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We study the gluon propagator in quenched lattice QCD using the Laplacian gauge which is free of lattice Gribov copies. We compare our results with those obtained in the Landau gauge on the lattice, as well as with various approximate…

High Energy Physics - Lattice · Physics 2008-11-26 C. Alexandrou , Ph. de Forcrand , E. Follana

We consider the two-point correlators of Yang-Mills theories at finite temperature in the Landau gauge. We employ a model for the corresponding Yang-Mills correlators based on the inclusion of an effective mass term for gluons. The latter…

High Energy Physics - Theory · Physics 2015-06-18 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

We discuss the analytic continuation of the gluon propagator from the Euclidean region to the complex squared-momentum plane towards the Minkowski region from a viewpoint of gluon confinement. For this purpose, we investigate the massive…

High Energy Physics - Theory · Physics 2019-12-16 Kei-Ichi Kondo , Yui Hayashi , Ryutaro Matsudo , Yutaro Suda , Masaki Watanabe

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 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…

High Energy Physics - Theory · Physics 2015-06-05 Axel Weber

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

The Kugo-Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators in Landau gauge QCD are reviewed. The realization of this confinement criterion (which in Landau gauge relates to Zwanziger's…

High Energy Physics - Phenomenology · Physics 2017-08-23 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

We formulate a framework to determine the mass of glueball states of Landau gauge Yang-Mills theory in the continuum. To this end we derive a Bethe-Salpeter equation for two gluon bound states including the effects of Faddeev-Popov ghosts.…

High Energy Physics - Phenomenology · Physics 2015-03-23 Helios Sanchis-Alepuz , Christian S. Fischer , Christian Kellermann , Lorenz von Smekal

We investigate Landau gauge $SU(3)$ Yang-Mills theory in a systematic vertex expansion scheme for the effective action with the functional renormalisation group. Particular focus is put on the dynamical creation of the gluon mass gap at…

High Energy Physics - Phenomenology · Physics 2016-09-12 Anton K. Cyrol , Leonard Fister , Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

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…

High Energy Physics - Phenomenology · Physics 2020-07-01 Markus Q. Huber

We present rigorous upper and lower bounds for the momentum-space ghost propagator G(p) of Yang-Mills theories in terms of the smallest nonzero eigenvalue (and of the corresponding eigenvector) of the Faddeev-Popov matrix. We apply our…

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

We study numerically the Schwinger-Dyson equations for the coupled system of gluon and ghost propagators in the Landau gauge and in the case of pure gauge QCD. We show that a dynamical mass for the gluon propagator arises as a solution…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. C. Aguilar , A. A. Natale

The gluon and ghost propagators are computed using both quenched and dynamical configurations for the same lattice spacings. The Wilson fermions are simulated at several quark masses. Furthermore, the effect of the Gribov copies is…

High Energy Physics - Lattice · Physics 2011-04-04 P. J. Silva , O. Oliveira

The SU(2) Yang-Mills gluon and ghost Green-functions are studied in Landau gauge by means of lattice gauge simulations. A focal point is their low energy behavior since in particular the Kugo-Ojima confinement criterion relates a diverging…

High Energy Physics - Lattice · Physics 2009-09-29 Kurt Langfeld

We study the influence of Gribov copies on gluon and ghost propagators, evaluated numerically in pure SU(2) lattice gauge theory in the minimal Landau gauge. Simulations are done at four different values of $\beta$ (namely $\beta$ = 0, 0.8,…

High Energy Physics - Lattice · Physics 2009-10-30 Attilio Cucchieri

Some features of the solutions to the truncated Dyson-Schwinger equations(DSEs) for the propagators of QCD in Landau gauge are summarized. In particular, the Kugo-Ojima confinement criterion is realized, and positivity of transverse gluons…

High Energy Physics - Phenomenology · Physics 2009-10-31 Reinhard Alkofer , Lorenz von Smekal

We compute the finite temperature ghost and gluon propagators of Yang-Mills theory in the Landau-DeWitt gauge. The background field that enters the definition of the latter is intimately related with the (gauge-invariant) Polyakov loop and…

High Energy Physics - Theory · Physics 2017-03-03 U. Reinosa , J. Serreau , M. Tissier , A. Tresmontant

In order to understand the confining decoupling solution of the Yang-Mills theory in the Landau gauge, we consider the massive Yang-Mills model which is defined by just adding a gluon mass term to the Yang-Mills theory with the…

High Energy Physics - Theory · Physics 2020-02-26 Kei-Ichi Kondo , Masaki Watanabe , Yui Hayashi , Ryutaro Matsudo , Yutaro Suda

We present an analytic description of numerical results for the ghost propagator G(p^2) in minimal Landau gauge on the lattice. The data were produced in the SU(2) case using the largest lattice volumes to date, for d = 2, 3 and 4…

High Energy Physics - Lattice · Physics 2016-06-01 Attilio Cucchieri , David Dudal , Tereza Mendes , Nele Vandersickel

We report on the infrared limit of the quenched lattice Landau gauge gluon propagator computed from large asymmetric lattices. In particular, the compatibility of the pure power law infrared solution $(q^2)^{2\kappa}$ of the Dyson-Schwinger…

High Energy Physics - Lattice · Physics 2008-11-26 O. Oliveira , P. J. Silva
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