English
Related papers

Related papers: Positivity violations in QCD

200 papers

The gluon propagator in the Landau gauge is calculated in quenched QCD on a large lattice (32^3x64) at beta=6.0. In order to assess finite volume and finite lattice spacing artefacts, we also calculate the propagator on a smaller volume for…

High Energy Physics - Lattice · Physics 2007-05-23 D. B. Leinweber , J. I. Skullerud , A. G. Williams

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

Landau gauge longitudinal and transverse gluon propagators are studied in lattice QCD with gauge group $SU(2)$ at varying temperature and quark density. In particular, it is found that the longitudinal propagator decreases with increasing…

High Energy Physics - Lattice · Physics 2021-02-17 V. G. Bornyakov , R. N. Rogalyov

We report on the infrared limit of the quenched lattice Landau gauge gluon and ghost propagators as well as the strong coupling constant computed from large asymmetric lattices. The infrared lattice propagators are compared with the pure…

High Energy Physics - Lattice · Physics 2008-11-26 O. Oliveira , P. J. Silva

The infrared features of Landau gauge QCD are studied by the lattice simulation of $\beta=6.0, 16^4, 24^4, 32^4$ and $\beta=6.4, 32^4, 48^4$. We adopt two definitions of the gauge field; 1) $U-$linear 2) $\log U$ and measured the gluon…

High Energy Physics - Lattice · Physics 2009-11-10 Sadataka Furui , Hideo Nakajima

We establish exactly and uniquely the infrared structure of the full gluon propagator in QCD, not solving explicitly the corresponding dynamical equation of motion. By construction, this structure is an infinite sum over all possible severe…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Gogohia

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

In gauge field theories with asymptotic freedom, the short distance properties of Green's functions can be obtained on the basis of weak coupling perturbation expansions. Within this framework, the large momentum behavior of the structure…

High Energy Physics - Theory · Physics 2016-09-06 Jack Wentao Xu

Recent lattice data have reported an infrared suppressed, positivity violating gluon propagator which is nonvanishing at zero momentum and a ghost propagator which is no longer enhanced. This paper discusses how to obtain analytical results…

High Energy Physics - Theory · Physics 2008-11-26 David Dudal , John Gracey , Silvio Paolo Sorella , Nele Vandersickel , Henri Verschelde

The compatibility of the pure power law infrared solution of QCD and lattice data for the gluon and ghost propagators in Landau gauge is discussed. For the gluon propagator, the lattice data is well described by a pure power law with an…

High Energy Physics - Lattice · Physics 2009-08-05 O. Oliveira , P. 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

Lattice simulations of the QCD correlation functions in the Landau gauge have established two remarkable facts. First, the coupling constant in the gauge sector remains finite and moderate at all scales, suggesting that some kind of…

High Energy Physics - Theory · Physics 2021-12-22 Marcela Peláez , Urko Reinosa , Julien Serreau , Matthieu Tissier , Nicolás Wschebor

In the d=3 gluon mass problem in pure-glue non-Abelian $SU(N)$ gauge theory we pay particular attention to the observed (in Landau gauge) violation of positivity for the spectral function of the gluon propagator. This causes a large bulge…

High Energy Physics - Phenomenology · Physics 2016-02-03 John M. Cornwall

We study the transverse and longitudinal gluon propagators in the Landau-gauge lattice QCD with gauge group $SU(2)$ at nonzero quark chemical potential and zero temperature. We show that both propagators demonstrate substantial dependence…

High Energy Physics - Lattice · Physics 2019-12-19 Vitaly Bornyakov , Andrey Kotov , Alexander Nikolaev , Roman Rogalyov

With the aim of looking for signatures of deconfinement, the poles and the spectral function of the Landau-gauge gluon propagator are investigated at one loop, vanishing spatial momentum and finite temperature within the framework of the…

High Energy Physics - Theory · Physics 2025-11-11 Giorgio Comitini

The lattice Landau gauge gluon propagator at finite temperature is computed including the non-zero Matsubara frequencies. Furthermore, the K\"all\'en-Lehmann representation is inverted and the corresponding spectral density evaluated using…

High Energy Physics - Lattice · Physics 2017-10-04 Paulo J. Silva , Orlando Oliveira , David Dudal , Martin Roelfs

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 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

We study the non-perturbative behavior of two versions of the QCD effective charge, one obtained from the pinch technique gluon self-energy, and one from the ghost-gluon vertex. Despite their distinct theoretical origin, due to a…

High Energy Physics - Phenomenology · Physics 2009-10-29 A. C. Aguilar , D. Binosi , J. Papavassiliou , J. Rodriguez-Quintero

We study analytic structures of the gluon, quark, and ghost propagators in the Landau-gauge QCD and general properties from the existence of unusual singularities. First, we investigate analytic structures of the QCD propagators using the…

High Energy Physics - Theory · Physics 2021-10-27 Yui Hayashi , Kei-Ichi Kondo