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The implementation of gauge theories on a four-dimensional anisotropic lattice with two distinct lattice spacings is discussed, with special attention to the case where two axes are finely and two axes are coarsely discretized. Feynman…

高能物理 - 格点 · 物理学 2010-03-25 Giuseppe Burgio , Alessandra Feo , Mike Peardon , Sinead M. Ryan

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…

高能物理 - 理论 · 物理学 2013-12-12 M. M. Amaral , M. A. L. Capri , Y. E. Chifarelli , V. E. R. Lemes

We discuss recent numerical results obtained for gluon and ghost propagators in lattice Coulomb gauge and the status of the so-called Gribov-Zwanziger confinement scenario in this gauge. Particular emphasis will be given to the eigenvalue…

高能物理 - 格点 · 物理学 2008-11-26 Attilio Cucchieri

We explore whether a tree-level expression for the gluon two-point function, supposed to express effects of an horizon term introduced to eliminate the Gribov ambiguity, is consistent with the propagator obtained in simulations of…

高能物理 - 唯象学 · 物理学 2018-02-14 Fei Gao , Si-Xue Qin , Craig D. Roberts , Jose Rodriguez-Quintero

We present a numerical study of the running coupling constant and of the gluon and ghost propagators in minimal Landau gauge. Simulations are done in pure SU(2) lattice gauge theory for several values of beta and lattice sizes. We use two…

高能物理 - 格点 · 物理学 2009-11-07 Jacques C. R. Bloch , Attilio Cucchieri , Kurt Langfeld , Tereza Mendes

Gluon propagator in the infrared limit, computed in the Landau gauge, can be cast into an universal form with a running mass for the gluon. In this way we are able to show that all the proposals appeared so far in literature are equivalent…

高能物理 - 唯象学 · 物理学 2015-06-18 Marco Frasca

Nonperturbative properties of gluons are studied in SU(3) lattice QCD at the quenched level. The first subject is a functional-form analysis of the gluon propagator $D_{\mu\nu}^{ab}(x)$ in the Landau gauge. We find that the gluon propagator…

高能物理 - 格点 · 物理学 2011-07-14 Hideo Suganuma , Takumi Iritani , Arata Yamamoto , Hideaki Iida

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 compute the one loop corrections to the pole mass of the gluon in the MSbar scheme in the Landau gauge in both the Curci-Ferrari model and the local composite operator formalism with Nf flavours of massless quarks. For the latter we…

高能物理 - 唯象学 · 物理学 2009-11-10 R. E. Browne , J. A. Gracey

We report on the lattice computation of the Landau gauge gluon propagator at finite temperature, including the non-zero Matsubara frequencies. Moreover, the corresponding K\"all\'en-Lehmann spectral density is computed, using a Tikhonov…

高能物理 - 格点 · 物理学 2018-04-18 Paulo J. Silva , Orlando Oliveira , David Dudal , Martin Roelfs

We performed lattice Landau gauge QCD simulation on \beta=6.0, 16^4, 24^4, 32^4 and \beta=6.4, 32^4, 48^4 and 56^4 by adopting the gauge fixing that minimizes the norm of the gauge field, and measured the running coupling by using the gluon…

高能物理 - 格点 · 物理学 2013-05-29 Sadataka Furui , Hideo Nakajima

We study the ultraviolet behaviour of the ghost and gluon propagators in quenched QCD using lattice simulations. Extrapolation of the lattice data towards the continuum allows to use perturbation theory to extract $\Lambda_{\text{QCD}}$ -…

高能物理 - 格点 · 物理学 2007-05-23 A. Y. Lokhov , C. Roiesnel

Green's functions are gauge-dependent quantities. Thus, the manifestation of confinement in these correlation functions also depends on the gauge. Here we use lattice gauge theory to study the gluon and the ghost propagators in a gauge (the…

高能物理 - 格点 · 物理学 2009-03-27 Axel Maas , Attilio Cucchieri , Tereza Mendes

We study the gluon propagator $D_{\mu\nu}^{ab}(x)$ in the Landau gauge in SU(3) lattice QCD at $\beta$ = 5.7, 5.8, and 6.0 at the quenched level. The effective gluon mass is estimated as $400 \sim 600$MeV for $r \equiv (x_\alpha…

高能物理 - 格点 · 物理学 2009-12-18 Takumi Iritani , Hideo Suganuma , Hideaki Iida

We consider the low momentum expansion of the four graviton and the two graviton--two gluon amplitudes in heterotic string theory at one loop in ten dimensions, and analyze contributions upto the D^2 R^4 interaction from the four graviton…

高能物理 - 理论 · 物理学 2018-01-17 Anirban Basu

We calculate the three-point functions of pure Landau gauge QCD and investigate their influence on the propagators. As expected, the ghost-gluon vertex leads only to minor modifications, while the three-gluon vertex has a sizeable impact on…

高能物理 - 唯象学 · 物理学 2014-01-22 Markus Q. Huber , Adrian Lorenz Blum , Mario Mitter , Lorenz von Smekal

Based on transversality condition of gauge boson self-energy we have systematically constructed the general structure of the gauge boson two-point functions using four linearly independent basis tensors in presence of a nontrivial…

高能物理 - 唯象学 · 物理学 2019-08-09 Bithika Karmakar , Aritra Bandyopadhyay , Najmul Haque , Munshi G Mustafa

The Gribov ambiguity problem is studied for compact lattice QED within the Lorentz gauge. In the Coulomb phase, Gribov copies are mainly caused by double Dirac sheets and zero-momentum modes of the gauge fields. Removing them by (non-)…

高能物理 - 格点 · 物理学 2007-05-23 I. L. Bogolubsky , V. K. Mitrjushkin , M. Muller-Preussker , P. Peter , N. V. Zverev

We address the problem of the gauge fixing versus Gribov copies in lattice gauge theories. For the Landau gauge, results show that a suitable combination of evolutionary algorithms with traditional steepest descent methods identifies the…

高能物理 - 格点 · 物理学 2015-06-25 O. Oliveira , P. J. Silva

We extend a previous improved action study of the Landau gauge gluon propagator, by using a variety of lattices with spacings from $a = 0.17$ to 0.41 fm, to more fully explore finite volume and discretization effects. We also extend a…

高能物理 - 格点 · 物理学 2010-03-04 F. D. R. Bonnet , P. O. Bowman , D. B. Leinweber , A. G. Williams , J. M. Zanotti