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Related papers: The Gluon Propagator at High Temperature

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The Laplacian gauge is a nonperturbative gauge fixing that reduces to Landau gauge in the asymptotic limit. Like Landau gauge, it respects Lorentz invariance, but it is free of Gribov copies; the gauge fixing is unambiguous. In this paper…

High Energy Physics - Lattice · Physics 2010-03-04 P. O. Bowman , U. M. Heller , D. B. Leinweber , A. G. Williams

We investigate the temperature dependence of the instanton contents of gluon fields, using unquenched lattice QCD and the cooling method. The instanton size parameter deduced from the correlation function decreases from 0.44fm below the…

High Energy Physics - Lattice · Physics 2014-11-17 M. -C. Chu , S. M. Ouellette , S. Schramm , R. Seki

We study numerically the phase structure and the gluon propagator of the SU(2) gauge-Higgs model in two dimensions. First, we calculate gauge-invariant quantities, in particular the static potential from Wilson Loop, the W propagator, and…

High Energy Physics - Lattice · Physics 2015-06-18 Shinya Gongyo , Daniel Zwanziger

We derive some exact bounds on the free energy W(J) in an SU(N) gauge theory, where J_mu^b is a source for the gluon field A_mu^b in the minimal Landau gauge, and W(J) is the generating functional of connected correlators, exp W(J) =…

High Energy Physics - Lattice · Physics 2014-04-24 Axel Maas , Daniel Zwanziger

We propose to investigate infrared properties of gluon and ghost propagators related to the so-called Gribov-Zwanziger confinement scenario, originally formulated for Landau and Coulomb gauges, for other gauges as well. We present results…

High Energy Physics - Lattice · Physics 2008-09-24 Tereza Mendes , Attilio Cucchieri , Axel Maas , Antonio Mihara

Covariant $R_\xi$ gauge fixing is notoriously difficult for large lattice volumes, large $\xi$ and small $N_c$. We thoroughly test different convergence techniques, which allows the gauge fixing of lattice configurations with a total volume…

High Energy Physics - Lattice · Physics 2015-09-23 Pedro Bicudo , Daniele Binosi , Nuno Cardoso , Orlando Oliveira , Paulo J. Silva

In previous works, we have constructed a refined version of the Gribov-Zwanziger action in 4 dimensions, by taking into account a novel dynamical effect. In this paper, we explore the 3-dimensional case. Analogously as in 4 dimensions, we…

High Energy Physics - Theory · Physics 2008-12-30 D. Dudal , J. A. Gracey , S. P. Sorella , N. Vandersickel , H. Verschelde

We present non-perturbative correlation functions in Landau-gauge Yang-Mills theory at finite temperature. The results are obtained from the functional renormalisation group within a self-consistent approximation scheme. In particular, we…

High Energy Physics - Phenomenology · Physics 2018-03-20 Anton K. Cyrol , Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

The calculation of the Landau gauge gluon propagator performed in Coimbra using lattice QCD simulations is reviewed. Particular attention is given to the behavior of the gluon propagator in the infrared region and the value of $D(0)$. In…

High Energy Physics - Lattice · Physics 2015-03-18 O. Oliveira , P. J. Silva , P. Bicudo

Recent numerical studies of the gluon propagator in the minimal Landau and Coulomb gauges in space-time dimension 2, 3, and 4 pose a challenge to the Gribov confinement scenario. We prove, without approximation, that for these gauges, the…

High Energy Physics - Phenomenology · Physics 2013-05-01 Daniel Zwanziger

We study the scaling behavior and finite (physical) volume effects as well as the Gribov copy dependence of the SU(2) Landau gauge gluon propagator on the lattice. Our physical lattice sizes range from $(3.0 \mathrm{fm})^4$ to $(7.3…

High Energy Physics - Lattice · Physics 2010-04-06 V. G. Bornyakov , V. K. Mitrjushkin , M. Müller-Preussker

A closed system of equations for the propagators of Landau gauge QCD is obtained in a truncation scheme for their Dyson-Schwinger equations which implements the Slavnov-Taylor identities for the 3-point vertex functions while neglecting…

High Energy Physics - Phenomenology · Physics 2007-05-23 Reinhard Alkofer , Steven Ahlig , Lorenz von Smekal

We summarize the current status of our numerical results for the gluon and ghost propagators and for the Kugo-Ojima confinement parameter in quenched SU(3) lattice Landau gauge theory. The data for the propagators are compared to our…

High Energy Physics - Lattice · Physics 2009-09-29 A. Sternbeck , E. -M. Ilgenfritz , M. Müller-Preussker , A. Schiller , I. L. Bogolubsky

We study gauge boson propagators in the symmetric and symmetry broken phases of the 3-d, $SU(2)$ gauge-Higgs model. Correlation functions for the gauge fields are calculated in Landau gauge. They are found to decay exponentially at large…

High Energy Physics - Lattice · Physics 2009-10-28 F. Karsch , T. Neuhaus , A. Patkós , J. Rank

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 investigate gluon spectral functions at finite temperature in Landau gauge, based on a subset of lattice QCD ensembles with $N_f=2+1+1$ dynamical twisted mass quarks flavors, generated by the tmfT collaboration. Our study uses a novel…

High Energy Physics - Lattice · Physics 2018-04-04 Ernst-Michael Ilgenfritz , Jan M. Pawlowski , Alexander Rothkopf , Anton Trunin

A truncation scheme for the Dyson-Schwinger equations of QCD in Landau gauge is presented which implements the Slavnov-Taylor identities for the 3-point vertex functions. Neglecting contributions from 4-point correlations such as the…

High Energy Physics - Phenomenology · Physics 2011-04-15 Reinhard Alkofer , Steven Ahlig , Lorenz von Smekal

We employ Pad\'e approximants in the study of the analytic structure of the four-dimensional $SU(2)$ Landau-gauge gluon and ghost propagators in the infrared regime. The approximants, which are model independent, serve as fitting functions…

High Energy Physics - Lattice · Physics 2023-03-01 Diogo Boito , Attilio Cucchieri , Cristiane Y. London , Tereza Mendes

The lowest dimensional gluon condensate $G_2$ is analyzed at finite temperature and chemical potential using a holographic model of QCD with conformal invariance broken by a background dilaton. Starting from the free energy of the model,…

High Energy Physics - Phenomenology · Physics 2014-02-19 Pietro Colangelo , Floriana Giannuzzi , Stefano Nicotri , Fen Zuo

Lattice measurements of the Pisa group (A.Di Giacomo et al., hep-lat/9603018) are analyzed numerically and parameters of correlation functions are extracted from the data - both below and above deconfinement temperature Tc. Gluon condensate…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. S. Kuzmenko , Yu. A. Simonov