01-30 Xiaoyan Luan , Zhun Lu

Solutions and their evolutions of the quark gap equation are studied within the Nambu-Jona--Lasinio model, which is a basic issue for studying the QCD phase structure and locating the possible critical end point. It is shown that in the…

High Energy Physics - Phenomenology · Physics 2018-09-28 Zhu-Fang Cui , Shu-Sheng Xu , Bo-Lin Li , An Sun , Jing-Bo Zhang , Hong-Shi Zong
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