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Topological confinement by center vortices does not immediately explain either a minimum-area law for non-planar Wilson loops or the L\"uscher term. I conjecture that both a minimal-area law and a L\"uscher term arise in a confinement model…

高能物理 - 唯象学 · 物理学 2011-07-14 John M. Cornwall

In this talk we report on a recent lattice investigation of the Landau gauge gluon and ghost propagators in pure SU(3) lattice gauge theory with a special emphasis on the Gribov copy problem. In the (infrared) region of momenta $q^2 \le 0.3…

高能物理 - 格点 · 物理学 2009-11-11 A. Sternbeck , E. -M. Ilgenfritz , M. Müller-Preussker , A. Schiller

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…

高能物理 - 理论 · 物理学 2008-11-26 David Dudal , John Gracey , Silvio Paolo Sorella , Nele Vandersickel , Henri Verschelde

A continuum formulation of gauge-fixing resolving the Gribov-Singer ambiguity remains a challenge. Finding a Lagrangian formulation of operational resolutions in numerical lattice calculations, like minimal Landau gauge, would be one…

高能物理 - 格点 · 物理学 2020-05-06 Axel Maas

In this talk we review some recent results on the infrared properties of the gluon and ghost propagators in pure Yang-Mills theories. These results are obtained from the corresponding Schwinger-Dyson equation formulated in a special…

高能物理 - 唯象学 · 物理学 2010-12-15 Arlene C. Aguilar

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…

高能物理 - 格点 · 物理学 2011-07-14 Jeff Greensite

We study the genuine non-perturbative corrections to the Landau gauge ghost-gluon vertex in terms of the non-vanishing dimension-two gluon condensate, and prove these corrections to give account of current SU(2) lattice data for the vertex…

高能物理 - 唯象学 · 物理学 2011-12-21 J. Rodríguez-Quintero

The infrared behaviour of Landau gauge QCD vertex functions is investigated employing a skeleton expansion of the Dyson-Schwinger and Renormalization Group equations. Results for the ghost-gluon, three-gluon, four-gluon and quark-gluon…

高能物理 - 唯象学 · 物理学 2008-11-26 R. Alkofer , C. S. Fischer , F. Llanes-Estrada , K. Schwenzer

Correlation functions are important probes for the behavior of quantum field theories. Already at tree-level, the Refined Gribov Zwanziger (RGZ) effective action for Yang-Mills theories provides a good approximation for the gluon…

高能物理 - 唯象学 · 物理学 2024-05-28 Nahuel Barrios , Marcelo S. Guimaraes , Bruno W. Mintz , Letícia F. Palhares , Marcela Peláez

The properties of elementary particles are encoded in their respective propagators and interaction vertices. For a SU(2) gauge theory coupled to a doublet of fundamental complex scalars these propagators are determined in both the Higgs…

高能物理 - 格点 · 物理学 2011-03-03 Axel Maas

We discuss the current state of what is known non-perturbatively about the gluon propagator in QCD, with emphasis on the information coming from lattice simulations. We review the specification of the lattice Landau gauge and the procedure…

高能物理 - 格点 · 物理学 2015-06-25 Jeffrey E. Mandula

On the lattice we study the gauge boson propagator of three dimensional compact QED in Landau gauge at zero and non-zero temperature. The non-perturbative effects are taken into account by the generation of a mass, by an anomalous dimension…

高能物理 - 格点 · 物理学 2009-11-07 M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

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…

高能物理 - 格点 · 物理学 2011-04-04 G. Burgio , M. Quandt , M. Schröck , H. Reinhardt

We performed lattice Landau gauge QCD simulation on \beta=6.0, 16^4, 24^4, 32^4 and \beta=6.4, 32^4, 48^4 and 56^4 by adopting the gauge fixing that minimizes the norm of the gauge field, and measured the running coupling by using the gluon…

高能物理 - 格点 · 物理学 2013-05-29 Sadataka Furui , Hideo Nakajima

We study the dominant non-perturbative power corrections to the ghost and gluon propagators in Landau gauge pure Yang-Mills theory using OPE and lattice simulations. The leading order Wilson coefficients are proven to be the same for both…

高能物理 - 格点 · 物理学 2010-03-19 Ph. Boucaud , J. P. Leroy , A. Le Yaouanc , A. Y. Lokhov , J. Micheli , O. Pene , J. Rodriguez-Quintero , C. Roiesnel

We study the ultraviolet behaviour of the ghost and gluon propagators in quenched QCD using lattice simulations. Extrapolation of the lattice data towards the continuum allows to use perturbation theory to extract $\Lambda_{\text{QCD}}$ -…

高能物理 - 格点 · 物理学 2007-05-23 A. Y. Lokhov , C. Roiesnel

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…

高能物理 - 格点 · 物理学 2008-11-26 O. Oliveira , P. J. Silva

We show that in the lattice Hamiltonian limit all Coulomb gauge propagators are consistent with the Gribov-Zwanziger confinement mechanism, with an IR enhanced effective energy for quarks and gluons and a diverging ghost form factor…

高能物理 - 格点 · 物理学 2013-01-17 G. Burgio , M. Quandt , H. Reinhardt , M. Schröck

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…

高能物理 - 格点 · 物理学 2009-11-07 Attilio Cucchieri , Daniel Zwanziger

We study the low-momentum ghost propagator Dyson-Schwinger equation (DSE) in Landau gauge, assuming for the truncation a constant ghost-gluon vertex, as it is extensively done, and a simple model for a massive gluon propagator. Then,…

高能物理 - 唯象学 · 物理学 2016-08-14 Ph. Boucaud , M. E. Gómez , J. P. Leroy , A. Le Yaouanc , J. Micheli , O. Pène , J. Rodríguez-Quintero