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Related papers: Dynamical Mass Generation in Landau gauge QCD

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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 properties of the momentum space quark propagator in Landau gauge are examined for the overlap quark action in quenched lattice QCD. Numerical calculations are done on three lattices with different lattice spacings and similar physical…

High Energy Physics - Lattice · Physics 2010-03-04 J. B. Zhang , Frederic D. R. Bonnet , Patrick O. Bowman , Derek B. Leinweber , Anthony G. Williams

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

The infrared behavior of the quark propagator is studied at one loop and in the Landau gauge ($\xi=0$) using the screened massive expansion of full QCD and three different resummation schemes for the quark self-energy. The shift of the…

High Energy Physics - Theory · Physics 2021-10-20 Giorgio Comitini , Daniele Rizzo , Massimiliano Battello , Fabio Siringo

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

The gluon propagator in the Landau gauge is calculated in quenched QCD on a large lattice (32^3x64) at beta=6.0. In order to assess finite volume and finite lattice spacing artefacts, we also calculate the propagator on a smaller volume for…

High Energy Physics - Lattice · Physics 2007-05-23 D. B. Leinweber , J. I. Skullerud , A. G. Williams

The gluon propagator is one of the fundamental Green's functions of QCD. It is an essential ingredient in, for example, the modeling of the Schwinger-Dyson equation used to describe hadronic phenomenology. From the Landau gauge gluon…

High Energy Physics - Phenomenology · Physics 2011-09-20 Orlando Oliveira , P. Bicudo , D. Dudal , T. Frederico , W. de Paula , N. Vandersickel

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

There is strong evidence supporting center vortices as underpinning confinement and dynamical chiral symmetry breaking -- the two key features of nonperturbative QCD. In our recent letter [ arXiv:2305.18690 ] we find that dynamical mass…

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

The Kugo-Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators in Landau gauge QCD are reviewed. The realization of this confinement criterion (which in Landau gauge relates to Zwanziger's…

High Energy Physics - Phenomenology · Physics 2017-08-23 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

We report on recent numerical computations of the Landau gauge gluon and ghost propagators as well as of the ghost-gluon vertex function in pure SU(3) Yang-Mills theory and in full QCD on the lattice. Special emphasis is paid to the low…

High Energy Physics - Lattice · Physics 2010-11-15 E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck , A. Schiller , I. L. Bogolubsky

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,…

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

We study the ultraviolet behaviour of the ghost and gluon propagators in quenched QCD using lattice simulations. Extrapolation of the lattice data towards the continuum allows to use perturbation theory to extract $\Lambda_{\text{QCD}}$ -…

High Energy Physics - Lattice · Physics 2007-05-23 A. Y. Lokhov , C. Roiesnel

We compute the quark-gluon vertex in quenched lattice QCD, in the Landau gauge using an off-shell mean-field O(a)-improved fermion action. The Dirac-vector part of the vertex is computed for arbitrary kinematics. We find a substantial…

High Energy Physics - Lattice · Physics 2008-11-26 Ayse Kizilersu , Derek B. Leinweber , Jon-Ivar Skullerud , Anthony G. Williams

Nonperturbative infrared finite solutions for the gluon polarization tensor have been found, and the possibility that gluons may have a dynamically generated mass is supported by recent Monte Carlo simulation on the lattice. These solutions…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. C. Montero , A. A. Natale , P. S. Rodrigues da Silva

Non-perturbative properties of QCD, such as color confinement, are encoded in the infrared behavior of correlation functions, e.g. propagators and vertices. Various analytic predictions have been suggested for these quantities in various…

High Energy Physics - Lattice · Physics 2010-11-15 Axel Maas , Attilio Cucchieri , Tereza Mendes

We present data for the gluon and quark propagators computed in the standard lattice Landau's gauge and for three values of the covariant gauge-fixing parameter lambda=0,8,16. Our results are obtained using the SU(3) Wilson action in the…

High Energy Physics - Lattice · Physics 2015-06-25 L. Giusti , M. L. Paciello , S. Petrarca , B. Taglienti , N. Tantalo

We determine several quantities in quenched lattice QCD with exact chiral symmetry. For 100 gauge configurations generated with Wilson gauge action at $ \beta = 6.0 $ on the $ 16^3 \times 32 $ lattice, we compute quenched quark propagators…

High Energy Physics - Lattice · Physics 2008-11-26 Ting-Wai Chiu , Tung-Han Hsieh

We study the non-perturbative behavior of two versions of the QCD effective charge, one obtained from the pinch technique gluon self-energy, and one from the ghost-gluon vertex. Despite their distinct theoretical origin, due to a…

High Energy Physics - Phenomenology · Physics 2009-10-29 A. C. Aguilar , D. Binosi , J. Papavassiliou , J. Rodriguez-Quintero

Based on a suitable basis system for the quark-gluon vertex' transverse tensor structures and on carefully chosen kinematical variables, the transverse part of the quark-gluon vertex in quenched QCD in the Landau gauge is obtained from a…

High Energy Physics - Phenomenology · Physics 2026-04-23 Georg Wieland , Reinhard Alkofer