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In this article, we calculate the dressed quark propagator with the flat bottom potential in the framework of the rain-bow Schwinger-Dyson equation, which is determined by mean field approximation of the global colour model lagrangian. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 Z. G. Wang

We describe a symmetry-preserving calculation of the meson spectrum, which combines a description of pion properties with reasonable estimates of the masses of heavier light-quark mesons, including axial-vector states. The kernels used in…

Nuclear Theory · Physics 2015-05-28 Lei Chang , Craig D. Roberts

We investigate the equal-time (static) quark propagator in Coulomb gauge within the Hamiltonian approach to QCD in $d=2$ spatial dimensions. Although the underlying Clifford algebra is very different from its counterpart in $d=3$, the gap…

High Energy Physics - Phenomenology · Physics 2021-02-03 Felix Spengler , Davide Campagnari , Hugo Reinhardt

We present results from a study of subtractive renormalization of the fermion propagator Dyson-Schwinger equation (DSE) in massive strong-coupling quenched QED$_4$. Results are compared for three different fermion-photon proper vertex {\it…

High Energy Physics - Phenomenology · Physics 2016-09-01 Frederick T. Hawes , Anthony G. Williams

We compute the critical coupling constant for the dynamical chiral-symmetry breaking in a model of quantum chromodynamics, solving numerically the quark self-energy using infrared finite gluon propagators found as solutions of the…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. A. Natale , P. S. Rodrigues da Silva

We report on the first self-consistent solution of the Dyson-Schwinger equation (DSE) for the three-gluon vertex. Based on earlier results for the propagators which match data from lattice Monte-Carlo simulations, we obtain results for the…

High Energy Physics - Phenomenology · Physics 2014-04-02 Adrian L. Blum , Markus Q. Huber , Mario Mitter , Lorenz von Smekal

We study the three-quark ladder Bethe--Salpeter equation in Minkowski-space QCD$_2$ in the light-cone gauge. Using the quasi-potential expansion, we project the baryon equation onto the light front and show that, at leading order in the…

High Energy Physics - Phenomenology · Physics 2026-05-11 Satvir Kaur , Sreeraj Nair , Chandan Mondal , Jiangshan Lan , Xingbo Zhao , J. P. B. C. de Melo , Tobias Frederico

The spectrum of $\bar q q$ mesons in a model where the only interaction is a linear Coulomb-like instantaneous confining potential is studied. The single-quark Green function as well as the dynamical chiral symmetry breaking are obtained…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. F. Wagenbrunn , L. Ya. Glozman

We investigate the properties of light scalar and pseudoscalar mesons at finite (light) quark chemical potential. To this end we solve a coupled set of (truncated) Dyson-Schwinger equations for the quark and gluon propagators in…

High Energy Physics - Phenomenology · Physics 2021-09-02 Pascal J. Gunkel , Christian S. Fischer , Philipp Isserstedt

Within the framework of the Dyson-Schwinger equations in the axial gauge, we study the effect that non-perturbative glue has on the quark propagator. We show that Ward-Takahashi identities, combined with the requirement of matching…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. R. Cudell , A. J. Gentles , D. A. Ross

We determine several quantities in quenched lattice QCD with exact chiral symmetry. For 100 gauge configurations generated with Wilson gauge action at $ \beta = 6.0 $ on the $ 16^3 \times 32 $ lattice, we compute quenched quark propagators…

High Energy Physics - Lattice · Physics 2008-11-26 Ting-Wai Chiu , Tung-Han Hsieh

Novel solutions of Minkowski QED2+1 and large $N_f$ QCD Schwinger-Dyson equations will be presented and discussed. The resultant propagators of confined degrees of freedom will be shown.

High Energy Physics - Phenomenology · Physics 2011-07-14 V. Sauli , Z. Batiz

Numerical study of the Schwinger-Dyson equation (SDE) for the fermion propagator (FP) to obtain dynamically generated chirally asymmetric solution in an arbitrary covariant gauge $\xi$ is a complicated exercise specially if one employs a…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Bashir , A. Raya

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

We calculate the light cone wave functions for a virtual photon to split into quark-antiquark states, including for the first time quark masses at one loop accuracy. These wave functions can be used to calculate cross sections for several…

High Energy Physics - Phenomenology · Physics 2022-08-31 G. Beuf , T. Lappi , R. Paatelainen

This study proposes that the longstanding problems of quantum chromodynamics (QCD) as an SU(3)_C gauge theory, the confinement mechanism and \Theta vacuum, can be resolved by dynamical spontaneous symmetry breaking (DSSB) through the…

High Energy Physics - Theory · Physics 2016-09-06 Heui-Seol Roh

Dynamical chiral-symmetry breaking in QCD is studied with the Schwinger-Dyson (SD) formalism based on lattice QCD data, i.e., LQCD-based SD formalism. We extract the SD kernel function $K(p^2)$ in an Ansatz-independent manner from the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Hideaki Iida , Makoto Oka , Hideo Suganuma

The effective gluon propagator constructed with the pinch technique is governed by a Schwinger-Dyson equation with special structure and gauge properties, that can be deduced from the correspondence with the background field method. Most…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. C. Aguilar , J. Papavassiliou

A recently proposed modified perturbative expansion for QCD incorporating gluon condensation is employed to evaluate the quark and gluon self-energy corrections in the first approximations. The results predict mass values of 1/3 of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Alejandro Cabo , Marcos Rigol

We demonstrate that the restoration of chiral symmetry at finite-T in a class of confining Dyson-Schwinger equation (DSE) models of QCD is a mean field transition, and that an accurate determination of the critical exponents using the…

Nuclear Theory · Physics 2010-03-04 Arne Hoell , Pieter Maris , Craig D. Roberts