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Related papers: Ghost dissection

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The dependence of the gluon and ghost propagator in pure SU(3) gauge theory on the choice of Gribov copies in Landau gauge is studied. Simulations were performed on several lattice sizes at $\beta$=5.8, 6.0 and 6.2. In the infrared region…

High Energy Physics - Lattice · Physics 2007-08-30 A. Sternbeck , E. -M. Ilgenfritz , M. Mueller-Preussker , A. Schiller

In SU(2) lattice pure gauge theory we study numerically the dependence of the ghost propagator G(p) on the choice of Gribov copies in Lorentz (or Landau) gauge. We find that the effect of Gribov copies is essential in the scaling window…

High Energy Physics - Lattice · Physics 2009-11-10 T. D. Bakeev , E. -M. Ilgenfritz , V. K. Mitrjushkin , M. Mueller-Preussker

We consider Yang-Mills theories in a recently proposed family of nonlinear covariant gauges that consistently deals with the issue of Gribov ambiguities. Such gauges provide a generalization of the Curci-Ferrari-Delbourgo-Jarvis gauges…

High Energy Physics - Theory · Physics 2015-11-11 Julien Serreau , Matthieu Tissier , Andréas Tresmontant

We present an analytic description of numerical results for the Landau-gauge SU(2) gluon propagator D(p^2), obtained from lattice simulations (in the scaling region) for the largest lattice sizes to date, in d = 2, 3 and 4 space-time…

High Energy Physics - Lattice · Physics 2013-05-30 Attilio Cucchieri , David Dudal , Tereza Mendes , Nele Vandersickel

The quenched gluon and ghost propagator data published in [1] is reanalysed following the suggestion of [2] to resolve the differences between the infrared data of the simulations. Our results confirms that the procedure works well either…

High Energy Physics - Lattice · Physics 2017-11-29 Anthony G. Duarte , Orlando Oliveira , Paulo J. Silva

We study Landau-gauge Yang-Mills theory by means of a nonperturbative vertex expansion of the quantum effective action. Using an exact renormalization group equation, we compute the fully dressed gluon and ghost propagators to lowest…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian S. Fischer , Holger Gies

By evaluating the so-called Bose-ghost propagator, we present the first numerical evidence of BRST-symmetry breaking for Yang-Mills theory in minimal Landau gauge, i.e. due to the restriction of the functional integration to the first…

High Energy Physics - Lattice · Physics 2014-10-31 Attilio Cucchieri , David Dudal , Tereza Mendes , Nele Vandersickel

The infrared behavior of Landau gauge gluon and ghost propagators are investigated in Yang-Mills theory at non-vanishing temperatures. Self-consistent solutions are presented for temperatures below the presumed phase transition and in the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Axel Maas , Jochen Wambach , Burghard Gruter , Reinhard Alkofer

Beyond perturbation theory the number of gauge copies drastically increases due to the Gribov-Singer ambiguity. Any way of treating them defines, in principle, a new, non-perturbative gauge, and the gauge-dependent correlation functions can…

High Energy Physics - Lattice · Physics 2017-11-07 Axel Maas

We study an approximate version of the Schwinger-Dyson equation that controls the nonperturbative behavior of the ghost-gluon vertex, in the Landau gauge. In particular, we focus on the form factor that enters in the dynamical equation for…

High Energy Physics - Phenomenology · Physics 2013-08-16 A. C. Aguilar , D. Ibáñez , J. Papavassiliou

In BRST-quantised Yang-Mills theory the existence of BRST symmetry imposes significant constraints on the analytic structure of the continuum theory. In particular, the presence of this symmetry in the non-perturbative regime implies that…

High Energy Physics - Theory · Physics 2021-11-05 Shirley Weishi Li , Peter Lowdon , Orlando Oliveira , Paulo J. Silva

An introduction is given into current lattice investigations of the non-perturbative gluon and ghost propagators, in the light of the Gribov-Zwanziger and Kugo-Ojima scenarios of confinement, in the context of results obtained from the…

High Energy Physics - Phenomenology · Physics 2007-09-04 E. -M. Ilgenfritz

To investigate the possibility of a ghost-antighost condensate the coupled Dyson--Schwinger equations for the gluon and ghost propagators in Yang--Mills theories are derived in general covariant gauges, including ghost-antighost symmetric…

High Energy Physics - Theory · Physics 2008-11-26 R. Alkofer , C. S. Fischer , H. Reinhardt , L. von Smekal

We present a more detailed picture of the infrared regime of Landau gauge Yang-Mills theory. This is done within a novel framework that allows one to take into account the influence of finite scales within an infrared power counting…

High Energy Physics - Theory · Physics 2010-05-19 Reinhard Alkofer , Markus Q. Huber , Kai Schwenzer

In the first part of this thesis a coupled truncated set of Dyson-Schwinger equations (DSEs) including the one for the gluon-propagator is solved self-consistently over the whole momentum range. In Landau gauge the truncation of the coupled…

High Energy Physics - Theory · Physics 2014-12-22 Valentin Mader

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…

High Energy Physics - Lattice · Physics 2008-11-26 Attilio Cucchieri , Axel Maas , Tereza Mendes

We demonstrate that power-like non-perturbative behavior of gluon and ghost propagators in infrared limit of Yang-Mills theories can provide at finite temperatures T a negative T^4-contribution to the pressure and energy density. Existence…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. N. Chernodub , V. I. Zakharov

We investigate the propagators of 4D SU(2) gauge theory in Landau gauge by Monte Carlo simulations. To be able to compare with perturbative calculations we use large $\beta$ values. There the breaking of the Z(2) symmetry causes large…

High Energy Physics - Lattice · Physics 2009-10-30 G. Damm , W. Kerler , V. K. Mitrjushkin

We study the influence of Gribov copies on gluon and ghost propagators in lattice Landau gauge. For the gluon propagator, Gribov noise seems to be of the order of magnitude of the numerical accuracy. On the contrary, for the ghost…

High Energy Physics - Lattice · Physics 2009-10-30 Attilio Cucchieri , Tereza Mendes

The Yang-Mills Schr\"odinger equation is solved in Coulomb gauge for the vacuum by the variational principle using an ansatz for the wave functional, which is strongly peaked at the Gribov horizon. A coupled set of Schwinger-Dyson equations…

High Energy Physics - Theory · Physics 2008-11-26 C. Feuchter , H. Reinhardt