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Related papers: Ghost condensation on the lattice

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In recent years, the Gribov-Zwanziger action was refined by taking into account certain dimension 2 condensates. In this fashion, one succeeded in bringing the gluon and the ghost propagator obtained from the GZ model in qualitative and…

High Energy Physics - Theory · Physics 2013-05-29 D. Dudal , S. P. Sorella , N. Vandersickel

Using the operator product expansion we show that the $O(1/p^2)$ correction to the perturbative expressions for the gluon propagator and the strong coupling constant resulting from lattice simulations in the Landau gauge are due to a…

High Energy Physics - Phenomenology · Physics 2010-03-19 Ph. Boucaud , A. Le Yaouanc , J. P. Leroy , J. Micheli , O. Pène , J. Rodríguez-Quintero

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 gauge-boson, ghost and fermion propagators as well as the gauge-boson--ghost vertex function are studied for SU(N), Sp(2N) and SO(N) gauge groups. We solve a set of coupled Dyson-Schwinger equations in Landau gauge for a variable,…

High Energy Physics - Phenomenology · Physics 2024-03-22 Fabian Zierler , Reinhard Alkofer

We present here our results on extracting Wilson coefficients from different quantities such as ghost and gluon propagators which are calculated by means of Lattice QCD. The results confirm the validity of our method for the calculation of…

The product of the gluon dressing function and the square of the ghost dressing function in the Landau gauge can be regarded to represent, apart from the inverse power corrections 1/Q^{2n}, a nonperturbative generalization A(Q^2) of the…

High Energy Physics - Phenomenology · Physics 2019-04-02 Cesar Ayala , Gorazd Cvetic , Reinhart Kogerler , Igor Kondrashuk

In previous works, we have shown that the Gribov-Zwanziger action, which implements the restriction of the domain of integration in the path integral to the Gribov region, generates extra dynamical effects which influence the infrared…

High Energy Physics - Theory · Physics 2009-10-06 D. Dudal , S. P. Sorella , N. Vandersickel , H. Verschelde

We study the Landau-gauge Gribov ghost form-factor sigma(p^2) for SU(N) Yang-Mills theories in the d-dimensional case. We find a qualitatively different behavior for d=3,4 w.r.t. d=2. In particular, considering any (sufficiently regular)…

High Energy Physics - Theory · Physics 2013-05-30 Attilio Cucchieri , David Dudal , Nele Vandersickel

We use recent lattice data on the gluon and ghost propagators, as well as the Kugo-Ojima function, in order to extract the non-perturbative behavior of two particular definitions of the QCD effective charge, one based on the pinch technique…

High Energy Physics - Phenomenology · Physics 2014-11-20 A. C. Aguilar , D. Binosi , J. Papavassiliou

The `triviality' of $\Phi^4_4$ has been traditionally interpreted within perturbation theory where the prediction for the Higgs boson mass depends on the magnitude of the ultraviolet cutoff $\Lambda$. This approach crucially assumes that…

High Energy Physics - Lattice · Physics 2009-11-10 P. Cea , M. Consoli , L. Cosmai

We present a first systematic study of $I=1/2$ proton-$\Lambda$ ($p$-$\Lambda$) scattering from lattice QCD, using seven sets of $(2+1)$-flavor lattice ensembles with pion masses spanning 135-317 MeV and three lattice spacings with…

High Energy Physics - Lattice · Physics 2026-03-09 Hang Liu , Liuming Liu , Jin-Xin Tan , Wei Wang , Haobo Yan , Qian-Teng Zhu

The effect of the Gribov horizon in Euclidean $SU(2)$ gauge theory is studied. Gauge fields on the Gribov horizon yield zero modes of ghosts and anti-ghosts. We show these zero modes can produce additional ghost interactions, and the Landau…

High Energy Physics - Theory · Physics 2019-12-06 Hirohumi Sawayanagi

Following a recent proposal by Cooper and Zwanziger we investigate via $SU(2)$ lattice simulations the effect on the Coulomb gauge propagators and on the Gribov-Zwanziger confinement mechanism of selecting the Gribov copy with the smallest…

High Energy Physics - Lattice · Physics 2017-01-18 Giuseppe Burgio , Markus Quandt , Hugo Reinhardt , Hannes Vogt

The Landau gauge gluon propagator for the pure gauge theory is evaluated on a 32^3x64 lattice with a physical volume of (3.35^3x6.7)fm^4. Comparison with two smaller lattices at different lattice spacings allows an assessment of finite…

High Energy Physics - Lattice · Physics 2014-11-17 D. B. Leinweber , J. I. Skullerud , A. G. Williams , C. Parrinello

We compute the dimension-2 condensate, <A^2>, and the dimension-4 mixed condensate, <\bar q A q>, from the recent quenched lattice results for the quark propagator in the Landau gauge. We fit the lattice data to the Operator Product…

High Energy Physics - Phenomenology · Physics 2009-11-10 Enrique Ruiz Arriola , Patrick Oswald Bowman , Wojciech Broniowski

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 review recent one and two loop MSbar Landau gauge calculations using the Gribov-Zwanziger Lagrangian. The behaviour of the gluon and Faddeev-Popov ghost propagators as well as the renormalization group invariant effective coupling…

High Energy Physics - Theory · Physics 2008-11-26 J. A. Gracey

The Refined Gribov-Zwanziger (RGZ) action in the Landau gauge provides a local and renormalizable framework to account for the existence of infinitesimal Gribov copies in the path integral together with other relevant infrared effects such…

High Energy Physics - Theory · Physics 2024-05-14 Gustavo P. de Brito , Antonio D. Pereira

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

The gluon propagator is calculated in quenched QCD for two different lattice sizes (16^3x48 and 32^3x64) at beta=6.0. The volume dependence of the propagator in Landau gauge is studied. The smaller lattice is instrumental in revealing…

High Energy Physics - Lattice · Physics 2009-12-30 D. B. Leinweber , C. Parrinello , J. I. Skullerud , A. G. Williams