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We fix exactly and uniquely the infrared structure of the full gluon propagator in QCD, not solving explicitly the corresponding dynamical equation of motion. By construction, this structure is an infinite sum over all possible severe…

高能物理 - 唯象学 · 物理学 2009-11-10 V. Gogohia

We survey contemporary studies of hadrons and strongly interacting quarks using QCD's Dyson-Schwinger equations, addressing: aspects of confinement and dynamical chiral symmetry breaking; the hadron spectrum; hadron elastic and transition…

In the first part of this thesis a coupled truncated set of Dyson-Schwinger equations (DSEs) including the one for the gluon-propagator is solved self-consistently over the whole momentum range. In Landau gauge the truncation of the coupled…

高能物理 - 理论 · 物理学 2014-12-22 Valentin Mader

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…

高能物理 - 唯象学 · 物理学 2015-03-17 Reinhard Alkofer , Mario Mitter , Bernd-Jochen Schaefer

The gluon propagator is one of the fundamental Green's functions of QCD. It is an essential ingredient in, for example, the modeling of the Schwinger-Dyson equation used to describe hadronic phenomenology. From the Landau gauge gluon…

高能物理 - 唯象学 · 物理学 2011-09-20 Orlando Oliveira , P. Bicudo , D. Dudal , T. Frederico , W. de Paula , N. Vandersickel

The propagator for gluons in a space-time dependent field is derived. This is accomplished by solving the equation of motion for the gluonic Green's functions. Subsequently a relationship between the quark and the gluon propagator is…

高能物理 - 唯象学 · 物理学 2009-11-10 Dennis D. Dietrich

The renormalised quark Dyson-Schwinger equation is studied in the limit of the renormalised current heavy quark mass m_R --> infinity. We are particularly interested in the analytic pole structure of the heavy quark propagator in the…

高能物理 - 唯象学 · 物理学 2009-10-30 C. J. Burden

We study quantum chromodynamics from the viewpoint of untruncated Dyson-Schwinger equations turned to an ordinary differential equation for the gluon anomalous dimension. This nonlinear equation is parameterized by a function P(x) which is…

高能物理 - 理论 · 物理学 2010-01-21 Guillaume van Baalen , Dirk Kreimer , David Uminsky , Karen Yeats

The coupled system of the quark-gluon vertex and quark propagator Dyson-Schwinger equations (DSEs) is investigated within Landau gauge QCD. The aim is to get a deeper insight into the mechanisms of quark confinement and dynamical chiral…

高能物理 - 唯象学 · 物理学 2013-01-17 Markus Hopfer , Andreas Windisch , Reinhard Alkofer

In Landau gauge QCD the Kugo-Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators are reviewed. It is demonstrated that the realization of this confinement criterion (which is closely…

核理论 · 物理学 2009-11-10 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

Truncated Dyson-Schwinger equations represent finite subsets of the equations of motion for Green's functions. Solutions to these non-linear integral equations can account for non-perturbative correlations. A closed set of coupled…

高能物理 - 唯象学 · 物理学 2009-10-31 Andreas Hauck , Lorenz von Smekal , Reinhard Alkofer

With decades of years development, although important progresses have been made by the pioneers of this field, providing a sophisticated truncation scheme is still a great challenge up to now if the Dyson-Schwinger Equations(DSEs) of both…

核理论 · 物理学 2021-10-29 Bin Wang

Recent lattice-QCD results for the dressed-gluon propagator are used within the quark Dyson-Schwinger equation to determine the gluon-quark vertex dressing necessary to reproduce the lattice-QCD results for the dressed-quark propagator.…

核理论 · 物理学 2009-11-11 M. S. Bhagwat , P. C. Tandy

The phase diagram of dense QCD at nonvanishing temperatures and large quark chemical potentials is studied with Dyson-Schwinger equations for 2+1 quark flavors, focusing on color-superconducting phases with 2SC and CFL-like pairing. The…

高能物理 - 唯象学 · 物理学 2016-03-10 Daniel Müller , Michael Buballa , Jochen Wambach

In this article we use the Schwinger-Dyson equations to compute the nonperturbative modifications caused to the infrared finite gluon propagator (in the Landau gauge) by the inclusion of a small number of quark families. Our basic operating…

高能物理 - 唯象学 · 物理学 2015-06-04 A. C. Aguilar , D. Binosi , J. Papavassiliou

The gauge invariant generation of an effective gluon mass proceeds through the well-known Schwinger mechanism, whose key dynamical ingredient is the nonperturbative formation of longitudinally coupled massless bound-state excitations. These…

高能物理 - 唯象学 · 物理学 2015-05-30 A. C. Aguilar , D. Ibáñez , V. Mathieu , J. Papavassiliou

We investigate the phases of dense QCD matter at finite temperature with Dyson-Schwinger equations for the quark propagator for N_f=2+1 flavors. For the gluon propagator we take a fit to quenched lattice data and add quark-loop effects…

高能物理 - 唯象学 · 物理学 2013-07-30 Daniel Müller , Michael Buballa , Jochen Wambach

The analytic structure of the non-perturbative gluon propagator contains information on the absence of gluons from the physical spectrum of the theory. We study this structure from numerical solutions in the complex momentum plane of the…

高能物理 - 唯象学 · 物理学 2013-05-30 Stefan Strauss , Christian S. Fischer , Christian Kellermann

The possible infrared behaviour of the gluon propagator is studied analytically, using the Schwinger-Dyson equations, in both the axial and the Landau gauge. The possibility of a gluon propagator less singular than $1/k^{2}$ when $k^{2}…

高能物理 - 唯象学 · 物理学 2009-10-28 Kirsten Büttner , M. R. Pennington

A representative but not exhaustive review of the Schwinger-Dyson equation (SDE) approach to the nonperturbative study of QCD is presented. The main focus is the SDE for the quark self energy but studies of the gluon propagator and…

高能物理 - 唯象学 · 物理学 2007-05-23 Craig D. Roberts