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We propose a new lattice framework to extract the relevant gluonic energy scale of QCD phenomena which is based on a "cut" on link variables in momentum space. This framework is expected to be broadly applicable to all lattice QCD…

High Energy Physics - Lattice · Physics 2010-04-30 Arata Yamamoto , Hideo Suganuma

The starting point of any lattice QCD computation is the generation of a Markov chain of gauge field configurations. Due to the large number of lattice links and due to the matrix multiplications, generating SU(Nc) lattice QCD…

High Energy Physics - Lattice · Physics 2012-12-20 Nuno Cardoso , Pedro Bicudo

The colour confinement criterion proposed by Kugo and Ojima is tested in the lattice Landau gauge QCD simulation. The renormalization effects are studied by measuring the gluon propagator, ghost propagator, three gluon vertex and the…

High Energy Physics - Lattice · Physics 2007-05-23 Sadataka Furui , Hideo Nakajima

Lattice discretisation errors in the Landau gauge condition are examined. An improved gauge fixing algorithm in which order a^2 errors are removed is presented. Order a^2 improvement of the gauge fixing condition displays the secondary…

High Energy Physics - Lattice · Physics 2015-06-25 F. D. R. Bonnet , P. O. Bowman , D. B. Leinweber , D. G. Richards , A. G. Williams

The problem of color confinement in lattice Landau gauge QCD is briefly reviewed in the light of Kugo-Ojima criterion and Gribov-Zwanziger theory. The infrared properties of the Landau gauge QCD is studied by the measurement of the gluon…

High Energy Physics - Lattice · Physics 2017-08-23 Hideo Nakajima , Sadataka Furui

We measured the gluon propagator in the Landau gauge fixed QCD Langevin simulation and studied the infra-red behaviour of the gluon propagator. The 4^3 x 8 lattice simulation was done for quenched $\beta=3,4,5$ and unquenched $\beta=4,…

High Energy Physics - Lattice · Physics 2007-05-23 H. Nakajima , S. Furui

We present the first results from a study of the quark--gluon vertex function in the Landau gauge. The results are obtained for quenched QCD with an O(a)-improved Wilson fermion action, at beta=6.0. We discuss plans for further study,…

High Energy Physics - Lattice · Physics 2009-10-28 Jon Ivar Skullerud

We study the problem of critical slowing-down for gauge-fixing algorithms (Landau gauge) in $SU(2)$ lattice gauge theory on $2$ and $4$ dimensional lattices, both numerically and analytically. We consider five such algorithms, and we…

High Energy Physics - Lattice · Physics 2009-10-28 Attilio Cucchieri , Tereza Mendes

We summarise an analysis of the infrared regime of Landau gauge QCD by means of a flow equation approach. The infrared behaviour of gluon and ghost propagators is evaluated. The results provide further evidence for the Kugo-Ojima…

High Energy Physics - Theory · Physics 2007-05-23 J. M. Pawlowski , D. F. Litim , S. Nedelko , L. von Smekal

We revisit the computation of the three-gluon vertex in the Landau gauge using lattice QCD simulations with large physical volumes of $\sim$ (6.5 fm)$^ 4$ and $\sim$ (8 fm)$^ 4$ and large statistical ensembles. For the kinematical…

High Energy Physics - Lattice · Physics 2022-02-16 Guilherme T. R. Catumba , Orlando Oliveira , Paulo J. Silva

The phenomenon of the deconfinement -- the spectacular drop of the colorelectric string tension at the critical temperature $T_c$ -- is studied within the method of field correlators (FCM) taking into account directly the contribution of…

High Energy Physics - Phenomenology · Physics 2023-10-03 M. S. Lukashov , Yu. A. Simonov

We present a new method of gauge fixing to standard lattice Landau gauge, Max Re Tr $\sum_{\mu,x}U_{\mu,x}$, in which the link configuration is recursively smeared; these smeared links are then gauge fixed by standard extremization. The…

High Energy Physics - Lattice · Physics 2009-10-30 J. E. Hetrick , Ph. de Forcrand

We study the properties of the color-Coulomb string tension obtained from the instantaneous part of gluon propagators in Coulomb gauge using quenched SU(3) lattice simulation. In the confinement phase, the dependence of the color-Coulomb…

High Energy Physics - Lattice · Physics 2009-11-11 Y. Nakagawa , A. Nakamura , T. Saito , H. Toki , D. Zwanziger

We review the equivalence of maximal center gauge fixing to the problem of finding the best fit, to a given lattice gauge field, by a thin vortex configuration. This fit is necessarily worst at the location of P-plaquettes. We then compare…

High Energy Physics - Lattice · Physics 2008-11-26 M. Faber , J. Greensite , S. Olejnik

Lattice Landau gauge and other related lattice gauge fixing schemes are known to violate spectral positivity. The most direct sign of the violation is the rise of the effective mass as a function of distance. The origin of this phenomenon…

High Energy Physics - Lattice · Physics 2009-11-10 C. Aubin , Michael C. Ogilvie

The quenched Landau gauge gluon propagator is investigated in lattice QCD with large assimetric lattices, accessing momenta as low as $q \sim 100$ MeV or smaller. Our investigation focus on the IR limit of the gluon dressing function,…

High Energy Physics - Lattice · Physics 2009-11-10 O. Oliveira , P. J. Silva

Collisional processes are critical in the understanding of non-Maxwellian plasmas. The Landau form of the Fokker-Planck equation is the gold standard for modeling collisions in most plasmas, however O(N^2) work complexity inhibits its…

Plasma Physics · Physics 2023-06-07 M. F. Adams , D. P. Brennan , M. G. Knepley , P. Wang

We study the Landau gauge quark propagator, at finite temperature, using quenched lattice simulations. Special focus is given to the behaviour of the momentum space form factors across the confinement-deconfinement phase transition.

High Energy Physics - Lattice · Physics 2018-12-04 Paulo J. Silva , Orlando Oliveira

We compare two Landau gauge fixing methods, aiming to find the global maximum of the gauge fixing functional. Moreover, a systematic effect of Gribov copies in the gluon and ghost propagators computed in Landau gauge is presented and…

High Energy Physics - Lattice · Physics 2009-04-14 P. J. Silva , O. Oliveira

The infrared properties of lattice Landau gauge QCD of SU(3) are studied by measuring gluon propagator, ghost propagator, QCD running coupling and Kugo-Ojima parameter of $\beta=6.0, 16^4,24^4,32^4$ and $\beta=6.4, 32^4,48^4$ lattices. We…

High Energy Physics - Lattice · Physics 2009-11-10 Hideo Nakajima , Sadataka Furui