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The static color-Coulomb potential is calculated as the solution of a non-linear integral equation. This equation has been derived recently as a self-consistency condition which arises in the Coulomb Hamiltonian formulation of lattice gauge…

高能物理 - 理论 · 物理学 2009-10-30 Attilio Cucchieri , Daniel Zwanziger

We study quark confinement physics using lattice QCD. In the maximally abelian (MA) gauge, the off-diagonal gluon amplitude is strongly suppressed, and then the off-diagonal gluon phase shows strong randomness, which leads to a large…

高能物理 - 格点 · 物理学 2007-05-23 H. Suganuma , K. Amemiya , H. Ichie , H. Matsufuru , Y. Nemoto , T. T. Takahashi

A new gauge fixing that imposes the U(1) real and quaternion real condition on the correlator of domain wall fermion on the left wall and right wall is proposed. The method is applied to the calculation of the mass function, the QCD…

高能物理 - 格点 · 物理学 2010-11-05 Sadataka Furui

A quark confinement potential is derived from QCD Lagrangial under the two assumptions in the energy region relevant to quark confinement. The possibility of perturbation in QCD is assumed, and the momentum of the gluon transfered by the…

核理论 · 物理学 2007-05-23 Yongkyu Ko

A new approach to the non-perturbative regime of QCD is proposed by introducing a (non-hermitian) field $B$ related to the usual gluon field $A$ by $B_\mu$ = $(1+ \sigma \partial_m) A_\mu$ where $m$ goes to zero after differentiation, and…

高能物理 - 唯象学 · 物理学 2007-05-23 A. N. Mitra

The infrared behaviour of the gluon and ghost propagators in Landau gauge QCD is reviewed. The Kugo-Ojima confinement criterion and the Gribov-Zwanziger horizon condition result from quite general properties of the ghost Dyson-Schwinger…

高能物理 - 唯象学 · 物理学 2007-05-23 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

The Gribov--Zwanziger scenario attributes the phenomenon of confinement to the instantaneous interaction term in the QCD Hamiltonian in the Coulomb gauge. For a static quark-antiquark pair, it leads to a potential energy that increases…

We review the Coulomb gauge in QCD and report some recent results. The minimal Coulomb gauge is defined and the fundamental modular region, a region without Gribov copies, is described. The Coulomb gauge action is expressed in terms of the…

高能物理 - 理论 · 物理学 2008-11-26 Daniel Zwanziger

Based on the dual superconductor picture, we study the confinement phenomena systematically, using the lattice QCD, the monopole-current dynamics and the dual Ginzburg-Landau (DGL) theory. (1) We study the origin of abelian dominance for…

高能物理 - 格点 · 物理学 2007-05-23 Hiroko Ichie , Hideo Suganuma

We calculate the Coulomb ghost propagator G(|p|) and the static Coulomb potential V_C(|r|) for SU(2) Yang-Mills theory on the lattice. In view of possible scaling violations related to deviations from the Hamiltonian limit we use…

高能物理 - 格点 · 物理学 2015-06-05 G. Burgio , M. Quandt , H. Reinhardt

We show that the low-momentum behavior of the lattice Landau-gauge gluon and ghost propagators is sensitive to the lowest non-trivial eigenvalue (\lambda_1) of the Faddeev-Popov operator. If the gauge fixing favors Gribov copies with small…

高能物理 - 格点 · 物理学 2013-09-30 Andre Sternbeck , Michael Müller-Preussker

Simulations of SU(2) lattice gauge theory are used to establish a relation between the IR properties of Green functions and confinement. Using Landau gauge where the gauge configurations are restricted to the first Gribov regime, results on…

高能物理 - 理论 · 物理学 2017-08-23 K. Langfeld , J. C. R. Bloch , A. Cucchieri , J. Gattnar , T. Mendes , H. Reinhardt

I report on recent results obtained within the Hamiltonian approach to QCD in Coulomb gauge. Furthermore this approach is compared to recent lattice data, which were obtained by an alternative gauge fixing method and which show an improved…

高能物理 - 理论 · 物理学 2017-06-12 H. Reinhardt , G. Burgio , D. Campagnari , E. Ebadati , J. Heffner , M. Quandt , P. Vastag , H. Vogt

The basic properties of the confinement mechanism in QCD -- the temperature dependence of the spatial and temporal string tensions ($\sigma_s(T)$ and $\sigma_E(T)$) -- are studied in the framework of the Field Correlator Method (FCM). It is…

高能物理 - 唯象学 · 物理学 2024-08-26 N. O. Agasian , Z. V. Khaidukov , M. S. Lukashov , Yu. A. Simonov

We investigate different aspects of lattice QCD in Landau gauge using Monte Carlo simulations. In particular, we focus on the low momentum behavior of gluon and ghost propagators. The gauge group is SU(3). Different systematic effects on…

高能物理 - 格点 · 物理学 2007-05-23 Andre Sternbeck

It is known that Noncommutative QED (NCQED) exhibits Gribov ambiguities in the Landau gauge. These ambiguities are related to zero modes of the Faddeev-Popov operator and arise in the ghost propagator when it has a pole. In this work, we…

高能物理 - 理论 · 物理学 2021-12-06 Ozório Holanda , Marcelo S. Guimaraes , Luigi Rosa , Patrizia Vitale

The theory of confinement based on the stochastic field mechanism, known as the Field Corrleator Method (FCM) is discussed in detail. Experimental and lattice data have accumulated a vast amount of material on the properties of confinement…

高能物理 - 唯象学 · 物理学 2019-04-03 Yu. A. Simonov

A confining quantum chromodynamics (QCD) model is formulated on the basis of a new general Yang-Mills $SU_3$ symmetry. The general Yang-Mills transformations involve arbitrary vector gauge functions $\omega_\mu(x)$ and Hamilton's…

综合物理 · 物理学 2019-11-26 Jong-Ping Hsu

The Kugo-Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators in Landau gauge QCD are reviewed. The realization of this confinement criterion (which in Landau gauge relates to Zwanziger's…

高能物理 - 唯象学 · 物理学 2017-08-23 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

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…

高能物理 - 格点 · 物理学 2010-01-07 Attilio Cucchieri , Daniel Zwanziger