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We establish a novel method of obtaining the gauge-invariant bilocal condensate of gluon fields from the solutions of the Dyson--Schwinger equations (DSE) which works in the infrared and ultraviolet limits. We present explicit results for…

High Energy Physics - Phenomenology · Physics 2008-12-19 A. V. Zayakin , J. Rafelski

We review a nonlocal-condensate approach and its application in QCD sum rules for the spacelike electromagnetic pion form factor. It is shown that the nonlocality of the condensates is a key point to include nonperturbative contributions to…

High Energy Physics - Phenomenology · Physics 2010-12-24 A. V. Pimikov , A. P. Bakulev , N. G. Stefanis

The interquark static potential for heavy mesons described by a massive One Gluon Exchange interaction obtained from the propagator of the truncated Dyson-Schwinger equations does not reproduced the expected Cornell potential. I show that…

High Energy Physics - Phenomenology · Physics 2015-06-05 Vicente Vento

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

Local formulations of quantum field theory provide a powerful framework in which non-perturbative aspects of QCD can be analysed. Here we report on how this approach can be used to elucidate the general analytic features of QCD propagators,…

High Energy Physics - Theory · Physics 2018-11-08 Peter Lowdon

Using the Cornwall-Jackiw-Tomboulis effective potential for composite operators we compute the QCD vacuum energy as a function of the dynamical quark and gluon propagators, which are related to their respective condensates as predicted by…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. V. Gorbar , A. A. Natale

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

After presenting a brief summary of functional approaches to QCD at vanishing temperatures and densities the application of QCD Green's functions at non-vanishing temperature and vanishing density is discussed. It is pointed out in which…

High Energy Physics - Phenomenology · Physics 2015-03-17 Reinhard Alkofer , Mario Mitter , Bernd-Jochen Schaefer

We suggest a somewhat indirect method for estimation of the nonlocal scalar quark condensate. The approach is based on analysis of the polarization operator of nucleon current in instanton medium.

High Energy Physics - Phenomenology · Physics 2014-06-13 M. G. Ryskin , E. G. Drukarev , V. A. Sadovnikova

Using the quark-meson coupling (QMC) model, we study the density dependence of the quark and gluon condensates in nuclear matter. We show that the change of the quark condensate is mainly driven by the scalar field in the medium and that…

Nuclear Theory · Physics 2010-02-17 K. Saito , K. Tsushima , A. W. Thomas

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 quark <\bar\psi \psi> and gluon <F_{\mu\nu}F^{\mu\nu}> vacuum expectation values are non-vanishing at low orders in \alpha_s when the perturbative ground state includes quark and gluon pairs. This offers possibilities of studying the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Paul Hoyer

It is shown that the solution of the quark Dyson-Schwinger equation in QCD obtained with a gluon propagator of the form $D(q) \sim q^2/[q^4+b^4]$ and a quark-gluon vertex that is free of kinematic singularities does not describe a confined…

High Energy Physics - Phenomenology · Physics 2008-02-03 Craig D. Roberts

We investigate the propagation of nonlinear energy density waves in a nonextensive quark-gluon plasma under the influence of a magnetic field using the reductive perturbation technique. For a nonextensive MIT bag equation of state, we…

High Energy Physics - Phenomenology · Physics 2024-03-19 Trambak Bhattacharyya , Md Hasanujjaman

The structure of the quark propagator of $QCD$ in a confining background is not known. We make an Ansatz for it, as hinted by a particular mechanism for confinement, and analyze its implications in the meson and baryon correlators. We…

High Energy Physics - Theory · Physics 2009-10-28 A. Ferrando , V. Vento

Time dependence for barrier penetration is considered in the phase space. An asymptotic phase-space propagator for nonrelativistic scattering on a one - dimensional barrier is constructed. The propagator has a form universal for various…

Quantum Physics · Physics 2009-10-30 M. S. Marinov , Bilha Segev

The quark condensate is calculated within the world-line effective-action formalism, by using for the Wilson loop an ansatz provided by the stochastic vacuum model. Starting with the relation between the quark and the gluon condensates in…

High Energy Physics - Phenomenology · Physics 2012-10-16 Dmitri Antonov , Jose Emilio F. T. Ribeiro

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

We introduced here the study of a QCD based on a complex group. Our aim is to show that a gauge theory with a complex symmetry develops some of the features required for the description of a confined phase. This theory leads to gluons with…

High Energy Physics - Theory · Physics 2020-05-13 R. L. P. G. Amaral , V. E. R. Lemes , O. S. Ventura , L. C. Q. Vilar

It is shown in a systematic way that the instanton dilute model can be combined with the global colour symmetry model to form a new nonperturbative QCD model. Based on the quark propagator derived in the instanton dilute liquid…

High Energy Physics - Phenomenology · Physics 2016-08-16 Hongshi Zong , Xiaohua Wu , Xiaofu Lü , Chaohsi Chang , Engang Zhao