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We employ nonperturbative flow equations for an investigation of the effective action in Yang-Mills theories. We compute the effective action $\Gamma[B]$ for constant color magnetic fields $B$ and examine Savvidy's conjecture of an unstable…

High Energy Physics - Theory · Physics 2009-10-30 M. Reuter , C. Wetterich

We report preliminary results of our ongoing lattice computation of the Landau gauge quark propagator and the soft gluon limit of the quark-gluon vertex with 2 flavors of dynamical O(a) improved Wilson fermions.

High Energy Physics - Lattice · Physics 2018-01-09 Orlando Oliveira , Ayse Kızılersu , Paulo J. Silva , Jon-Ivar Skullerud , Andre Sternbeck , Anthony G. Williams

We present a symmetry-based method for obtaining suitable tensor descriptions of lattice vertex functions without spinor components. The approach is based on finding the polynomial functions of vertex momenta, which satisfy the appropriate…

High Energy Physics - Lattice · Physics 2019-05-03 Milan Vujinovic

We compute the flavorless running coupling constant of QCD from the three gluon vertex in the (regularisation independent) momentum subtraction renormalisation scheme. This is performed on the lattice with high statistics. The expected…

High Energy Physics - Phenomenology · Physics 2010-03-19 Ph. Boucaud , J. P. Leroy , J. Micheli , O. Pène , C. Roiesnel

Several analytic approaches predict for SU(N_c) Yang-Mills theories in Landau gauge an enhanced ghost propagator G(p^2) and a suppressed gluon propagator D(p^2) at small momenta. This prediction applies to two, three and four space-time…

High Energy Physics - Lattice · Physics 2011-05-05 Attilio Cucchieri , Tereza Mendes

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

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 a method to treat the three-gluon self-interaction vertex in the position space in D = 4 - 2e dimensions. As an example, we calculate a two-loop contribution to auxiliary Lcc vertex in the Landau gauge which contains the…

High Energy Physics - Theory · Physics 2008-11-26 Gorazd Cvetic , Igor Kondrashuk

The fermion propagator in an arbitrary covariant gauge can be obtained from the Landau gauge result via a Landau-Khalatnikov-Fradkin transformation. This transformation can be written in a practically useful form in both configuration and…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. Bashir , A. Raya , S. Sanchez-Madrigal , C. D. Roberts

This PhD dissertation is devoted to a non-perturbative study of QCD correlators. The main tool that we use is lattice QCD. We concentrated our efforts on the study of the main correlators of the pure Yang - Mills theory in the Landau gauge,…

High Energy Physics - Lattice · Physics 2007-05-23 A. Y. Lokhov

We present higher loop results for the gluon and ghost propagator in Landau gauge on the lattice calculated in numerical stochastic perturbation theory. We make predictions for the perturbative content of those propagators as function of…

High Energy Physics - Lattice · Physics 2010-02-17 F. Di Renzo , E. -M. Ilgenfritz , H. Perlt , A. Schiller , C. Torrero

We study the gluon and ghost propagators of lattice Landau gauge in the strong-coupling limit beta=0 in pure SU(2) lattice gauge theory to find evidence of the conformal infrared behavior of these propagators as predicted by a variety of…

High Energy Physics - Lattice · Physics 2014-11-18 Andre Sternbeck , Lorenz von Smekal

Landau gauge gluon propagators are studied numerically in the SU(3) gluodynamics as well as in the full QCD with the number of flavors $n_F=2$ using efficient gauge fixing technique. We compare these propagators at temperatures very close…

High Energy Physics - Lattice · Physics 2015-05-27 V. G. Bornyakov , V. K. Mitrjushkin

We extend a previous improved action study of the Landau gauge gluon propagator, by using a variety of lattices with spacings from $a = 0.17$ to 0.41 fm, to more fully explore finite volume and discretization effects. We also extend a…

High Energy Physics - Lattice · Physics 2010-03-04 F. D. R. Bonnet , P. O. Bowman , D. B. Leinweber , A. G. Williams , J. M. Zanotti

The results of different non-perturbative studies agree on a power law as the infrared behavior of the Landau gauge gluon propagator. This propagator violates positivity and thus indicates the absence of the transverse gluons from the…

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

We present data for the gluon and quark propagators computed in the standard lattice Landau's gauge and for three values of the covariant gauge-fixing parameter lambda=0,8,16. Our results are obtained using the SU(3) Wilson action in the…

High Energy Physics - Lattice · Physics 2015-06-25 L. Giusti , M. L. Paciello , S. Petrarca , B. Taglienti , N. Tantalo

Lattice simulations along with studies in continuum QCD indicate that non-perturbative quantum fluctuations lead to an infrared regularisation of the gluon propagator in covariant gauges in the form of an effective mass-like behaviour. In…

High Energy Physics - Phenomenology · Physics 2022-01-25 Jan Horak , Friederike Ihssen , Joannis Papavassiliou , Jan M. Pawlowski , Axel Weber , Christof Wetterich

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

The static longitudinal and transverse gluon propagators in the Landau gauge are studied in $2+1$ lattice QCD with nonzero isospin chemical potential $\mu_I$. Parameterization of the momentum dependence of the propagators is provided for…

High Energy Physics - Lattice · Physics 2021-09-21 V. G. Bornyakov , A. A. Nikolaev , R. N. Rogalyov , A. S. Terentev

The compatibility of the results from the Gribov-Zwanziger tree level prediction and lattice simulations, using large statistical ensembles, for the Landau gauge gluon propagator are investigated, thereby complementing earlier work using…

High Energy Physics - Lattice · Physics 2018-10-17 David Dudal , Orlando Oliveira , Paulo J. Silva