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We derive covariant wave functions for hadrons composed of two constituents for arbitrary Lorentz boosts. Focussing explicitly on baryons as quark-diquark systems, we reduce their manifestly covariant Bethe-Salpeter equation to covariant…

Nuclear Theory · Physics 2007-05-23 M. Dillig

In this paper I investigate the analytic properties of the quark propagator Dyson-Schwinger equation (DSE) in the Landau gauge. In the quark self-energy, the combined gluon propagator and quark-gluon vertex is modeled by an effective…

High Energy Physics - Phenomenology · Physics 2017-04-26 Andreas Windisch

The leading-twist parton distribution functions of the pion and kaon are calculated for the first time using a rainbow-ladder truncation of QCD's Dyson-Schwinger equations (DSEs) that self-consistently sums all planar diagrams. The…

Nuclear Theory · Physics 2020-02-05 Kyle D. Bednar , Ian C. Cloët , Peter C. Tandy

We report results on the quark spectral function in the Landau gauge at finite temperature determined from its Dyson-Schwinger equation. Compared to earlier quenched results this study encompasses unquenched $N_f=2+1$ fermion flavors in the…

High Energy Physics - Phenomenology · Physics 2018-07-11 Christian S. Fischer , Jan M. Pawlowski , Alexander Rothkopf , Christian A. Welzbacher

We deliver a new scheme to compute the quark propagator and the quark-gluon interaction vertex through the coupled Dyson-Schwinger equations (DSEs) of QCD. We take the three-gluon vertex into account in our calculations, and implement the…

High Energy Physics - Phenomenology · Physics 2019-09-11 Can Tang , Fei Gao , Yu-xin Liu

Soft-QCD effects of quark-level form factors in $\gamma\gamma$ decay of $B_s$-mesons via $D{\bar D}$ intermediate states, suggested by Ellis et al, are examined in the "Salpeter" model [reinterpreted in terms of the Markov-Yukawa…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. N. Mitra

Using the spectral representation of the quark propagator we study the Dirac decomposition of the gauge invariant quark propagator, whose imaginary part describes the hadronization of a quark as this interacts with the vacuum. We then…

High Energy Physics - Phenomenology · Physics 2023-09-06 Caroline S. R. Costa , Alberto Accardi , Andrea Signori

This review paper presents the gluon, sea, and valence quark distributions of the pseudoscalar (PS) mesons. The calculations of the parton structure of PS mesons are performed using the Bethe-Salpeter equation-Nambu--Jona-Lasinio (BSE-NJL)…

High Energy Physics - Phenomenology · Physics 2023-03-06 Parada T. P. Hutauruk , Seung-il Nam

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

Deep-inelastic structure functions are studied within a covariant scalar diquark spectator model of the nucleon. Treating the target as a two-body bound state of a quark and a scalar diquark, the Bethe-Salpeter equation (BSE) for the bound…

High Energy Physics - Phenomenology · Physics 2010-02-17 K. Kusaka , G. Piller , A. W. Thomas , A. G. Williams

Bound q\bar q systems are studied in the framework of different 3-dimensional relativistic equations derived from the Bethe-Salpeter equation with the instantaneous kernel in the momentum space. Except the Salpeter equation, all these…

High Energy Physics - Phenomenology · Physics 2014-11-17 T. Babutsidze , T. Kopaleishvili , A. G. Rusetsky

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 2011-04-15 Reinhard Alkofer , Steven Ahlig , Lorenz von Smekal

We calculate mass spectra of charmed baryons within a relativistically covariant quark model based on the Bethe-Salpeter-equation in instantaneous approximation. Interactions are given by a linearly rising three-body confinement potential…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sascha Migura , Dirk Merten , Bernard Metsch , Herbert-R. Petry

The transport properties of the quark-gluon plasma is important both from the point of view of the astrophysical systems and the heavy ion collisions. Therefore, accurate calculations of the elastic scattering cross-sections of $qq' \to…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sushan Konar , Avijit Kumar Ganguly

*REVISED VERSION* Two quark propagators with different analytic structure are employed in on and off mass-shell Bethe-Salpeter type equations for the pion and scalar diquark form-factors. One of the quark propagators has been calculated…

High Energy Physics - Phenomenology · Physics 2009-10-22 Samuel J. Stainsby , Reginald T. Cahill

We summarise results on the infrared behaviour of Landau gauge QCD from the Green's functions approach and lattice calculations. Approximate, nonperturbative solutions for the ghost, gluon and quark propagators as well as first results for…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. S. Fischer , F. Llanes-Estrada , R. Alkofer

This is the third of a series of papers treating light baryon resonances up to 3 GeV within a relativistically covariant quark model based on the Bethe-Salpeter equation with instantaneous two- and three-body forces. In this last paper we…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ulrich Loering , Bernard Ch. Metsch , Herbert R. Petry

We give a review of recent progress on the application of the relativistic chiral SU(3) Lagrangian to meson-baryon scattering. It is shown that a combined chiral and 1/N_c expansion of the Bethe-Salpeter interaction kernel leads to a good…

Nuclear Theory · Physics 2014-11-18 M. F. M. Lutz , E. E. Kolomeitsev

The effect of quark-gluon vertex dressing on the ground state masses of the u/d-quark pseudoscalar, vector and axialvector mesons is considered with the Dyson-Schwinger equations. This extends the ladder-rainbow Bethe-Salpeter kernel to…

High Energy Physics - Phenomenology · Physics 2015-06-25 P. Watson , W. Cassing , P. C. Tandy

We investigate the quark-gluon three-point correlation function within a one-loop computation performed in the Curci-Ferrari massive extension of the Faddeev-Popov gauge-fixed action. The mass term is used as a minimal way for taking into…

High Energy Physics - Theory · Physics 2016-07-27 Marcela Peláez , Matthieu Tissier , Nicolás Wschebor