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The low-energy limit of pure Yang-Mills SU(3) gauge theory is studied in Feynman gauge by the method of stationary variance, a genuine second-order variational method that is suited to deal with the minimal coupling of fermions in gauge…

高能物理 - 唯象学 · 物理学 2014-11-26 Fabio Siringo

We discuss the properties of ghost and gluon propagators in the deep infrared momentum region of Landau gauge Yang-Mills theory. Within the framework of Dyson-Schwinger equations and the functional renormalization group we demonstrate that…

高能物理 - 唯象学 · 物理学 2010-04-30 Christian S. Fischer , Axel Maas , Jan M. Pawlowski

We discuss a non-perturbative lattice calculation of the ghost and gluon propagators in the pure Yang-Mills theory in Landau gauge. The ultraviolet behaviour is checked up to NNNLO yielding the value…

高能物理 - 格点 · 物理学 2007-05-23 A. Y. Lokhov , Ph. Boucaud , J. P. Leroy , A. Le Yaouanc , J. Micheli , O. Pène , J. Rodríguez-Quintero , C. Roiesnel

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…

高能物理 - 格点 · 物理学 2023-07-18 V\'{\I}tor Paiva , Paulo J. Silva , Orlando Oliveira

Correlation functions of Yang-Mills theory in the Landau gauge are calculated from their equations of motion. The employed setup is completely parameter free and leads, within errors, to good quantitative agreement with corresponding…

高能物理 - 唯象学 · 物理学 2020-07-01 Markus Q. Huber

We exploit the Ward-Slavnov-Taylor identity relating the 3-gluons to the ghost-gluon vertices to conclude either that the ghost dressing function is finite and non vanishing at zero momentum while the gluon propagator diverges (although it…

高能物理 - 唯象学 · 物理学 2010-03-19 Ph. Boucaud , J. P. Leroy , A. Le Yaouanc , A. Y. Lokhov , J. Micheli , O. Pène , J. Rodríguez-Quintero , C. Roiesnel

We discuss the properties of ghost and gluon propagators in Landau gauge Yang-Mills theory and their relation to the confinement problem. In general two types of infrared behavior of these functions are allowed from their functional…

高能物理 - 唯象学 · 物理学 2009-06-25 Christian S. Fischer , Axel Maas , Jan M. Pawlowski

We study Landau-gauge gluon and ghost propagators in Yang-Mills theories at lattice parameter beta = 0, considering relatively large lattice volumes for the case of the SU(2) gauge group in three and four space-time dimensions. We compare…

高能物理 - 格点 · 物理学 2010-04-06 Attilio Cucchieri , Tereza Mendes

We show that the $1/p^2$ power corrections to the ultraviolet asymptotic solutions are allowed as consistent solutions of the coupled Schwinger-Dyson equation for the gluon and (Faddeev-Popov) ghost propagators in Yang-Mills theory. This…

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

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 canonical recursive Dyson--Schwinger equations for the three-gluon and ghost-gluon vertices are solved numerically. The employed truncation includes several previously neglected diagrams and includes back-coupling effects. We find an…

高能物理 - 唯象学 · 物理学 2015-02-18 Markus Q. Huber , Davide R. Campagnari , Hugo Reinhardt

We investigate the infrared (strong-coupling) regime of SU(N)-Yang-Mills theory on a self-dual background. We present an evaluation of the full effective potential for the field strength invariant F_{\mu {\nu}}F^{\mu {\nu}} from…

高能物理 - 唯象学 · 物理学 2011-03-22 Astrid Eichhorn , Holger Gies , Jan M. Pawlowski

The Gluon and Ghost propagators in Landau gauge QCD are investigated using the Schwinger-Dyson equation approach. Working in Euclidean spacetime, we solve for these propagators using a selection of vertex inputs, initially for the ghost…

高能物理 - 唯象学 · 物理学 2012-01-12 M. R. Pennington , D. J. Wilson

We compute the ghost spectral function in Yang-Mills theory by solving the corresponding Dyson-Schwinger equation for a given input gluon spectral function. The results encompass both scaling and decoupling solutions for the gluon…

高能物理 - 理论 · 物理学 2021-11-03 Jan Horak , Joannis Papavassiliou , Jan M. Pawlowski , Nicolas Wink

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…

高能物理 - 理论 · 物理学 2009-11-10 D. Epple , C. Feuchter , H. Reinhardt

We solve the ghost-gluon system of Yang-Mills theory using Graphics Processing Units (GPUs). Working in Landau gauge, we use the Dyson-Schwinger formalism for the mathematical description as this approach is well-suited to directly benefit…

高能物理 - 唯象学 · 物理学 2015-06-05 Markus Hopfer , Reinhard Alkofer , Gundolf Haase

Within the Hamiltonian approach to Yang-Mills theory in Coulomb gauge the ghost and gluon propagators are determined from a variational solution of the Yang-Mills Schroedinger equation showing both gluon and heavy quark confinement. The…

高能物理 - 理论 · 物理学 2009-06-25 H. Reinhardt , G . Burgio , D. Campagnari , D. Epple , M. Leder , M. Pak , M. Quandt , W. Schleifenbaum

The ghost propagator in Landau gauge is studied at finite temperature below and above $T_c$ using lattice QCD simulations. For high temperatures, we find that the ghost propagator is enhanced, compared to the confined phase. The results…

高能物理 - 格点 · 物理学 2023-01-04 Orlando Oliveira , Vítor Paiva , Paulo Silva

A new functional renormalization group equation for Hamiltonian Yang-Mills theory in Coulomb gauge is presented and solved for the static gluon and ghost propagators under the assumption of ghost dominance. The results are compared to those…

高能物理 - 理论 · 物理学 2011-06-15 Hugo Reinhardt , Markus Leder , Jan M. Pawlowski , Axel Weber

The gluon propagator is computed in large asymmetric lattices, accessing momenta around 100 MeV and smaller. Our study tries to check the compatibility of the recent solutions of the gluon-ghost Dyson-Schwinger equations with lattice…

高能物理 - 格点 · 物理学 2007-05-23 P. J. Silva , O. Oliveira