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Related papers: Confinement, the gluon propagator and the interqua…

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We begin with the discussion of the relationship between the trace of the energy momentum tensor and the gluon condensate at finite temperatures. Using the recent numerical data from the simulations of lattice gauge theory for quantum…

High Energy Physics - Phenomenology · Physics 2011-04-15 David E. Miller

We consider the effects of the Faddeev-Popov determinant in the Coulomb gauge on the confinement properties of the QCD vacuum. We show that the the determinant is needed to regularize the otherwise divergent functional integrals near the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Adam P. Szczepaniak

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

We perform a calculation of the full momentum dependence of the gluon and ghost propagators in pure SU(3) Yang-Mills theory by integrating Wilson's exact renormalization group equations with respect to an infrared cutoff k. The heavy quark…

High Energy Physics - Phenomenology · Physics 2011-09-13 Ulrich Ellwanger , Manfred Hirsch , Axel Weber

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

We present analytical methods for investigating the interaction of two heavy quarks in QCD_3 using the effective action approach. Our findings result in explicit expressions for the static potentials in QCD_3 for long and short distances.…

High Energy Physics - Theory · Physics 2009-10-30 Walter Dittrich , Holger Gies

The static potentials for quark-antiquark-gluon and 3-gluon systems are computed with lattice QCD methods. For the quark-antiquark-gluon hybrid meson the static potential is obtained for different values of the angle between the quark-gluon…

High Energy Physics - Lattice · Physics 2009-05-27 Marco Cardoso , Pedro Bicudo , Orlando Oliveira

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

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

Non-perturbative methods of effective field theory such like Lattice QCD have allowed to establish connection between the QCD Lagrangian and quark potential models, a prominent outcome being the Cornell (linear plus Coulomb) potential. In…

Nuclear Theory · Physics 2008-10-30 M. Kirchbach , C. Compean

Cornell potential is known to represent the quark-antiquark confinement interaction. In addition to the Cornell potential, there have been other interactions in the literature that demonstrate confining structure in the quark-antiquark…

General Relativity and Quantum Cosmology · Physics 2023-05-26 S. Habib Mazharimousavi

We summarise recent results on the properties of gluons, quarks and light mesons from the Green's functions approach to QCD. We discuss a self-consistent, infrared power law solution for the Schwinger-Dyson equations of the 1PI-Greens…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian S. Fischer , Reinhard Alkofer , Wolfgang Cassing , Felipe Llanes-Estrada , Peter Watson

The infrared behaviour of the gluon and ghost propagators in Landau gauge QCD is reviewed. The Kugo-Ojima confinement criterion and the Gribov-Zwanziger horizon condition result from quite general properties of the ghost Dyson-Schwinger…

High Energy Physics - Phenomenology · Physics 2007-05-23 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

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

We study confinement property of pure SU(3) gauge theory, combining in this effort the non-perturbative gluon and ghost propagators obtained as solutions of Dyson--Schwinger equations with solutions of an integral ladder diagram summation…

High Energy Physics - Phenomenology · Physics 2009-09-02 A. V. Zayakin , J. Rafelski

The existence of genuine complex conjugated poles in the gluon propagator is discussed and related to confinement, string tension and condensates. The existence of the anomalous poles leads to an untrivial analytic continuation from…

High Energy Physics - Theory · Physics 2024-12-25 Fabio Siringo , Giorgio Comitini

Confinement in Quantum Chromodynamics (QCD), binding quarks and gluons into hadrons, is characterized by a linear potential and the Wilson loop area law. We develop an analytical framework in $\text{SU(3)}$ gauge theory, proposing a hybrid…

High Energy Physics - Theory · Physics 2025-07-16 Fidele J. Twagirayezu

The operator-product expansion(OPE) could be employed to obtain the lowest-order, nonlocal quark scalar condensate component of gluon vacuum polarization. In particular, nonlocal quark scalar condensate can be calculated by solving…

High Energy Physics - Phenomenology · Physics 2022-06-15 Jing-Hui Huang , Xue-Ying Duan , Chen Huan , Guang-Jun Wang , Xiang-Yun Hu

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

The gluon and quark condensates and their temperature dependence are investigated within QCD premises. The input for the former is a gauge invariant $gg$ kernel made up of the direct (D), exchange (X) and contact(C) QCD interactions in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. N. Mitra , W-Y. P. Hwang