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The quark-gluon vertex in Landau gauge QCD is investigated in the Dyson-Schwinger approach. The aim is to obtain a fully self-consistent solution of the quark propagator and the quark-gluon vertex Dyson-Schwinger equation (DSE) in the…

高能物理 - 唯象学 · 物理学 2012-11-01 Andreas Windisch , Markus Hopfer , Reinhard Alkofer

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…

高能物理 - 唯象学 · 物理学 2019-09-11 Can Tang , Fei Gao , Yu-xin Liu

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

Gluon, ghost, and quark propagators are computed in the Schwinger-Dyson formalism. The full set of one-loop and two-loop contributions to the gap equations are evaluated for the first time. A new and efficient method for dealing with…

高能物理 - 唯象学 · 物理学 2014-09-05 Joseph Meyers , Eric S. Swanson

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…

高能物理 - 唯象学 · 物理学 2008-11-26 Christian S. Fischer , Reinhard Alkofer

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…

高能物理 - 唯象学 · 物理学 2014-04-02 Adrian L. Blum , Markus Q. Huber , Mario Mitter , Lorenz von Smekal

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…

高能物理 - 唯象学 · 物理学 2007-05-23 Andreas Hauck , Reinhard Alkofer , Lorenz von Smekal

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…

高能物理 - 唯象学 · 物理学 2009-10-28 J. R. Cudell , A. J. Gentles , D. A. Ross

We introduce an extension to the ladder truncated Bethe-Salpeter equation for mesons and the rainbow truncated quark Dyson-Schwinger equations which includes quark-loop corrections to the gluon propagator. This truncation scheme obeys the…

高能物理 - 唯象学 · 物理学 2013-05-29 C. S. Fischer , P. Watson , W. Cassing

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…

高能物理 - 唯象学 · 物理学 2009-10-30 Lorenz von Smekal , Andreas Hauck , Reinhard Alkofer

Using the previously derived confining gluon propagator, the corresponding system of equations determining the quark propagator is derived. The system of equations consists of the Schwinger-Dyson equation for the quark propagator itself,…

高能物理 - 唯象学 · 物理学 2007-05-23 V. Gogokhia

We investigate the universality of truncation schemes for Dyson-Schwinger equations developed for quantum chromodynamics in theories which differ from quantum chromodynamics only in the gauge group. Our specific choices are the gauge groups…

高能物理 - 唯象学 · 物理学 2017-10-11 Romain Contant , Markus Q. Huber

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

The coupled Dyson-Schwinger equations for the gluon and ghost propagators are investigated in the Landau gauge using a two-loop improved truncation that preserves the multiplicative renormalizability of the propagators. In this truncation…

高能物理 - 唯象学 · 物理学 2009-01-14 J. C. R. Bloch

We take the Dyson-Schwinger equation (DSE) approach of QCD to study the phase transition and the equation of state of cold dense matter. Besides the bare vertex and Gauss gluon model, we take into account an improved truncation scheme, the…

高能物理 - 唯象学 · 物理学 2023-10-30 Zhan Bai , Yu-Xin Liu

The Schwinger-Dyson formalism is used to check the consistency of instanton model solutions for the quark propagator with recent models of confining gluon propagators. We find that the models are not consistent. A major discrepancy is the…

高能物理 - 唯象学 · 物理学 2009-10-31 L. S. Kisslinger , M. Aw , A. Harey , O. Linsuain

We develop a framework for deriving Dyson-Schwinger Equations (DSEs) and Bethe-Salpeter Equation (BSE) in QCD at large $N_c$ limit. The starting point is a modified form (with auxiliary fields) of QCD generating functional. This framework…

高能物理 - 理论 · 物理学 2017-12-06 Hui-Feng Fu , Qing Wang , Libo Jiang

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

We extend recent studies of the effects of quark-gluon vertex dressing upon the solutions of the Dyson-Schwinger equation for the quark propagator. A momentum delta function is used to represent the dominant infrared strength of the…

核理论 · 物理学 2008-11-26 Hrayr H. Matevosyan , Anthony W. Thomas , Peter C. Tandy

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…

高能物理 - 唯象学 · 物理学 2011-04-15 Reinhard Alkofer , Steven Ahlig , Lorenz von Smekal
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