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We present novel results for the three-gluon vertex, obtained from an extensive quenched lattice simulation in the Landau gauge. The simulation evaluates the transversely projected vertex, spanned on a special tensorial basis, whose form…

High Energy Physics - Phenomenology · Physics 2023-02-22 F. Pinto-Gómez , F. De Soto , M. N. Ferreira , J. Papavassiliou , J. Rodríguez-Quintero

We define and evaluate on the lattice the amputated 3-gluon vertex function in momentum space. We give numerical results for $16^3 \times 40$ and $24^3 \times 40$ quenched lattices at $\beta=6.0$. A good numerical signal is obtained, at the…

High Energy Physics - Lattice · Physics 2008-12-24 C. Parrinello

We compute the Euclidean correlators of the stress tensor in pure $SU(3)$ Yang-Mills theory at finite temperature at zero and finite spatial momenta with lattice simulations. We perform continuum extrapolations using $N_\tau=10,12,16,20$…

We study the quark-gluon vertex in the limit of vanishing gluon momentum using lattice QCD with 2 flavors of O(a) improved Wilson fermions, for several lattice spacings and quark masses. We find that all three form factors in this…

High Energy Physics - Lattice · Physics 2021-07-07 Ayşe Kızılersü , Orlando Oliveira , Paulo J. Silva , Jon-Ivar Skullerud , André Sternbeck

We study large N SU(N) Yang-Mills theory in three and four dimensions using a one-parameter family of supergravity models which originate from non-extremal rotating D-branes. We show explicitly that varying this "angular momentum" parameter…

High Energy Physics - Theory · Physics 2009-09-17 Csaba Csaki , Yaron Oz , Jorge Russo , John Terning

We consider the running coupling from the four-gluon vertex in Landau gauge, SU($N_c$) Yang-Mills theory as given by a combination of dressing functions of the vertex and the gluon propagator. We determine these functions numerically from a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christian Kellermann , Christian S. Fischer

Vertices describe the interactions between the fundamental degrees of freedom, and are therefore of vital importance in many ab-initio descriptions of field theory, especially using functional methods. To this end, we present the first…

High Energy Physics - Lattice · Physics 2014-10-01 Leonard Fister , Axel Maas

We investigate the Dyson-Schwinger equations for the gluon and ghost propagators and the ghost-gluon vertex of Landau-gauge gluodynamics in two dimensions. While this simplifies some aspects of the calculations as compared to three and four…

High Energy Physics - Theory · Physics 2012-11-20 Markus Q. Huber , Axel Maas , Lorenz von Smekal

We study the self-consistency problem of the generalized Feynman rule (nonperturbatively modified vertex of zeroth perturbative order) for the 4-gluon vertex function in the framework of an extended perturbation scheme accounting for…

High Energy Physics - Theory · Physics 2009-10-31 L. Driesen , M. Stingl

In this paper we test an approximate method that is often used in lattice studies of the Landau gauge three-gluon vertex. The approximation consists in describing the lattice correlator with tensor bases from the continuum theory. With the…

High Energy Physics - Lattice · Physics 2019-02-13 Milan Vujinovic , Tereza Mendes

We study dynamical mass generation in pure Yang-Mills theory and report on a recently developed ansatz that exactly solves the tower of Dyson-Schwinger equations in Landau gauge at low Euclidean momentum, featuring enhanced gluon-gluon…

We report on preliminary results for the triple-gluon and the quark-gluon vertex in Landau gauge. Our results are based on two-flavor and quenched lattice QCD calculations for different quark masses, lattice spacings and volumes. We discuss…

In SU(3) lattice QCD, we study diagonal and off-diagonal gluon propagators in the maximally Abelian (MA) gauge with U(1)$_3 \timesU(1)_8$ Landau gauge fixing. These propagators are studied both in the coordinate space and in the momentum…

High Energy Physics - Lattice · Physics 2013-05-01 Shinya Gongyo , Hideo Suganuma

The Z(N) dependence of the pure Yang-Mills gluon propagator, in the Landau gauge, is investigated at finite temperature for N=3. Special attention will be given to the behaviour near the critical temperature $T_c$. Our simulations show a…

High Energy Physics - Lattice · Physics 2014-11-04 Orlando Oliveira , Paulo J. Silva

The behavior of the Landau gauge gluon and ghost propagators is studied in pure SU(3) gauge theory at non-zero temperature on the lattice. We concentrate on the momentum range [0.6, 2.0] GeV. For the longitudinal as well as for the…

High Energy Physics - Lattice · Physics 2012-02-14 R. Aouane , V. Bornyakov , E. -M. Ilgenfritz , V. Mitrjushkin , M. Müller-Preussker , A. Sternbeck

We present rigorous upper and lower bounds for the zero-momentum gluon propagator D(0) of Yang-Mills theories in terms of the average value of the gluon field. This allows us to perform a controlled extrapolation of lattice data to infinite…

High Energy Physics - Lattice · Physics 2008-11-26 A. Cucchieri , T. Mendes

In this article we study the unquenched three-gluon and ghost-gluon vertex in all momentum range going from the ultraviolet to the infrared regime using the Curci-Ferrari model at one-loop in Landau gauge as an extension of the results…

High Energy Physics - Theory · Physics 2022-06-28 Felipe Figueroa , Marcela Peláez

We report on new results on the infrared behaviour of the three-gluon vertex in quenched Quantum Chormodynamics, obtained from large-volume lattice simulations. The main focus of our study is the appearance of the characteristic infrared…

High Energy Physics - Phenomenology · Physics 2016-09-07 A. Athenodorou , D. Binosi , Ph. Boucaud , F. De Soto , J. Papavassiliou , J. Rodriguez-Quintero , S. Zafeiropoulos

We investigate propagators in Lorentz (or Landau) gauge by Monte Carlo simulations. In order to be able to compare with perturbative calculations we use large $\beta$ values. There the breaking of the Z(2) symmetry turns out to be important…

High Energy Physics - Lattice · Physics 2009-10-31 G. Damm , W. Kerler , V. K. Mitrjushkin

We calculate the equal-time transverse gluon propagator in Coulomb gauge QCD using a SU(3) quenched lattice gauge simulation on large lattices, up to 11 [fm$^4$]. We find that the equal-time gluon propagator shows scaling violation; namely,…

High Energy Physics - Lattice · Physics 2009-06-25 Y. Nakagawa , A. Nakamura , T. Saito , H. Toki