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The combined Dyson-Schwinger--Bethe-Salpeter equations are employed at non-zero temperature. The truncations refer to a rainbow-ladder approximation augmented with an interaction kernel which facilitates a special temperature dependence. At…

Nuclear Theory · Physics 2019-05-01 S. M. Dorkin , L. P. Kaptari , B. Kämpfer

We study the gauge dependence of the quark propagator in quantum chromodynamics by solving the gap equation with a nonperturbative quark-gluon vertex which is constrained by longitudinal and transverse Slavnov-Taylor identities, the…

High Energy Physics - Phenomenology · Physics 2023-04-26 José Roberto Lessa , Fernando E. Serna , Bruno El-Bennich , Adnan Bashir , Orlando Oliveira

We present a unified picture of mesons and baryons in the Dyson-Schwinger/Bethe-Salpeter approach, wherein the quark-gluon and quark-(anti)quark interaction follow from a systematic truncation of the QCD effective action and includes all…

High Energy Physics - Phenomenology · Physics 2015-09-08 Helios Sanchis-Alepuz , Richard Williams

To study the characteristic features of relativistic bound systems, the Bethe-Salpeter equation (BSE) for two equal mass spin 1/2 particles (like the deuteron) is solved in the cm-frame for a covariant separable interaction kernel. For that…

Nuclear Theory · Physics 2007-05-23 Frieder Kleefeld , Manfred Dillig

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

In an SU(N) gauge field theory, the n-point Green functions, namely, propagators and vertices, transform under the simultaneous local gauge variations of the gluon vector potential and the quark matter field in such a manner that the…

High Energy Physics - Theory · Physics 2016-04-06 M. Jamil Aslam , A. Bashir , L. X. Gutierrez-Guerrero

We present a detailed analysis of the kinetic and mass terms associated with the Landau gauge gluon propagator in the presence of dynamical quarks, and a comprehensive dynamical study of certain special kinematic limits of the three-gluon…

High Energy Physics - Phenomenology · Physics 2020-03-18 A. C. Aguilar , F. De Soto , M. N. Ferreira , J. Papavassiliou , J. Rodríguez-Quintero , S. Zafeiropoulos

The relativistic chiral SU(3) Lagrangian is used to describe kaon-nucleon scattering imposing constraints from the pion-nucleon sector and the axial-vector coupling constants of the baryon octet states. We solve the covariant…

Nuclear Theory · Physics 2010-12-16 M. F. M. Lutz , E. E. Kolomeitsev

The Quark-quark (QQ) and Quark-nucleon (QN) interactions in this paper are derived from the Extended-soft-core (ESC) interactions. The meson-quark-quark (MQQ) vertices are determined in the framework of the constituent quark model (CQM).…

Nuclear Theory · Physics 2024-12-23 Th. A. Rijken , Y. Yamamoto

The variational approach to QCD in Coulomb gauge developed previously by the T\"ubingen group is improved by enlarging the space of quark trial vacuum wave functionals through a new Dirac structure in the quark-gluon coupling. Our ansatz…

High Energy Physics - Phenomenology · Physics 2016-03-09 P. Vastag , H. Reinhardt , D. Campagnari

Soft Two-body potentials between the constituent quarks of the nucleon are derived using harmonic oscillator, i.e. gaussian, quark wave-functions. The gaussian wave-functions are very suited for applications with the ESC soft-core…

Nuclear Theory · Physics 2025-01-22 Th. A. Rijken

A low energy effective field theory model for QCD with a scalar color octet field is discussed. The model relates the gluon mass, the constituent quark masses and the quark condensate. The gluon mass comes about $\sqrt{N_c}\, \Lambda_{QCD}$…

High Energy Physics - Phenomenology · Physics 2011-05-27 O. Oliveira , W. de Paula , T. Frederico

In this paper the non-perturbative suppression of the Chiral Magnetic Effect (CME) is investigated in the deconfined region of the QCD phase diagram (as a model for Quark-Gluon Plasma (QGP) emerging in Heavy Ion Collisions (HIC)), using the…

High Energy Physics - Phenomenology · Physics 2025-03-25 Ruslan A. Abramchuk

We present here the first result on the three-loop gluon jet function in perturbative QCD. Using the three-loop coefficient functions [1,2] for deep-inelastic scattering via the exchange of a virtual photon that couples to quarks or a…

High Energy Physics - Phenomenology · Physics 2018-11-28 Pulak Banerjee , Prasanna K. Dhani , V. Ravindran

Bound q\bar q -systems are considered in the framework of three different versions of the 3-dimensional reduction of the Bethe-Salpeter equation, all having the correct one-body limit when one of the constituent quark masses tends to…

High Energy Physics - Phenomenology · Physics 2009-10-30 T. Babutsidze , T. Kopaleishvili , A. Rusetsky

The Dyson-Schwinger equation for the quark self energy is solved in rainbow approximation using an infrared (IR) vanishing gluon propagator that introduces an IR mass scale $b$. There exists a $b$ dependent critical coupling indicating the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Axel Bender , Reinhard Alkofer

In this paper, we present results on strong two-body decay widths of light $q\bar q$ mesons calculated in a covariant quark model. The model is based on the Bethe-Salpeter equation in its instantaneous approximation and has already been…

High Energy Physics - Phenomenology · Physics 2011-07-19 Ralf Ricken , Matthias Koll , Dirk Merten , Bernard C. Metsch

Three jet events arising from decays of the $Z^0$ boson, collected by the DELPHI detector at LEP, were used to measure differences in the properties of quark and gluon jet fragmentation. Gluon jets were anti-tagged in $b\bar{b}g$ events, by…

High Energy Physics - Experiment · Physics 2007-05-23 S. Marti i Garcia

Within the framework of the instantaneous Bethe-Salpeter equation, we present a detailed analysis of light meson spectra with respect to various parameterizations of confinement in Dirac space. Assuming a linearly rising quark-antiquark…

High Energy Physics - Phenomenology · Physics 2009-10-31 Ralf Ricken , Matthias Koll , Dirk Merten , Bernard Ch. Metsch , Herbert R. Petry

After a general discussion on the choice of gauge, we compare the quark propagator in the background of one instanton in regular and singular gauge with a gauge invariant propagator obtained by inserting a path-ordered gluon exponential.…

High Energy Physics - Phenomenology · Physics 2016-09-01 Marcus Hutter