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We study the causal structure of the quark propagator with the spectral DSE. The spectral gap equation is solved with the input of the spectral representation of the gluon and a causal STI-construction for the quark-gluon vertex. The latter…

High Energy Physics - Phenomenology · Physics 2025-02-27 Jan M. Pawlowski , Jonas Wessely

The real-world properties of quantum chromodynamics (QCD) - the strongly-interacting piece of the Standard Model - are dominated by two emergent phenomena: confinement; namely, the theory's elementary degrees-of-freedom - quarks and gluons…

Nuclear Theory · Physics 2012-03-27 Craig D. Roberts

The non-perturbative gluon and ghost propagators in Landau gauge QCD are obtained using the Schwinger-Dyson equation approach. The propagator equations are solved in Euclidean space using Landau gauge with a range of vertex inputs.…

High Energy Physics - Phenomenology · Physics 2015-03-19 D. J. Wilson , M. R. Pennington

In principle, calculation of a full Green's function in any field theory requires knowledge of the infinite set of multi-point Green's functions, unless one can find some way of truncating the corresponding Schwinger-Dyson equations. For…

High Energy Physics - Theory · Physics 2009-07-09 A. Kizilersu , M. R. Pennington

A calculation of the thermal quark propagator is presented taking the gluon condensate above the critical temperature into account. The quark dispersion relation and the dilepton production following from this propagator are derived.

High Energy Physics - Phenomenology · Physics 2015-06-25 M. G. Mustafa , A. Sch"afer , M. H. Thoma

We report robust calculations of various low energy QCD hadronic properties. We use a multi-rank separable expansion for the gluon propagator which greatly facilitates the numerical computations within the Global Colour Model for QCD. The…

High Energy Physics - Phenomenology · Physics 2009-10-28 Reginald T. Cahill , Susan M. Gunner

Recent progress in our studies of propagators and three-point functions in Landau gauge for QCD and QCD-like theories is presented. Special emphasis is put on the properties of the three-gluon vertex and the quark-gluon vertex. The effect…

High Energy Physics - Phenomenology · Physics 2014-05-29 Reinhard Alkofer , Gernot Eichmann , Christian S. Fischer , Markus Hopfer , Milan Vujinovic , Richard Williams , Andreas Windisch

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…

High Energy Physics - Phenomenology · Physics 2016-03-10 Daniel Müller , Michael Buballa , Jochen Wambach

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…

High Energy Physics - Phenomenology · Physics 2013-07-30 Daniel Müller , Michael Buballa , Jochen Wambach

We calculate the variation of the chiral condensate in medium with respect to the quark chemical potential and evaluate the pion-nucleon sigma term via the Hellmann-Feynman theorem. The variation of chiral condensate in medium are obtained…

Nuclear Theory · Physics 2020-03-27 Jing-Hui Huang , Ting-Ting Sun , Huan Chen

We solve the Dyson-Schwinger equations of the ghost and gluon propagators of Landau gauge Yang-Mills theory together with that of the ghost-gluon vertex. The latter plays a central role in many truncation schemes for functional equations.…

High Energy Physics - Theory · Physics 2013-06-25 Markus Q. Huber , Lorenz von Smekal

This talk was presented to a non-lattice audience at the June, 1992 Paris Workshop on QCD Vacuum Structure. We report on the status of quark and gluon propagators in quenched, gaugefixed lattice QCD. In Landau gauge we find that the…

High Energy Physics - Lattice · Physics 2007-05-23 Claude Bernard , Amarjit Soni , Ken Yee

We study numerically the Schwinger-Dyson equations for the coupled system of gluon and ghost propagators in the Landau gauge and in the case of pure gauge QCD. We show that a dynamical mass for the gluon propagator arises as a solution…

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

We revisit the treatment of spurious ultraviolet divergences in the equation of motion of the gluon propagator caused by a momentum cutoff and the resulting violation of gauge invariance. With present continuum studies of the gluon…

High Energy Physics - Phenomenology · Physics 2015-06-19 Markus Q. Huber , Lorenz von Smekal

In this contribution, we summarize a truncation-independent method to compute the equation of state within nonperturbative functional approaches. After demonstrating its viability, the method is applied to solutions obtained from a set of…

High Energy Physics - Phenomenology · Physics 2023-01-27 Philipp Isserstedt , Christian S. Fischer , Thorsten Steinert

We employ the Dyson-Schwinger equations for quark and gluon propagators in order to study QCD with 2+1 flavours at finite temperature and density. In a suitable truncation for these equations, we determine the position of the critical…

High Energy Physics - Phenomenology · Physics 2013-08-22 Jan Luecker , Christian S. Fischer , Leonard Fister , Jan M. Pawlowski

We provide a glimpse of recent progress in hadron physics made using QCD's Dyson-Schwinger equations, reviewing: the notion of in-hadron condensates and a putative solution of a gross problem with the cosmological constant; the dynamical…

Nuclear Theory · Physics 2015-05-27 L. Chang , I. C. Cloet , C. D. Roberts , H. L. L. Roberts

Using lattice quantum chromodynamics (QCD) we perform an unquenched calculation of the gluon propagator in Landau gauge. We use configurations generated with the AsqTad quark action by the MILC collaboration for the dynamical quarks and…

High Energy Physics - Lattice · Physics 2008-11-26 Patrick O. Bowman , Urs M. Heller , Derek B. Leinweber , Maria B. Parappilly , Anthony G. Williams

The quark mass function $\Sigma(p)$ in QCD is revisited, using a gluon propagator in the form $1/(k^2 + m_g^2)$ plus $2\mu^2/ (k^2 + m_g^2)^2$, where the second (IR) term gives linear confinement for $m_g = 0$ in the instantaneous limit,…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. N. Mitra , W-Y. P. Hwang

We investigate the quark-gluon three-point correlation function within a one-loop computation performed in the Curci-Ferrari massive extension of the Faddeev-Popov gauge-fixed action. The mass term is used as a minimal way for taking into…

High Energy Physics - Theory · Physics 2016-07-27 Marcela Peláez , Matthieu Tissier , Nicolás Wschebor
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