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We calculate the spectral function of light quark flavours in 2+1 flavour vacuum QCD in the isospin-symmetric approximation. We employ spectral Dyson-Schwinger equations and compute the non-perturbative quark propagator directly in…

High Energy Physics - Phenomenology · Physics 2023-10-11 Jan Horak , Jan M. Pawlowski , Nicolas Wink

In this talk, we review some of the current efforts to understand the phenomenon of chiral symmetry breaking and the generation of a dynamical quark mass. To do that, we will use the standard framework of the Schwinger-Dyson equations. The…

High Energy Physics - Phenomenology · Physics 2018-08-10 A. C. Aguilar , M. N. Ferreira

The Gluon and Ghost propagators in Landau gauge QCD are investigated using the Schwinger-Dyson equation approach. Working in Euclidean spacetime, we solve for these propagators using a selection of vertex inputs, initially for the ghost…

High Energy Physics - Phenomenology · Physics 2012-01-12 M. R. Pennington , D. J. Wilson

We present a calculation of the three-quark core contribution to nucleon and Delta-baryon masses and Delta electromagnetic form factors in a Poincare-covariant Faddeev approach. A consistent setup for the dressed-quark propagator, the…

High Energy Physics - Phenomenology · Physics 2011-03-21 D. Nicmorus , G. Eichmann , A. Krassnigg , R. Alkofer

Based on the Generalized Quantum Electrodynamics expression for the Podolsky propagator, which preserves gauge invariance for massive photons, we propose a model for the massive gluon propagator that reproduces well-known features of…

High Energy Physics - Phenomenology · Physics 2021-04-21 Bruno El-Bennich , G. E. R. Zambrano , Eduardo Rojas

The effect of transverse gluons on the chiral symmetry patterns of excited mesons is studied in a Coulomb gauge QCD model. The linear rising static quark-antiquark potential and the transverse gluon propagator known from lattice studies are…

High Energy Physics - Phenomenology · Physics 2014-03-11 M. Pak , L. Ya. Glozman

We present results for the propagators and the ghost-gluon vertex of Landau gauge Yang-Mills theory obtained from Dyson-Schwinger equations. Solving these three quantities simultaneously constitutes a new step in truncating these equations.…

High Energy Physics - Theory · Physics 2013-01-15 Markus Q. Huber , 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…

High Energy Physics - Phenomenology · Physics 2009-10-30 Lorenz von Smekal , Andreas Hauck , Reinhard Alkofer

We compute gluon and quark propagators in 2-colour QCD at large baryon chemical potential mu. The gluon propagator is found to be antiscreened in the superfluid, confined phase and screened in the large-mu, deconfined phase. We present the…

High Energy Physics - Lattice · Physics 2014-11-20 Jon-Ivar Skullerud

We formulate a dressed perturbative expansion of QCD, where the standard diagrams are evaluated in the presence of a constant external gluon field whose magnitude is gaussian distributed. The approach is Poincar{\'e} and gauge invariant,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Paul Hoyer , Stephane Peigne

It is shown how the axial vector current of current quarks is related to that of constituent quarks within the framework of the global color symmetry model. Gluon dressing of the axial vector vertex and the quark self-energy functions is…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hong-shi Zong , Xiang-song Chen , Fan Wang , Chao-hsi Chang , En-guang Zhao

We compute quark and gluon propagators in 2-colour QCD at large baryon chemical potential mu. The gluon propagator is found to be antiscreened at intermediate mu and screened at large mu. The quark propagator is drastically modified in the…

High Energy Physics - Lattice · Physics 2009-11-13 Jon-Ivar Skullerud

We present preliminary results on the longitudinal $and$ transverse form factors of the quark-gluon vertex as functions of the incoming and outgoing quark momenta and an angle $\theta =2\pi/3$ between them. The expressions for these form…

High Energy Physics - Phenomenology · Physics 2022-01-13 Bruno El-Bennich , Fernando E. Serna , Roberto Correa da Silveira , Luis Albino , Adnan Bashir , Eduardo Rojas

We investigate the impact of unquenching effects on QCD Green's functions, in the form of quark-loop contributions to both the gluon propagator and three-gluon vertex, in a three-loop inspired truncation of the three-particle irreducible…

High Energy Physics - Phenomenology · Physics 2016-02-24 Richard Williams , Christian S. Fischer , Walter Heupel

We propose a practical procedure to extrapolate the space-like quark propagator onto the complex plane, which follows the Schlessinger Point Method and the spectral representation of the propagator. As a feasible example, we employ quark…

Nuclear Theory · Physics 2021-02-17 Zehao Zhu , Khépani Raya , Lei Chang

We propose a chemical potential dependent effective gluon propagator and study the chiral quark condensate in strongly interacting matter in the framework of Dyson-Schwinger equation approach. The obtained results manifest that, as the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Lei Chang , Huan Chen , Bin Wang , Wei Yuan , Yu-xin Liu

In this article we study the general structure and special properties of the Schwinger-Dyson equation for the gluon propagator constructed with the pinch technique, together with the question of how to obtain infrared finite solutions,…

High Energy Physics - Phenomenology · Physics 2009-11-11 Arlene C. Aguilar , Joannis Papavassiliou

A closed system of equations for the propagators of Landau gauge QCD is obtained in a truncation scheme for their Dyson-Schwinger equations which implements the Slavnov-Taylor identities for the 3-point vertex functions while neglecting…

High Energy Physics - Phenomenology · Physics 2007-05-23 Reinhard Alkofer , Steven Ahlig , Lorenz von Smekal

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

The gluon propagator is investigated in Landau and in maximal center gauge for the gauge group SU(2) by means of lattice gauge simulations. We find that Gribov ambiguities arising from the implementation of Landau gauge have a small…

High Energy Physics - Phenomenology · Physics 2009-11-07 K. Langfeld , H. Reinhardt , J. Gattnar
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