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Lattice tensor representations are used to investigate the lattice Landau gauge gluon propagator for the 4-dimensional pure SU(3) Yang-Mills gauge theory. Due to the different symmetry structure of hypercubic lattices compared to the…

High Energy Physics - Lattice · Physics 2021-12-01 Guilherme Catumba , Orlando Oliveira , Paulo J. Silva

We study the flavorless gluon propagator in the Landau gauge from high statistics lattice calculations. Hypercubic artifacts are efficiently eliminated by taking the $\sum p_\mu^4 \to 0$ limit. The propagator is fitted to the three-loops…

High Energy Physics - Phenomenology · Physics 2010-03-19 D. Becirevic , Ph. Boucaud , J. P. Leroy , J. Micheli , O. Pene , J. Rodriguez-Quintero , C. Roiesnel

We investigate the phase structures of theories which differ from QCD only in the gauge group and can be simulated on the lattice at non-vanishing chemical potential $\mu$. These theories can thus serve as testing ground for functional…

High Energy Physics - Phenomenology · Physics 2017-09-12 Romain Contant , Markus Q. Huber

The distribution of gluon fields in hadrons is of fundamental interest in QCD. Using lattice QCD we have observed the formation of gluon flux tubes within tri-quark (baryon) systems for a wide variety of spatial distributions of the color…

High Energy Physics - Lattice · Physics 2008-06-05 A. I. Signal , F. R. P. Bissey , D. B. Leinweber

We give preliminary numerical results for the gluon propagator evaluated both in coordinate and momentum space on a 16^3X40 quenched lattice at beta=6.0. Our findings are compared with earlier results in the literature at zero momentum. In…

High Energy Physics - Lattice · Physics 2009-10-22 C. Bernard , C. Parrinello , A. Soni

We study numerically the chromoelectric-chromomagnetic asymmetry of the dimension two $A^2$ gluon condensate as well as the infrared behavior of the gluon propagators at $T\simeq T_c$ in the Landau-gauge $SU(3)$ lattice gauge theory. We…

High Energy Physics - Lattice · Physics 2021-10-13 V. G. Bornyakov , V. A. Goy , V. K. Mitrjushkin , R. N. Rogalyov

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 calculation of the thermal quark propagator taking the gluon condensate above the critical temperature into account. The quark dispersion relation following from this propagator, describing two massive modes, is discussed.

High Energy Physics - Phenomenology · Physics 2009-10-31 Andreas Schaefer , Markus H. Thoma

The distribution of gluon fields in hadrons is of fundamental interest in QCD. Using lattice QCD we have observed the formation of gluon flux tubes within 3 quark (baryon) and quark plus antiquark (meson) systems for a wide variety of…

High Energy Physics - Lattice · Physics 2010-01-07 F. Bissey , A. I. Signal , D. B. Leinweber

We study Landau-gauge gluon and ghost propagators in Yang-Mills theories at lattice parameter beta = 0, considering relatively large lattice volumes for the case of the SU(2) gauge group in three and four space-time dimensions. We compare…

High Energy Physics - Lattice · Physics 2010-04-06 Attilio Cucchieri , Tereza Mendes

We discuss critical slowing-down of several gauge-fixing algorithms for the so-called lambda-gauges in the SU(2) case at zero temperature. For these gauges we also evaluate the gluon propagator using different definitions of the lattice…

High Energy Physics - Lattice · Physics 2007-05-23 Attilio Cucchieri , Tereza Mendes

The center phase transition at non-vanishing temperatures is investigated in Landau gauge Quantum Chromodynamics (QCD) and scalar QCD. For each theory novel order parameters for the transition are introduced. The matter-gluon vertex which…

High Energy Physics - Phenomenology · Physics 2013-01-31 Mario Mitter , Markus Hopfer , Bernd-Jochen Schaefer , Reinhard Alkofer

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

The quark-gluon vertex in Landau gauge QCD is investigated in the Dyson-Schwinger approach. The aim is to obtain a fully self-consistent solution of the quark propagator and the quark-gluon vertex Dyson-Schwinger equation (DSE) in the…

High Energy Physics - Phenomenology · Physics 2012-11-01 Andreas Windisch , Markus Hopfer , Reinhard Alkofer

Propagators of diagonal and off-diagonal gluons are studied numerically in the Maximally Abelian gauge of the SU(2) lattice gauge theory. We have found the strong enhancement of the diagonal gluon in the infrared region. The enhancement…

High Energy Physics - Lattice · Physics 2009-11-10 V. G. Bornyakov , M. N. Chernodub , F. V. Gubarev , S. M. Morozov , M. I. Polikarpov

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 argue that certain specific gluon excitations, other than conventional glueballs, can propagate freely outside of hadrons and glueballs. We begin with the result that the Abelian generators of $SU(N)$ QCD can be meaningfully isolated by…

High Energy Physics - Phenomenology · Physics 2010-07-19 M. L. Walker

We present rigorous upper and lower bounds for the zero-momentum gluon propagator D(0) of Yang-Mills theories in terms of the average value of the gluon field. This allows us to perform a controlled extrapolation of lattice data to infinite…

High Energy Physics - Lattice · Physics 2008-11-26 A. Cucchieri , T. Mendes

The implementation of the linear covariant gauge on the lattice faces a conceptual problem: using the standard compact discretization, the gluon field is bounded, while the four-divergence of the gluon field satisfies a Gaussian…

High Energy Physics - Lattice · Physics 2011-02-28 Attilio Cucchieri , Tereza Mendes , Gilberto M. Nakamura , Elton M. S. Santos

We investigate the behaviour of the gluon and ghost propagators, especially their infrared properties, at non-vanishing temperatures. To this end we solve their Dyson-Schwinger equations on a torus and find an infrared enhanced ghost…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. Gruter , R. Alkofer , A. Maas , J. Wambach