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Related papers: Comparing SU(2) to SU(3) gluodynamics on large lat…

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We show that the low-momentum behavior of the lattice Landau-gauge gluon and ghost propagators is sensitive to the lowest non-trivial eigenvalue (\lambda_1) of the Faddeev-Popov operator. If the gauge fixing favors Gribov copies with small…

High Energy Physics - Lattice · Physics 2013-09-30 Andre Sternbeck , Michael Müller-Preussker

Landau gauge longitudinal and transverse gluon propagators are studied in lattice QCD with gauge group $SU(2)$ at varying temperature and quark density. In particular, it is found that the longitudinal propagator decreases with increasing…

High Energy Physics - Lattice · Physics 2021-02-17 V. G. Bornyakov , R. N. Rogalyov

We use the results of recent lattice calculations to obtain (part of) the mass spectrum of continuum SU(2) gauge theory in both 2+1 and 3+1 dimensions. We compare these spectra to the predictions of the Isgur-Paton flux tube model for…

High Energy Physics - Lattice · Physics 2009-09-25 T. Moretto , M. Teper

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

By considering the example of $SU(2)$ gluodynamics, we check numerically the idea that the strong correlation of the Polyakov loop with the longitudinal gluon propagator and related quantities can be used to substantially reduce the…

High Energy Physics - Lattice · Physics 2023-01-18 R. N. Rogalyov , V. G. Bornyakov , N. V. Gerasimeniuk , E. A. Kozlovsky , V. K. Mitrjushkin

We study the bottomonium spectrum using a potential model. Our potential incorporates lattice results for the gluon propagator, obtained from simulations of pure SU(2) gauge theory in Landau gauge. The mass of the bottom quark is left as a…

High Energy Physics - Lattice · Physics 2014-04-30 Willian M. Serenone , Attilio Cucchieri , Tereza Mendes

The propagators of the elementary degrees of freedom of (minimal-)Landau-gauge Yang-Mills theory have been a useful tool in various investigations. However, in lattice calculations they show severe dependencies on lattice artifacts. This…

High Energy Physics - Lattice · Physics 2015-02-06 Axel Maas

Lattice gluon propagators are studied using tadpole and Symanzik improved gauge action in Landau gauge. The study is performed using anisotropic lattices with asymmetric volumes. The Landau gauge dressing function for the gluon propagator…

High Energy Physics - Lattice · Physics 2009-11-19 M. Gong , Y. Chen , G. Meng , C. Liu

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

The infrared behavior of the gluon propagator is directly related to confinement in QCD. Indeed, the Gribov-Zwanziger scenario of confinement predicts an infrared vanishing (transverse) gluon propagator in Landau-like gauges, implying…

High Energy Physics - Lattice · Physics 2008-11-26 Attilio Cucchieri , Axel Maas , Tereza Mendes

The Laplacian gauge is a nonperturbative gauge fixing that reduces to Landau gauge in the asymptotic limit. Like Landau gauge, it respects Lorentz invariance, but it is free of Gribov copies; the gauge fixing is unambiguous. In this paper…

High Energy Physics - Lattice · Physics 2010-03-04 P. O. Bowman , U. M. Heller , D. B. Leinweber , A. G. Williams

We study SU(3) gluon electric and magnetic masses at finite temperatures using quenched lattice QCD on a $20^2 \times 32 \times 6$ lattice. We focus on temperature regions between $T=T_c$ and $6T_c$, which are realized in BNL Relativistic…

High Energy Physics - Lattice · Physics 2009-11-10 A. Nakamura , T. Saito , S. Sakai

We investigate the Dyson-Schwinger equations for the gluon and ghost propagators and the ghost-gluon vertex of Landau-gauge gluodynamics in two dimensions. While this simplifies some aspects of the calculations as compared to three and four…

High Energy Physics - Theory · Physics 2012-11-20 Markus Q. Huber , Axel Maas , Lorenz von Smekal

It is a long-standing question whether the confinement of matter fields in QCD has an imprint in the (gauge-dependent) correlation functions, especially the propagators. As the analytic structure plays an important role in this question,…

High Energy Physics - Lattice · Physics 2016-07-08 Axel Maas

It is a long-standing question whether the confinement of matter fields in QCD has an imprint in the (gauge-dependent) correlation functions, especially the propagators. In particular in the quenched case a fundamental difference could be…

High Energy Physics - Lattice · Physics 2019-03-28 Axel Maas

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

We review the status of lattice simulations of gluon and ghost propagators in Landau gauge, testing predictions of the Gribov-Zwanziger confinement scenario.

High Energy Physics - Lattice · Physics 2010-01-18 Attilio Cucchieri , Tereza Mendes

We study the UV-scaling of the flavorless gluon propagator in the Landau gauge in an energy window up to 9 GeV. Dominant hypercubic lattice artifacts are eliminated. A large set of renormalization schemes is used to test asymptotic scaling.…

High Energy Physics - Lattice · Physics 2015-06-25 D. Becirevic , Ph. Boucaud , J. P. Leroy , J. Micheli , O. Pene , J. Rodriguez-Quintero , C. Roiesnel

We report on the progress we made in studying the infrared behavior of the ghost and gluon dressing functions in Landau gauge. Related to this we also investigate a running coupling given in terms of those functions and compare our results…

High Energy Physics - Lattice · Physics 2010-12-13 A. Sternbeck , E. -M. Ilgenfritz , M. Mueller-Preussker , A. Schiller

We propose a mechanism displaying gluon confinement, as defined by the behavior of the propagators, in a model of SU(2) gauge fields. The model originates from an explicitly broken SU(3) gauge theory giving rise to a replica model composed…

High Energy Physics - Theory · Physics 2013-12-12 M. M. Amaral , M. A. L. Capri , Y. E. Chifarelli , V. E. R. Lemes