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Related papers: Dynamical Mass Generation in Landau gauge QCD

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The properties of the momentum space quark propagator in Landau gauge are examined for the overlap quark action in quenched lattice QCD. Numerical calculations were done on two lattices with different lattice spacing $a$ and similar…

High Energy Physics - Lattice · Physics 2010-03-04 J. B. Zhang , F. D. R. Bonnet , P. O. Bowman , D. B. Leinweber , A. G. Williams

The transverse and longitudinal gluon propagators in the Landau gauge are studied in the two-color lattice QCD at nonzero quark chemical potential $\mu_q$. Parameterization of the momentum dependence of the propagators is provided for all…

High Energy Physics - Lattice · Physics 2021-01-04 V. G. Bornyakov , V. V. Braguta , A. A. Nikolaev , R. N. Rogalyov

We study the gluon propagator in the Landau gauge in SU(3) lattice QCD at $\beta$=5.7, 5.8 and 6.0 at the quenched level. The Euclidean Landau-gauge gluon propagator $D(r)\equiv D_{\mu\mu}^{aa}(x)/24$ is found to be well described by…

High Energy Physics - Lattice · Physics 2011-03-31 Hideo Suganuma , Takumi Iritani , Arata Yamamoto , Hideaki Iida

The effective coupling of QCD is measured by using the gauge configurations produced by the MILC collaboration in which the Kogut Susskind (KS) fermion is incorporated and by using that produced by the QCDOC collaboration in which the…

High Energy Physics - Lattice · Physics 2008-11-26 Sadataka Furui , Hideo Nakajima

In the d=3 gluon mass problem in pure-glue non-Abelian $SU(N)$ gauge theory we pay particular attention to the observed (in Landau gauge) violation of positivity for the spectral function of the gluon propagator. This causes a large bulge…

High Energy Physics - Phenomenology · Physics 2016-02-03 John M. Cornwall

In this work, we report about the determination of nonperturbative OPE parameters from fits of continuum perturbation theory to the Landau gauge quark propagator. The propagators are computed numerically using lattice QCD with Nf=2…

High Energy Physics - Lattice · Physics 2013-06-03 Florian Burger , Vittorio Lubicz , Michael Müller-Preussker , Silvano Simula , Carsten Urbach

We exploit the recent lattice results for the infrared gluon propagator with light dynamical quarks and solve the gap equation for the quark propagator. Chiral symmetry breaking and confinement (intimately tied with the analytic properties…

High Energy Physics - Phenomenology · Physics 2014-01-08 A. Bashir , A. Raya , J. Rodríguez-Quintero

We propose to calculate the gluon condensate in lattice QCD in an indirect way by extracting it from the correlator of hadronic currents of heavy quarks. Moments (derivatives with respect to momentum at vanishing momentum) of the vector and…

High Energy Physics - Lattice · Physics 2009-10-28 Alexander Bochkarev

The Green's functions of QCD encode important information about the infrared dynamics of the theory. The main non-perturbative tools used to study them are their own equations of motion, known as Schwinger-Dyson equations, and large-volume…

High Energy Physics - Phenomenology · Physics 2014-11-20 Joannis Papavassiliou

The important role of centre vortices in dynamical chiral symmetry breaking and corresponding dynamical mass generation has been demonstrated in pure gauge studies of the Landau-gauge quark propagator. We present initial results of our…

High Energy Physics - Lattice · Physics 2022-04-15 Adam Virgili , Waseem Kamleh , Derek Leinweber

We report on a study of the analytical structure of the Landau gauge gluon, ghost and quark propagators taken from lattice simulations using large physical volumes, to better access the IR region, and large gauge ensembles to reduce the…

High Energy Physics - Lattice · Physics 2021-11-09 Orlando Oliveira , Alexandre F. Falcão , Paulo J. Silva

We investigate Landau gauge $SU(3)$ Yang-Mills theory in a systematic vertex expansion scheme for the effective action with the functional renormalisation group. Particular focus is put on the dynamical creation of the gluon mass gap at…

High Energy Physics - Phenomenology · Physics 2016-09-12 Anton K. Cyrol , Leonard Fister , Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

We propose to realize a mass gap in QCD by not imposing the transversality condition on the full gluon self-energy, while preserving the color gauge invariance condition for the full gluon propagator. This is justified by the nonlinear and…

High Energy Physics - Theory · Physics 2007-05-23 V. Gogokhia

We study the Dyson-Schwinger equation for the quark propagator in Minkowski space. In order to have analytical behaviour at the timelike axis of momenta under control, we use the Stieltjes and the Hilbert transformation for the interaction…

High Energy Physics - Phenomenology · Physics 2014-04-02 Vladimir Sauli

We present a practical method for the solution of the quark-gluon vertex for use in Bethe--Salpeter and Dyson--Schwinger calculations. The efficient decomposition into the necessary covariants is detailed, with the numerical algorithm…

High Energy Physics - Phenomenology · Physics 2015-06-11 Richard Williams

The compatibility of the pure power law infrared solution of QCD Dyson-Schwinger equations (DSE) and lattice data for the gluon and ghost propagators in Landau gauge is discussed. For the gluon propagator, the lattice data is compatible…

High Energy Physics - Lattice · Physics 2009-04-14 O. Oliveira , P. J. Silva

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

We summarize recent results on the nonperturbative quark-gluon interaction in Landau gauge QCD. Our analytical analysis of the infrared behaviour of the quark-gluon vertex reveals infrared singularities, which lead to an infrared divergent…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian S. Fischer , Reinhard Alkofer , Felipe J. Llanes-Estrada , Kai Schwenzer

We construct a model for the quark-gluon vertex of Landau gauge QCD. This is of twofold interest: on the one hand the quark-gluon interaction is at the heart of quark confinement, on the other hand it is a central element in hadron…

High Energy Physics - Phenomenology · Physics 2007-05-23 Felipe J. Llanes-Estrada , Christian S. Fischer , Reinhard Alkofer

The behavior of the Landau gauge gluon and ghost propagators is studied in pure SU(3) gauge theory at non-zero temperature on the lattice. We concentrate on the momentum range [0.6, 2.0] GeV. For the longitudinal as well as for the…

High Energy Physics - Lattice · Physics 2012-02-14 R. Aouane , V. Bornyakov , E. -M. Ilgenfritz , V. Mitrjushkin , M. Müller-Preussker , A. Sternbeck