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We discuss the gluon propagator in 3- and 4-dimensional Yang-Mills theories in Coulomb gauge and compare it with the corresponding Landau gauge propagator, showing that for both the relevant IR mass scale coincides. We also report…

High Energy Physics - Lattice · Physics 2011-04-04 G. Burgio , M. Quandt , M. Schröck , H. Reinhardt

We present numerical results in SU(2) lattice gauge theory for the instantaneous part of the gluon propagator in Coulomb gauge D_{44, inst} = V_{coul}(R) \delta(t). Data are taken on lattice volumes 24^4 and 28^4 for 7 values of beta in the…

High Energy Physics - Lattice · Physics 2009-11-07 Attilio Cucchieri , Daniel Zwanziger

We consider the effects of the Faddeev-Popov determinant in the Coulomb gauge on the confinement properties of the QCD vacuum. We show that the the determinant is needed to regularize the otherwise divergent functional integrals near the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Adam P. Szczepaniak

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

I present some new results regarding confinement as it appears in Coulomb gauge. It is found that: i) a recently proposed Yang-Mills vacuum wavefunctional in temporal gauge and 2+1 dimensions yields a Coulomb-gauge ghost propagator and…

High Energy Physics - Lattice · Physics 2011-07-14 Jeff Greensite

We present numerical results in SU(2) lattice gauge theory for the space-space and time-time components of the gluon propagator at equal time in the minimal Coulomb gauge. It is found that the equal-time would-be physical 3-dimensionally…

High Energy Physics - Lattice · Physics 2010-01-07 Attilio Cucchieri , Daniel Zwanziger

In Gribov's scenario in Coulomb gauge, confinement of color charge is due to a long-range instantaneous color-Coulomb potential V(R). This may be determined numerically from the instantaneous part of the gluon propagator D_{44, inst} = V(R)…

High Energy Physics - Lattice · Physics 2015-06-25 Attilio Cucchieri , Daniel Zwanziger

We give the results for all the one-loop propagators, including finite parts, in the Coulomb gauge. In finite parts we find new non-rational functions in addition to the single logarithms of the Feynman gauge. Of course, the two gauges must…

High Energy Physics - Theory · Physics 2012-06-04 A. Andraši

We calculate the transverse and time-time components of the instantaneous gluon propagator in Coulomb gauge QCD by using an SU(3) quenched lattice simulation on isotropic and anisotropic lattices. We find that the gluon propagators suffer…

High Energy Physics - Lattice · Physics 2011-06-13 Y. Nakagawa , A. Nakamura , T. Saito , H. Toki

A general expression of the hard thermal loop gluon propagator is given for a variety of abelian gauge fixing conditions (Coulomb gauge, axial gauge, covariant gauge, temporal gauge ...) The current --- current interaction energy, in…

Nuclear Theory · Physics 2022-02-23 Tamas S. Biro

A thorough study of 4-dimensional SU(2) Yang-Mills theory in Coulomb gauge is performed using large scale lattice simulations. The (equal-time) transverse gluon propagator, the ghost form factor d(p) and the Coulomb potential V_{coul} (p) ~…

High Energy Physics - Lattice · Physics 2009-11-10 Kurt Langfeld , Laurent Moyaerts

The ghost propagator and the Coulomb potential are evaluated in Coulomb gauge on the lattice, using an improved gauge fixing scheme which includes the residual symmetry. This setting has been shown to be essential in order to explain the…

High Energy Physics - Theory · Physics 2009-06-25 M. Quandt , G. Burgio , S. Chimchinda , H. Reinhardt

We calculate the transverse and the time-time components of the Coulomb-gauge gluon propagator in SU(3) lattice Yang-Mills theory both on isotropic and anisotropic lattices. The problem of scaling violation observed on the isotropic lattice…

High Energy Physics - Lattice · Physics 2010-11-05 Yoshiyuki Nakagawa , Atsushi Nakamura , Takuya Saito , Hiroshi Toki

Explicit analytical expressions are derived for the gluon propagator in a generic linear covariant $R_\xi$ gauge, by a screened massive expansion for the exact Faddeev-Popov Lagrangian of pure Yang-Mills theory. At one-loop, if the gauge…

High Energy Physics - Phenomenology · Physics 2019-10-16 Fabio Siringo , Giorgio Comitini

We study the long-range behavior of the heavy quark potential in Coulomb gauge using a quenched SU(3) lattice gauge simulation with partial-length Polyakov line correlators. We show that the Coulomb heavy quark potential associated with the…

High Energy Physics - Lattice · Physics 2014-11-17 A. Nakamura , T. Saito

We present results for a numerical study of the ghost propagator in Coulomb gauge whereby lattice results for the spatial gluon propagator are used as input to solving the ghost Dyson-Schwinger equation. We show that in order to solve…

High Energy Physics - Theory · Physics 2011-06-15 P. Watson , H. Reinhardt

We study gluon propagator in Landau gauge with lattice QCD, where we use an improved lattice action. The calculation of gluon propagator is performed on lattices with the lattice spacing from 0.40 fm to 0.24 fm and with the lattice volume…

High Energy Physics - Lattice · Physics 2009-10-31 J. P. Ma

We present a numerical study of the space-space and time-time components of the gluon propagator at equal time in the minimal Coulomb gauge, and of the gluon and ghost propagators in the minimal Landau gauge. This work allows a…

High Energy Physics - Lattice · Physics 2015-06-25 Attilio Cucchieri , Tereza Mendes , Daniel Zwanziger

We report a numerical study of SU(2) lattice gauge theory in the minimal Coulomb gauge at beta = 2.2 and 9 different volumes. After extrapolation to infinite volume, our fit agrees with a lattice discretization of Gribov's formula for the…

High Energy Physics - Lattice · Physics 2009-10-31 Attilio Cucchieri , Daniel Zwanziger

We study electric and magnetic components of the gluon propagators in quark-gluon plasma in terms of center vortices by using a quenched simulation of SU(2) lattice theory. In the Landau gauge, the magnetic components of the propagators are…

High Energy Physics - Lattice · Physics 2015-03-19 M. N. Chernodub , Y. Nakagawa , A. Nakamura , T. Saito , V. I. Zakharov
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