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The quark mass function is computed both by solving the quark propagator Dyson-Schwinger equation and from lattice simulations implementing overlap and Domain-Wall fermion actions for valence and sea quarks, respectively. The results are…

High Energy Physics - Lattice · Physics 2021-12-01 Lei Chang , Yu-Bin Liu , Khépani Raya , J. Rodríguez-Quintero , Yi-Bo Yang

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 2007-05-23 Andreas Hauck , Reinhard Alkofer , Lorenz von Smekal

We present a calculation of the three-gluon vertex from its Dyson-Schwinger equation in Landau-gauge Yang-Mills theory. All tensor structures are considered and back-coupled self-consistently. Within the chosen truncation, two-loop diagrams…

High Energy Physics - Phenomenology · Physics 2014-04-18 Milan Vujinovic , Reinhard Alkofer , Gernot Eichmann , Richard Williams

The parton structure of the nucleon and pion is investigated in an exploratory model that allows one to assess whether the dressing of quarks can, by itself, produce realistic gluon contributions to light-cone momentum fractions,…

Nuclear Theory · Physics 2025-05-02 Peter C. Tandy

There has been growing evidence that the infrared enhancement of the form factors defining the full quark-gluon vertex plays an important role in realizing a dynamical breakdown of chiral symmetry in quantum chromodynamics, leading to the…

High Energy Physics - Phenomenology · Physics 2017-04-05 R. Bermudez , L. Albino , L. X. Gutiérrez-Guerrero , M. E. Tejeda-Yeomans , A. Bashir

The gluon propagator plays a central role in determining the dynamics of QCD. In this work we demonstrate for BRST quantised QCD that the Dyson-Schwinger equation imposes significant analytic constraints on the structure of this propagator.…

High Energy Physics - Theory · Physics 2018-10-31 Peter Lowdon

We have systematically constructed the general structure of the fermion self-energy and the effective quark propagator in presence of a nontrivial background like hot magnetised medium. This is applicable to both QED and QCD. The hard…

High Energy Physics - Phenomenology · Physics 2018-02-28 Aritra Das , Aritra Bandyopadhyay , Pradip K. Roy , Munshi G. Mustafa

Within the Dyson-Schwinger equations (DSEs) framework, a gluon propagator model incorporating quark's feedback through operator product expansion (OPE) is introduced to investigate the QCD phase diagram in the…

High Energy Physics - Phenomenology · Physics 2016-03-23 Chao Shi , Yi-Lun Du , Shu-Sheng Xu , Xiao-Jun Liu , Hong-Shi Zong

In the present work we determine the eight form factors of the transversely-projected quark-gluon vertex in general kinematics, in the context of Landau-gauge QCD with two degenerate light dynamical quarks. The study is based on the set of…

High Energy Physics - Phenomenology · Physics 2024-08-29 A. C. Aguilar , M. N. Ferreira , G. T. Linhares , B. M. Oliveira , J. Papavassiliou

We have investigated a closed system of equations for the quark propagator, obtained earlier within our general approach to QCD at low energies. It implies quark confinement (the quark propagator has no pole, indeed), as well as the…

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

The coupled system of renormalized Dyson-Schwinger equations for the quark, gluon and ghost propagators of Landau gauge QCD is solved within truncation schemes. These employ bare as well as non-perturbative ansaetze for the vertices such…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian S. Fischer , Reinhard Alkofer

We present approximate non-perturbative solutions for the propagators as well as the running coupling of QCD from a coupled system of renormalised, truncated Dyson--Schwinger equations. We employ ansaetze for the dressed vertices such that…

High Energy Physics - Phenomenology · Physics 2009-09-29 Christian S. Fischer

Using the Schwinger-Dyson equations the possible infrared behaviour of the gluon propagator is studied. Previous work performed in axial gauges is reviewed, the approximations needed detailed and the difficulties of their justification…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kirsten Büttner

The Dual Meissner Effect description of QCD in the confining region provides $\frac{1}{q^4}$ behaviour for the gluon propagator and involves the dual gluon mass $m$ as a parameter. This is used in the Schwinger-Dyson equation for the quarks…

High Energy Physics - Theory · Physics 2009-11-10 Alok Kumar , R. Parthasarathy

In this work we examine the Fat-Link Irrelevant Clover (FLIC) overlap quark propagator and the gluon propagator on both dynamical and quenched lattices. The tadpole-improved Luscher-Weisz gauge action is used in both cases. The dynamical…

High Energy Physics - Lattice · Physics 2008-11-26 Waseem Kamleh , Patrick O. Bowman , Derek B. Leinweber , Anthony G. Williams , Jianbo Zhang

We present a self-consistent calculation of the four-gluon vertex of Landau gauge Yang--Mills theory from a truncated Dyson--Schwinger equation. The equation contains the leading diagrams in the ultraviolet and is solved using as the only…

High Energy Physics - Phenomenology · Physics 2015-03-17 Anton K. Cyrol , Markus Q. Huber , Lorenz von Smekal

The quark number susceptibility is expressed as an integral in terms of dressed quark propagator and dressed vector vertex. It is then investigated with the latter two- and three-point functions confronted with a Dyson-Schwinger equation…

High Energy Physics - Phenomenology · Physics 2010-04-28 Min He , Jian-Feng Li , Wei-Min Sun , Hong-Shi Zong

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

In the Euclidean-space formulation of integral equations for the structure of quantum chromodynamics (QCD) bound states, the quark propagators with complex-valued momentum are densely sampled. We therefore propose an accurate and efficient…

Nuclear Theory · Physics 2024-01-23 Shaoyang Jia , Ian Cloët

Dong, Munczek and Roberts have shown how the full 3-point vertex that appears in the Schwinger-Dyson equation for the fermion propagator can be expressed in terms of a constrained function $W_1$ in massless quenched QED. However, this…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. Bashir , A. Kizilersu , M. R. Pennington
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