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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…

高能物理 - 唯象学 · 物理学 2007-05-23 Andreas Hauck , Reinhard Alkofer , Lorenz von Smekal

The recent investigations of pure Landau gauge SU(3) Yang-Mills theories which are based on the truncated Schwinger-Dyson equations (SDE) indicate an infrared power law behavior of the gluon and the ghost propagators. It has been shown that…

高能物理 - 理论 · 物理学 2007-05-23 Junya Kato

Lattice studies of the infrared behavior of gluon and ghost propagators are a key probe of confinement scenarios in Yang-Mills theories. However, finite-volume effects become an important issue as the infrared limit is approached. By…

高能物理 - 格点 · 物理学 2009-06-25 Attilio Cucchieri , Tereza Mendes

We examine the possibility that there may exist a logarithmic correction to the infrared asymptotic solution with power behavior which has recently been found for the gluon and Faddeev-Popov ghost propagators in the Landau gauge. We propose…

高能物理 - 理论 · 物理学 2010-04-05 Kei-Ichi Kondo

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…

高能物理 - 格点 · 物理学 2008-11-26 Attilio Cucchieri , Axel Maas , Tereza Mendes

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…

高能物理 - 唯象学 · 物理学 2009-10-30 Lorenz von Smekal , Andreas Hauck , Reinhard Alkofer

We discuss the different methods to obtain reliable informations about the deep infra-red behaviour of the gluon and ghost Green functions in QCD. We argue that a clever combination of analytical inputs and numerical ones is necessary. We…

高能物理 - 唯象学 · 物理学 2011-07-14 O. Pène , Ph. Boucaud , J. P. Leroy , A. Le Yaouanc , J. Micheli , J. Rodríguez-Quintero

Recent investigations of the Dyson-Schwinger equations and Monte-Carlo lattice calculations resulted in a coherent description of the fully dressed gluon, ghost and quark propagators in Landau gauge QCD. In the Dyson-Schwinger approach the…

高能物理 - 唯象学 · 物理学 2007-05-23 R. Alkofer , C. S. Fischer

We summarize the current status of our numerical results for the gluon and ghost propagators and for the Kugo-Ojima confinement parameter in quenched SU(3) lattice Landau gauge theory. The data for the propagators are compared to our…

高能物理 - 格点 · 物理学 2009-09-29 A. Sternbeck , E. -M. Ilgenfritz , M. Müller-Preussker , A. Schiller , I. L. Bogolubsky

A universal behavior is predicted for ghost and gluon propagators in the infrared. The universal behavior is shown to be a signature of a one-loop approximation and emerges naturally by the massive expansion that predicts universal…

高能物理 - 唯象学 · 物理学 2017-03-27 Fabio Siringo

We report on the infrared limit of the quenched lattice Landau gauge gluon and ghost propagators computed from large asymmetric lattices. In particular, the compatibility of the pure power law infrared solutions of the Dyson-Schwinger…

高能物理 - 格点 · 物理学 2009-09-29 P. J. Silva , O. Oliveira

With proposing a unified description of the fields variation at the level of generating functional, we obtain a new identity for the quark-gluon interaction vertex based on gauge symmetry, which is similar to the Slavnov-Taylor…

高能物理 - 理论 · 物理学 2021-09-22 Fei Gao , Can Tang , Yu-xin Liu

We study the gluon and ghost propagators of lattice Landau gauge in the strong-coupling limit beta=0 in pure SU(2) lattice gauge theory to find evidence of the conformal infrared behavior of these propagators as predicted by a variety of…

高能物理 - 格点 · 物理学 2014-11-18 Andre Sternbeck , Lorenz von Smekal

The infrared behavior of gluon and ghost propagators in Yang-Mills theories is of central importance for understanding quark and gluon confinement in QCD. While simulations of pure SU(3) gauge theory correspond to the physical case in the…

高能物理 - 格点 · 物理学 2008-11-26 A. Cucchieri , T. Mendes , O. Oliveira , P. J. Silva

QCD perturbation theory ignores the compact nature of $SU(3)$ gauge group that gives rise to the periodic $\theta$-vacuum of the theory. We propose to modify the gluon propagator to reconcile perturbation theory with the anomalous Ward…

高能物理 - 唯象学 · 物理学 2015-06-24 Dmitri E. Kharzeev , Eugene M. Levin

The color diagonal and color antisymmetric ghost propagators slightly above $T_c$ of $N_f=2$ MILC $24^3\times 12$ lattices are measured and compared with zero temperature unquenched $N_f=2+1$ MILC$_c$ $20^3\times 64$ and MILC$_f$…

高能物理 - 格点 · 物理学 2008-11-26 Sadataka Furui , Hideo Nakajima

We solve a truncated system of coupled Dyson-Schwinger equations for the gluon and ghost propagators in SU($N_c$) Yang-Mills theories in Faddeev-Popov quantization on a four-torus. This compact space-time manifold provides an efficient mean…

高能物理 - 唯象学 · 物理学 2008-11-26 C. S. Fischer , R. Alkofer , H. Reinhardt

In previous works, we have constructed a refined version of the Gribov-Zwanziger action in 4 dimensions, by taking into account a novel dynamical effect. In this paper, we explore the 3-dimensional case. Analogously as in 4 dimensions, we…

高能物理 - 理论 · 物理学 2008-12-30 D. Dudal , J. A. Gracey , S. P. Sorella , N. Vandersickel , H. Verschelde

In Landau gauge QCD the Kugo-Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators are reviewed. It is demonstrated that the realization of this confinement criterion (which is closely…

核理论 · 物理学 2009-11-10 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

So far, the infrared behavior of the gluon and ghost propagator based on the Gribov-Zwanziger approach predicted a positivity violating gluon propagator vanishing at zero momentum, and an infrared enhanced ghost propagator. However, recent…

高能物理 - 理论 · 物理学 2008-11-26 D. Dudal , S. P. Sorella , N. Vandersickel , H. Verschelde