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The infrared behavior of gluon and ghost propagators in Landau gauge Yang-Mills theory has been at the center of an intense debate over the last decade. Different solutions of the Dyson-Schwinger equations show a different behavior of the…

高能物理 - 理论 · 物理学 2015-06-05 Axel Weber

We review recent work on the effects of quark loops on the gluon propagator in the Landau gauge, relying mainly on the Schwinger-Dyson equations that describe the two-point sector of QCD. Particularly important in this context is the…

高能物理 - 唯象学 · 物理学 2014-01-21 Joannis Papavassiliou

Explicit analytical expressions are derived for the gluon propagator in a generic linear covariant $R_\xi$ gauge, by a screened massive expansion for the exact Faddeev-Popov Lagrangian of pure Yang-Mills theory. At one-loop, if the gauge…

高能物理 - 唯象学 · 物理学 2019-10-16 Fabio Siringo , Giorgio Comitini

In our previous publication [1-3] it has been proven that the general iteration solution of the Shwinger-Dyson equation for the full gluon propagator (i.e., when the skeleton loop integrals, contributing into the gluon self-energy, have to…

高能物理 - 唯象学 · 物理学 2007-05-23 V. Gogohia

The dynamically generated effective gluon mass is known to depend non-trivially on the momentum, decreasing sufficiently fast in the deep ultraviolet, in order for the renormalizability of QCD to be preserved. General arguments based on the…

高能物理 - 唯象学 · 物理学 2008-11-26 Arlene C. Aguilar , Joannis Papavassiliou

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

We derive the form of the infrared gluon propagator by proving a mapping in the infrared of the quantum Yang-Mills and $\lambda\phi^4$ theories. The equivalence is complete at a classical level. But while at a quantum level, the…

高能物理 - 理论 · 物理学 2008-12-18 Marco Frasca

We study chiral symmetry breaking using the standard gap equation, supplemented with the infrared-finite gluon propagator and ghost dressing function obtained from large-volume lattice simulations. One of the most important ingredients of…

高能物理 - 唯象学 · 物理学 2011-02-01 A. C. Aguilar , J. Papavassiliou

We perform numerical studies of the running coupling constant alpha_R(p^2) and of the gluon and ghost propagators for pure SU(2) lattice gauge theory in the minimal Landau gauge. Different definitions of the gauge fields and different…

高能物理 - 格点 · 物理学 2016-09-01 Jacques C. R. Bloch , Attilio Cucchieri , Kurt Langfeld , Tereza Mendes

Lattice results for the gluon propagator in SU(2) pure gauge theory obtained on large lattices are presented. Simulated annealing is used throughout to fix the Landau gauge. We concentrate on checks for Gribov copy effects and for scaling…

高能物理 - 格点 · 物理学 2010-11-05 I. L. Bogolubsky , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

For SU(2) lattice gauge theory we study numerically the infrared behavior of the Landau gauge ghost and gluon propagators with the special accent on the Gribov copy dependence. Applying a very efficient gauge fixing procedure and generating…

高能物理 - 格点 · 物理学 2009-11-06 V. G. Bornyakov , V. K. Mitrjushkin , M. Müller--Preussker

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

The infrared features of Landau gauge QCD are studied by the lattice simulation of $\beta=6.0, 16^4, 24^4, 32^4$ and $\beta=6.4, 32^4, 48^4$. We adopt two definitions of the gauge field; 1) $U-$linear 2) $\log U$ and measured the gluon…

高能物理 - 格点 · 物理学 2009-11-10 Sadataka Furui , Hideo Nakajima

A longstanding question in QCD is the origin of the mass gap in the Yang-Mills sector of QCD, i.e., QCD without quarks. In Landau gauge QCD this mass gap, and hence confinement, is encoded in a mass gap of the gluon propagator, which is…

高能物理 - 唯象学 · 物理学 2021-12-22 Gernot Eichmann , Jan M. Pawlowski , João M. Silva

The dependence of the Landau gauge gluon and ghost propagators on the choice of Gribov copies is studied in pure SU(3) lattice gauge theory. Whereas the influence on the gluon propagator is small, the ghost propagator becomes clearly…

高能物理 - 格点 · 物理学 2007-08-30 A. Sternbeck , E. -M. Ilgenfritz , M. Mueller-Preussker , A. Schiller

Non-Abelian gauge theories with fermions transforming in the adjoint representation of the gauge group (AdjQCD) are a fundamental ingredient of many models that describe the physics beyond the Standard Model. Two relevant examples are N=1…

高能物理 - 格点 · 物理学 2018-04-25 Georg Bergner , Stefano Piemonte

Non-perturbative formalism of the generalized effective action is used for deriving the Schwinger-Dyson equations. In order to clear the domain of integration in the functional integral from gauge copies a restriction to the Gribov horizon…

高能物理 - 理论 · 物理学 2007-05-23 P. O. Fedosenko

The infrared limit of the lattice Landau gauge gluon propagator is studied. We show that the lattice data is compatible with the pure power law $(q^2)^{2 \kappa}$ solution of the Dyson-Schwinger equations. Using various lattice volumes, the…

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

We summarise results for the propagators of Landau gauge QCD from the Green's functions approach and lattice calculations. The nonperturbative solutions for the ghost, gluon and quark propagators from a coupled set of Dyson-Schwinger…

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

Lattice-based investigations of two fundamental QCD quantities are described, namely the gluon and quark propagators in Landau gauge. We have studied the Landau gauge gluon propagator using a variety of lattices with spacings from a = 0.17…