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Related papers: Dynamical Mass Generation in Landau gauge QCD

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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…

High Energy Physics - Phenomenology · Physics 2014-04-02 Adrian L. Blum , Markus Q. Huber , Mario Mitter , Lorenz von Smekal

Recently the quark-gluon vertex has been investigated in Landau gauge using a combined Dyson-Schwinger and nPI effective action approach. We present here a numerical analysis of a simpler system where the quarks have been replaced by…

High Energy Physics - Phenomenology · Physics 2013-04-17 Markus Hopfer , Reinhard Alkofer

A solvable systematic truncation scheme for the Dyson-Schwinger equations of Euclidean QCD in Landau gauge is presented. It implements the Slavnov-Taylor identities for the three-gluon and ghost-gluon vertices, whereas irreducible…

High Energy Physics - Phenomenology · Physics 2009-07-09 Lorenz von Smekal , Andreas Hauck , Reinhard Alkofer

We study the non-perturbative phenomena of Dynamical Mass Generation and Confinement by truncating at the non-perturbative level the Schwinger-Dyson equations in Maxwell-Chern-Simons planar quantum electrodynamics. We obtain numerical…

High Energy Physics - Phenomenology · Physics 2015-03-19 Saúl Sánchez Madrigal , Christoph P. Hofmann , Alfredo Raya

We discuss a non-perturbative lattice calculation of the ghost and gluon propagators in the pure Yang-Mills theory in Landau gauge. The ultraviolet behaviour is checked up to NNNLO yielding the value…

High Energy Physics - Lattice · Physics 2007-05-23 A. Y. Lokhov , Ph. Boucaud , J. P. Leroy , A. Le Yaouanc , J. Micheli , O. Pène , J. Rodríguez-Quintero , C. Roiesnel

The interpretation of the Landau gauge lattice gluon propagator as a massive type bosonic propagator is investigated. Three different scenarios are discussed: i) an infrared constant gluon mass; ii) an ultraviolet constant gluon mass; iii)…

High Energy Physics - Lattice · Physics 2015-03-13 O. Oliveira , P. Bicudo

The properties of the quark propagator in Landau gauge in quenched QCD are examined for the overlap quark action. The overlap quark action satisfies the Ginsparg-Wilson relation and as such provides an exact lattice realization of chiral…

High Energy Physics - Lattice · Physics 2016-08-16 Frédéric D. R. Bonnet , Patrick O. Bowman , Derek B. Leinweber , Anthony G. Williams , J. B. Zhang

We study a manifestly gauge invariant set of Schwinger-Dyson equations to determine the nonperturbative dynamics of the gluon and ghost propagators in $d=3$ Yang-Mills. The use of the well-known Schwinger mechanism, in the Landau gauge,…

High Energy Physics - Phenomenology · Physics 2011-02-28 A. C. Aguilar , D. Binosi , J. Papavassiliou

We discuss the pure gauge Schwinger-Dyson equation for the gluon propagator in the Landau gauge within an approximation proposed by Mandelstam many years ago. We show that a dynamical gluon mass arises as a solution. This solution is…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. C. Aguilar , A. A. Natale

We summarize the higher-loop perturbative computation of the ghost and gluon propagators in SU(3) Lattice Gauge Theory. Our final aim is to compare with results from lattice simulations in order to expose the genuinely non-perturbative…

High Energy Physics - Lattice · Physics 2015-05-20 F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller , C. Torrero

The Landau gauge Schwinger-Dyson Equation for the quark self-energy is solved in the quenched ladder approximation for several cases of one- and two-quark-generations. The exchanges of Standard Model gluons and Higgs bosons are taken into…

High Energy Physics - Phenomenology · Physics 2011-07-19 Lesley L. Smith , Pankaj Jain , Douglas W. McKay

Solutions for the three-gluon and quark-gluon vertices from Dyson-Schwinger equations and the three-particle irreducible formalism are discussed. Dynamical quarks (``unquenching'') change the three-gluon vertex via the quark-triangle…

High Energy Physics - Phenomenology · Physics 2017-04-05 Adrian L. Blum , Reinhard Alkofer , Markus Q. Huber , Andreas Windisch

Lattice simulations of the QCD correlation functions in the Landau gauge have established two remarkable facts. First, the coupling constant in the gauge sector remains finite and moderate at all scales, suggesting that some kind of…

High Energy Physics - Theory · Physics 2021-12-22 Marcela Peláez , Urko Reinosa , Julien Serreau , Matthieu Tissier , Nicolás Wschebor

We investigate the dressed quark-gluon vertex combining two established non-perturbative approaches to QCD: the Dyson-Schwinger equation (DSE) for the quark propagator and lattice-regularized simulations for the quark, gluon and ghost…

High Energy Physics - Phenomenology · Physics 2015-06-16 E. Rojas , J. P. B. C. de Melo , B. El-Bennich , O. Oliveira , T. Frederico

We compute non-perturbatively the average up-down and strange quark masses from the large momentum (short-distance) behaviour of the quark propagator in the Landau gauge. This method, which has never been applied so far, does not require…

High Energy Physics - Lattice · Physics 2009-10-31 Damir Becirevic , Vicente Gimenez , Vittorio Lubicz , Guido Martinelli

We present a current summary of a program to study the quark propagator using lattice QCD. We use the Overlap and ``Asqtad'' quark actions on a number of lattice ensembles to assess systematic errors. We comment on the place of this work…

High Energy Physics - Lattice · Physics 2010-03-04 Patrick O. Bowman , Urs M. Heller , Derek B. Leinweber , Anthony G. Williams , Jianbo Zhang

The properties of the momentum space quark propagator in Landau gauge and Gribov copy free Laplacian gauge are studied for the overlap quark action in quenched lattice QCD. Numerical calculations are done on two lattices with different…

High Energy Physics - Lattice · Physics 2010-03-04 J. B. Zhang , Patrick O. Bowman , Ryan J. Coad , Urs M. Heller , Derek B. Leinweber , Anthony G. Williams

The first calculation of the response of the momentum space quark propagator to center vortices in the ground state fields of QCD is presented. Center vortices are identified on 2+1-flavour dynamical gauge fields with $m_\pi \simeq 156$ MeV…

High Energy Physics - Lattice · Physics 2024-10-11 Waseem Kamleh , Derek B. Leinweber , Adam Virgili

Infrared features of the ghost propagator of color diagonal and color antisymmetric ghost propagator of quenched SU(2) and quenched SU(3) are compared with those of unquenched Kogut-Susskind fermion SU(3) lattice Landau gauge. We compare 1)…

High Energy Physics - Lattice · Physics 2009-11-11 Sadataka Furui , Hideo Nakajima

The calculation of the Landau gauge gluon propagator performed in Coimbra using lattice QCD simulations is reviewed. Particular attention is given to the behavior of the gluon propagator in the infrared region and the value of $D(0)$. In…

High Energy Physics - Lattice · Physics 2015-03-18 O. Oliveira , P. J. Silva , P. Bicudo
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