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Recently we reported on the infrared behavior of the Landau gauge gluon and ghost dressing functions in SU(3) Wilson lattice gluodynamics with special emphasis on the Gribov problem. Here we add an investigation of the spectral properties…

High Energy Physics - Lattice · Physics 2007-05-23 A. Sternbeck , E. -M. Ilgenfritz , M. Mueller-Preussker

We compute the full non-perturbative ghost and gluon two-point Green functions by using gauge field configurations with $\nf=2$ and $\nf=2+1+1$ twisted-mass quark flavours. We use simulations with several different light quark masses, heavy…

High Energy Physics - Phenomenology · Physics 2015-06-11 A. Ayala , A. Bashir , D. Binosi , M. Cristoforetti , J. Rodríguez-Quintero

2-color QCD is the simplest QCD-like theory which is accessible to lattice simulations at finite density. It therefore plays an important role to test qualitative features and to provide benchmarks to other methods and models, which do not…

High Energy Physics - Lattice · Physics 2019-05-28 Tamer Boz , Ouraman Hajizadeh , Axel Maas , Jon-Ivar Skullerud

We present non-perturbative first-principle results for quark-, gluon- and meson $1$PI correlation functions of two-flavour Landau-gauge QCD in the vacuum. These correlation functions carry the full information about the theory. They are…

High Energy Physics - Phenomenology · Physics 2018-03-14 Anton K. Cyrol , Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

We present a numerical study of the gluon propagator in lattice Landau gauge for three-dimensional pure-SU(2) lattice gauge theory at couplings beta = 4.2, 5.0, 6.0 and for lattice volumes V = 40^3, 80^3, 140^3. In the limit of large V we…

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

We investigate the Landshoff-Nachtmann two-gluon-exchange model of the Pomeron using gluon propagators computed in the Landau gauge within quenched lattice QCD calculations. We first determine an effective gluon-quark coupling by…

High Energy Physics - Lattice · Physics 2009-10-28 D. S. Henty , C. Parrinello , D. G. Richards

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. S. Fischer , R. Alkofer

A particular initial state for the construction of the perturbative expansion of QCD is investigated. It is formed as a coherent superposition of zero momentum gluon pairs and shows Lorentz as well as global SU(3) symmetries. It follows…

High Energy Physics - Theory · Physics 2018-10-25 Marcos Rigol , Alejandro Cabo

We illustrate preliminary results on the gluon propagator computed in generic covariant lattice gauges in the quenched approximation with the Wilson action. We have applied a recently proposed procedure to fix a generic covariant gauge on…

High Energy Physics - Lattice · Physics 2009-10-31 L. Giusti , M. L. Paciello , S. Petrarca , C. Rebbi , B. Taglienti

We summarise results on the infrared behaviour of Landau gauge QCD from the Green's functions approach and lattice calculations. Approximate, nonperturbative solutions for the ghost, gluon and quark propagators as well as first results for…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. S. Fischer , F. Llanes-Estrada , R. Alkofer

We reconstruct ghost and gluon spectral functions in 2+1 flavor QCD with Gaussian process regression. This framework allows us to largely suppress spurious oscillations and other common reconstruction artifacts by specifying generic…

High Energy Physics - Phenomenology · Physics 2022-02-25 Jan Horak , Jan M. Pawlowski , José Rodríguez-Quintero , Jonas Turnwald , Julian M. Urban , Nicolas Wink , Savvas Zafeiropoulos

The quark-gluon vertex in Landau gauge is studied in the quenched approximation using the Sheikholeslami-Wohlert (SW) fermion action with mean-field improvement coefficients in the action and for the quark fields. We see that the form…

High Energy Physics - Phenomenology · Physics 2009-11-07 Jonivar Skullerud , Ayse Kizilersu

We discuss the subtleties concerning the lattice computation of the ghost propagator in linear covariant gauges, and present preliminary numerical results.

High Energy Physics - Lattice · Physics 2018-11-29 Attilio Cucchieri , David Dudal , Tereza Mendes , Orlando Oliveira , Martin Roelfs , Paulo J. Silva

The color diagonal and color antisymmetric ghost propagators slightly above $T_c$ of $N_f=2$ MILC $24^3\times 12$ lattices are measured and compared with zero temperature unquenched $N_f=2+1$ MILC$_c$ $20^3\times 64$ and MILC$_f$…

High Energy Physics - Lattice · Physics 2008-11-26 Sadataka Furui , Hideo Nakajima

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…

High Energy Physics - Phenomenology · Physics 2009-06-25 Christian S. Fischer , Axel Maas , Jan M. Pawlowski

In the present work we discuss certain characteristic features encoded in some of the fundamental QCD Green's functions, whose origin can be traced back to the nonperturbative masslessness of the ghost field, in the Landau gauge.…

High Energy Physics - Phenomenology · Physics 2014-04-23 A. C. Aguilar , D. Binosi , D. Ibañez , J. Papavassiliou

We study the gluon propagator in Landau gauge in the deconfined phase of $SU(2)$ gauge theory. From the long-distance behaviour of correlation functions of temporal and spatial components of the gauge fields we extract electric ($m_e$) and…

High Energy Physics - Lattice · Physics 2009-10-28 Urs M. Heller , ; Frithjof Karsch , Joern Rank

In this paper we construct the Wilson short distance operator product expansion for the gluon, quark and ghost propagators in QCD, including operators of dimension two and three, namely, A^2, m^2, m A^2, \ovl{\psi} \psi and m^3. We compute…

High Energy Physics - Phenomenology · Physics 2010-12-15 K. G. Chetyrkin , A. Maier

A continuum formulation of gauge-fixing resolving the Gribov-Singer ambiguity remains a challenge. Finding a Lagrangian formulation of operational resolutions in numerical lattice calculations, like minimal Landau gauge, would be one…

High Energy Physics - Lattice · Physics 2020-05-06 Axel Maas

The SU(2) gluon propagator in Landau gauge is studied on the lattice. Our gauge fixing procedure employs simulated annealing and Z(2)-flips. It finds higher maxima of the gauge functional compared with those obtained with the standard…

High Energy Physics - Lattice · Physics 2008-11-26 I. L. Bogolubsky , V. G. Bornyakov , G. Burgio , E. -M. Ilgenfritz , M. Müller-Preussker , P. Schemel , V. K. Mitrjushkin
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