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Related papers: Gluon mass and freezing of the QCD coupling

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The gauge invariant generation of an effective gluon mass proceeds through the well-known Schwinger mechanism, whose key dynamical ingredient is the nonperturbative formation of longitudinally coupled massless bound-state excitations. These…

High Energy Physics - Phenomenology · Physics 2015-05-30 A. C. Aguilar , D. Ibáñez , V. Mathieu , J. Papavassiliou

A longstanding question in QCD is the origin of the mass gap in the Yang-Mills sector of QCD, i.e., QCD without quarks. In Landau gauge QCD this mass gap, and hence confinement, is encoded in a mass gap of the gluon propagator, which is…

High Energy Physics - Phenomenology · Physics 2021-12-22 Gernot Eichmann , Jan M. Pawlowski , João M. Silva

We establish a novel method of obtaining the gauge-invariant bilocal condensate of gluon fields from the solutions of the Dyson--Schwinger equations (DSE) which works in the infrared and ultraviolet limits. We present explicit results for…

High Energy Physics - Phenomenology · Physics 2008-12-19 A. V. Zayakin , J. Rafelski

The infrared behavior of propagators and vertices is derived for the maximally Abelian gauge and the Gribov-Zwanziger action relying on functional equations. The derivation and analysis of Dyson-Schwinger equations increase considerably in…

High Energy Physics - Theory · Physics 2015-03-17 Markus Q. Huber

In the past years a good comprehension of the infrared gluon propagator has been achieved, with a good qualitative agreement between lattice results and Dyson-Schwinger equations. However, lattice simulations have been performed at physical…

High Energy Physics - Lattice · Physics 2012-10-31 O. Oliveira , P. J. Silva

We investigate different aspects of lattice QCD in Landau gauge using Monte Carlo simulations. In particular, we focus on the low momentum behavior of gluon and ghost propagators. The gauge group is SU(3). Different systematic effects on…

High Energy Physics - Lattice · Physics 2007-05-23 Andre Sternbeck

We present a strong coupling expansion that permits to develop analysis of quantum field theory in the infrared limit. Application to a quartic massless scalar field gives a massive spectrum and the propagator in this regime. We extend the…

High Energy Physics - Phenomenology · Physics 2009-03-17 Marco Frasca

The infrared properties of QED are investigated within the framework of the Dyson-Schwinger equations. Our study finds that, independently of the value of the coupling constant, requiring the photon self-energy to be finite for any momenta,…

High Energy Physics - Phenomenology · Physics 2025-11-05 Orlando Oliveira

Using lattice results for the Landau gauge gluon propagator at finite temperature, we investigate its interpretation as a massive type bosonic propagator. In particular, we estimate a gluon mass from Yukawa-like fits to the lattice data and…

High Energy Physics - Lattice · Physics 2014-01-27 Pedro Bicudo , Orlando Oliveira , Paulo Silva , Nuno Cardoso

The gluon propagator is calculated in the instanton background in a form appropriate for extracting the momentum dependent gluon mass. In background-$\xi$-gauge we get for the mass $400$MeV for small $p^2$ independent of the gauge parameter…

High Energy Physics - Phenomenology · Physics 2016-09-01 Marcus Hutter

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…

High Energy Physics - Phenomenology · Physics 2009-10-31 L. S. Kisslinger , M. Aw , A. Harey , O. Linsuain

The physical meaning of a mass gap introduced by Jaffe and Witten is to be responsible for the large-scale (low-energy/momentum), i.e., the non-perturbative structure of the true QCD vacuum. In order to make the existence of a mass gap…

High Energy Physics - Phenomenology · Physics 2008-03-05 V. Gogokhia

The propagator of confined quarks is calculated for timelike momenta by transforming Minkowski Greens functions to the Temporal Euclidean space. Based on the framework of the Schwinger-Dyson equations the QCD quark propagator is obtained in…

High Energy Physics - Phenomenology · Physics 2009-02-26 V. Sauli

In quantum chromodynamics (QCD), the vacuum structures are taken to be formed by nonperturbative interactions between gluons. The contributions of gluonic interactions can be parametrized by gluon condensates and especially the dimension-2…

High Energy Physics - Theory · Physics 2015-04-02 Su Kyeong Lee , Eun-Joo Kim , Jong Bum Choi

Using lattice quantum chromodynamics (QCD) we perform an unquenched calculation of the gluon propagator in Landau gauge. We use configurations generated with the AsqTad quark action by the MILC collaboration for the dynamical quarks and…

High Energy Physics - Lattice · Physics 2008-11-26 Patrick O. Bowman , Urs M. Heller , Derek B. Leinweber , Maria B. Parappilly , Anthony G. Williams

We convincingly argue that the true dynamical and gauge structures of the QCD ground state are much more complicated than its Lagrangian exact gauge symmetry supposes to be. The dynamical source of these complications has been identified…

High Energy Physics - Phenomenology · Physics 2021-05-11 Gergely Gábor Barnaföldi , Vakhtang Gogokhia

Using the Dyson-Schwinger approach we investigate Landau gauge QCD with a relatively large number of chiral quark flavours. A self-consistent treatment on the propagator level enables us to study unquenching effects via the quark loop…

High Energy Physics - Phenomenology · Physics 2014-05-29 Markus Hopfer , Christian S. Fischer , Reinhard Alkofer

In a functional approach to QCD the infrared behaviour of Landau gauge Green functions is investigated. Positivity violation for, and thus confinement of, gluons is demonstrated, and the analytic structure of the gluon propagator is…

High Energy Physics - Phenomenology · Physics 2009-06-25 Reinhard Alkofer , Christian S. Fischer , Markus Q. Huber , Felipe J. Llanes-Estrada , Kai Schwenzer

We present approximate solutions for the gluon and ghost propagators as well as the running coupling in Landau gauge Yang-Mills theories. We solve the corresponding Dyson-Schwinger equations in flat Euclidean space-time without any angular…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. S. Fischer , R. Alkofer

Continuum and lattice analyses have revealed the existence of a mass-scale in the gluon two-point Schwinger function. It has long been conjectured that this expresses the action of a Schwinger mechanism for gauge boson mass generation in…

High Energy Physics - Phenomenology · Physics 2023-05-03 A. C. Aguilar , F. De Soto , M. N. Ferreira , J. Papavassiliou , F. Pinto-Gómez , C. D. Roberts , J. Rodríguez-Quintero