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The inclusion of a mass-like term for the gluon in Yang-Mills theories quantized in the Landau gauge has proven to be an effective way of reproducing lattice results for gauge-fixed correlation functions within perturbative computations.…

High Energy Physics - Theory · Physics 2026-03-20 D. M. van Egmond , L. C. Ferreira , A. D. Pereira , G. Peruzzo , S. P. Sorella

This is the first of a series of two papers on the perturbative computation of the ghost and gluon propagators in SU(3) Lattice Gauge Theory. Our final aim is to eventually compare with results from lattice simulations in order to enlight…

High Energy Physics - Lattice · Physics 2010-10-27 F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller , C. Torrero

We study the Hamiltonian approach to Yang-Mills theory in Coulomb gauge in Rayleigh-Schroedinger perturbation theory. The static gluon and ghost propagator as well as the potential between static colour sources are calculated to one-loop…

High Energy Physics - Theory · Physics 2011-04-14 Davide R. Campagnari , Hugo Reinhardt , Axel Weber

The infrared behavior of gluon and ghost propagators in Yang-Mills gauge theories is of central importance for the understanding of confinement in QCD. While analytic studies using Schwinger-Dyson equations predict the same infrared…

High Energy Physics - Lattice · Physics 2008-11-26 Attilio Cucchieri , Tereza Mendes. Orlando Oliveira , Paulo J. Silva

A numerical study of the ghost Dyson-Schwinger equation in Coulomb gauge is performed and solutions for the ghost propagator found. As input, lattice results for the spatial gluon propagator are used. It is shown that in order to solve…

High Energy Physics - Theory · Physics 2010-12-24 Peter Watson , Hugo Reinhardt

In this work we compute, at the "one-loop-dressed" level, the nonperturbative contribution of the ghost loops to the self-energy of the gluon propagator, in the Landau gauge. This is accomplished within the PT-BFM formalism, which…

High Energy Physics - Phenomenology · Physics 2015-05-30 A. C. Aguilar , D. Binosi , J. Papavassiliou

We continue the systematic computation of Landau gauge gluon and ghost propagators of SU(2) gluodynamics using a sequence of increasing lattice sizes L^4 up to L=112 with corresponding \beta-values chosen to keep the linear physical size…

High Energy Physics - Lattice · Physics 2013-03-15 I. Bogolubsky , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

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. We find an infrared suppressed gluon…

High Energy Physics - Theory · Physics 2009-11-10 D. Epple , C. Feuchter , H. Reinhardt

We derive a new functional renormalization group equation for Hamiltonian Yang-Mills theory in Coulomb gauge. The flow equations for the static gluon and ghost propagators are solved under the assumption of ghost dominance within different…

High Energy Physics - Theory · Physics 2011-02-02 Markus Leder , Jan M. Pawlowski , Hugo Reinhardt , Axel Weber

We investigate the finite-temperature structure of ghost and gluon propagators within an approach based on the rainbow truncated Dyson-Schwinger equations in Landau gauge. The method, early used for modeling the quark, ghost and gluon…

High Energy Physics - Phenomenology · Physics 2022-12-15 L. P. Kaptari

We analyse the complete algebraic structure of the background field method for Yang--Mills theory in the Landau gauge and show several structural simplifications within this approach. In particular we present a new way to study the IR…

High Energy Physics - Theory · Physics 2009-11-10 Pietro A. Grassi , T. Hurth , A. Quadri

This is the second of two papers devoted to the perturbative computation of the ghost and gluon propagators in SU(3) Lattice Gauge Theory. Such a computation should enable a comparison with results from lattice simulations in order to…

High Energy Physics - Lattice · Physics 2010-10-27 F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller , C. Torrero

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…

High Energy Physics - Theory · Physics 2007-05-23 P. O. Fedosenko

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

We study the momentum dependence of the ghost propagator and of the space and time components of the gluon propagator at equal time in pure SU(3) lattice Coulomb gauge theory carrying out a joint analysis of data collected independently at…

High Energy Physics - Lattice · Physics 2009-06-25 Y. Nakagawa , A. Voigt , E. -M. Ilgenfritz , M. Müller-Preussker , A. Nakamura , T. Saito , A. Sternbeck , H. Toki

The high-temperature phase of Yang-Mills theory in Landau gauge is studied using Dyson-Schwinger equations. The propagators of the gluon and the Faddeev-Popov ghosts are obtained at finite and infinite temperature, partially analytically.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Axel Maas

The temperature dependence of the Landau gauge ghost propagator is investigated in pure SU(3) Yang-Mills theory with lattice QCD simulations. Its behavior around the confined-deconfined phase transition temperature, $T_c \sim 270$ MeV, is…

High Energy Physics - Lattice · Physics 2023-07-18 V\'{\I}tor Paiva , Paulo J. Silva , Orlando Oliveira

We study the infrared behaviour of lattice SU(3) Yang-Mills theory in Coulomb gauge in terms of the ghost propagator, the Coulomb potential and the transversal and the time-time component of the equal-time gluon propagator. In particular,…

High Energy Physics - Lattice · Physics 2008-11-26 Aiko Voigt , Ernst-Michael Ilgenfritz , Michael Mueller-Preussker , Andre Sternbeck

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…

High Energy Physics - Lattice · Physics 2016-09-01 Jacques C. R. Bloch , Attilio Cucchieri , Kurt Langfeld , Tereza Mendes

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