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We study numerically magnetic $G_M(p)$ and electric $G_E(p)$ gluon propagators and their dependence on the choice of the lattice gauge field $\caa_{x\mu}$ in SU(2) gauge theory, especially, in the low--momentum limit. We find that two…

高能物理 - 格点 · 物理学 2007-05-23 I. L. Bogolubsky , V. K. Mitrjushkin

The subtraction of hypercubic lattice corrections, calculated at 1-loop order in lattice perturbation theory (LPT), is common practice, e.g., for determinations of renormalization constants in lattice hadron physics. Providing such…

高能物理 - 格点 · 物理学 2013-11-12 Jakob Simeth , Andre Sternbeck , Ernst-Michael Ilgenfritz , Holger Perlt , Arwed Schiller

We investigate the infrared behaviour of the gluon propagator in Landau gauge on a lattice with twisted boundary conditions. Analytic calculations using Dyson-Schwinger equations, exact renormalization group and stochastic quantization show…

高能物理 - 格点 · 物理学 2007-05-23 Torsten Tok , Kurt Langfeld , Hugo Reinhardt , Lorenz von Smekal

The gluon propagator has been calculated for quenched QCD in the Landau gauge at beta=6.0 for volumes 16^3x48 and 32^3x64, and at beta=6.2 for volume 24^3x48$. The large volume and different lattice spacings allow us to identify and…

高能物理 - 格点 · 物理学 2008-11-26 D. B. Leinweber , C. Parrinello , J. I. Skullerud , A. G. Williams

Scaling of the Landau gauge gluon propagator calculated at beta=6.0 and at beta=6.2 is demonstrated. A variety of functional forms for the gluon propagator calculated on a large (32^3x64) lattice at beta=6.0 are investigated.

高能物理 - 格点 · 物理学 2008-11-26 D. B. Leinweber , C. Parrinello , J. I. Skullerud , A. G. Williams

The gluon propagator in Landau gauge is calculated in quenched QCD on a large (32^3X64) lattice at beta=6.0. In order to assess finite volume and finite lattice spacing artefacts, we also calculate the propagator on a smaller volume for two…

高能物理 - 格点 · 物理学 2007-05-23 D. B. Leinweber , J. I. Skullerud , A. G. Williams

In this paper we test an approximate method that is often used in lattice studies of the Landau gauge three-gluon vertex. The approximation consists in describing the lattice correlator with tensor bases from the continuum theory. With the…

高能物理 - 格点 · 物理学 2019-02-13 Milan Vujinovic , Tereza Mendes

The SU(2) gluon propagator in Landau gauge is studied on the lattice. Our gauge fixing procedure employs simulated annealing and Z(2)-flips. It finds higher maxima of the gauge functional compared with those obtained with the standard…

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,…

高能物理 - 格点 · 物理学 2007-05-23 H. Nakajima , S. Furui

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…

高能物理 - 格点 · 物理学 2007-05-23 Attilio Cucchieri , Tereza Mendes

By means of Numerical Stochastic Perturbation Theory (NSPT), we calculate the lattice gluon propagator up to three loops of perturbation theory in the limits of infinite volume and vanishing lattice spacing. Based on known anomalous…

高能物理 - 格点 · 物理学 2012-02-15 C. Torrero , F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller

We present recent results of the Landau gauge gluon and ghost propagators in SU(3) pure gauge theory at Wilson \beta=5.7 for lattice sizes up to 80^4 corresponding to physical volumes up to (13.2 fm)^4. In particular, we focus on…

高能物理 - 格点 · 物理学 2009-04-14 I. L. Bogolubsky , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

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…

高能物理 - 格点 · 物理学 2007-05-23 Sadataka Furui , Hideo Nakajima

In SU(3) lattice QCD, we study diagonal and off-diagonal gluon propagators in the maximally Abelian (MA) gauge with U(1)$_3 \timesU(1)_8$ Landau gauge fixing. These propagators are studied both in the coordinate space and in the momentum…

高能物理 - 格点 · 物理学 2013-05-01 Shinya Gongyo , Hideo Suganuma

We compute the dimension-2 condensate, <A^2>, and the dimension-4 mixed condensate, <\bar q A q>, from the recent quenched lattice results for the quark propagator in the Landau gauge. We fit the lattice data to the Operator Product…

高能物理 - 唯象学 · 物理学 2009-11-10 Enrique Ruiz Arriola , Patrick Oswald Bowman , Wojciech Broniowski

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,…

高能物理 - 格点 · 物理学 2009-11-10 O. Oliveira , P. J. Silva

We summarize the higher-loop perturbative computation of the ghost and gluon propagators in SU(3) Lattice Gauge Theory. Our final aim is to compare with results from lattice simulations in order to expose the genuinely non-perturbative…

高能物理 - 格点 · 物理学 2015-05-20 F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller , C. Torrero

We investigate Landau gauge $SU(3)$ Yang-Mills theory in a systematic vertex expansion scheme for the effective action with the functional renormalisation group. Particular focus is put on the dynamical creation of the gluon mass gap at…

高能物理 - 唯象学 · 物理学 2016-09-12 Anton K. Cyrol , Leonard Fister , Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

We present results for the propagators and the ghost-gluon vertex of Landau gauge Yang-Mills theory obtained from Dyson-Schwinger equations. Solving these three quantities simultaneously constitutes a new step in truncating these equations.…

高能物理 - 理论 · 物理学 2013-01-15 Markus Q. Huber , Lorenz von Smekal

The gluon propagator is calculated in quenched QCD for two different lattice sizes (16^3x48 and 32^3x64) at beta=6.0. The volume dependence of the propagator in Landau gauge is studied. The smaller lattice is instrumental in revealing…

高能物理 - 格点 · 物理学 2009-12-30 D. B. Leinweber , C. Parrinello , J. I. Skullerud , A. G. Williams