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The static three-quark (3Q) potential is measured in the SU(3) lattice QCD with $12^3 \times 24$ and $\beta=5.7$ at the quenched level. From the 3Q Wilson loop, the 3Q ground-state potential $V_{\rm 3Q}$ is extracted using the smearing…

High Energy Physics - Lattice · Physics 2008-11-26 T. T. Takahashi , H. Matsufuru , Y. Nemoto , H. Suganuma

Propagation of the heavy quark in the field of a static antiquark source is studied in the framework of effective Dirac equation. The model of QCD vacuum is described by bilocal gluonic correlators. In the heavy quark limit the effective…

High Energy Physics - Phenomenology · Physics 2009-10-30 Yu. S. Kalashnikova , A. V. Nefediev

In the heavy quark limit of Coulomb gauge QCD and by truncating the Yang-Mills sector to include only dressed two-point functions, an analytic nonperturbative solution to the Faddeev equation for three-quark bound states in the case of…

High Energy Physics - Phenomenology · Physics 2011-02-02 C. Popovici , P. Watson , H. Reinhardt

We consider the heavy quark limit of Coulomb gauge QCD, with the truncation of the Yang-Mills sector to include only (dressed) two-point functions. We find that the rainbow-ladder approximation to the gap and Bethe-Salpeter equations is…

High Energy Physics - Phenomenology · Physics 2011-06-15 Carina Popovici , Peter Watson , Hugo Reinhardt

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…

High Energy Physics - Lattice · Physics 2007-05-23 H. Suganuma , K. Amemiya , H. Ichie , H. Matsufuru , Y. Nemoto , T. T. Takahashi

We investigate the equal-time (static) quark propagator in Coulomb gauge within the Hamiltonian approach to QCD. We use a non-Gaussian vacuum wave functional which includes the coupling of the quarks to the spatial gluons. The expectation…

High Energy Physics - Phenomenology · Physics 2020-01-08 Davide Campagnari , Hugo Reinhardt

We formulate a new framework in lattice QCD to study the relevant energy scale of QCD phenomena. By considering the Fourier transformation of link variable, we can investigate the intrinsic energy scale of a physical quantity…

High Energy Physics - Lattice · Physics 2009-01-09 Arata Yamamoto , Hideo Suganuma

The heavy quark potential and particularly the one proposed by Richardson to incorporate both asymptotic freedom and linear confinement is analyzed in terms of a generalized Borel Transform recently proposed. We were able to obtain, in the…

High Energy Physics - Phenomenology · Physics 2016-08-16 L. N. Epele , H. Fanchiotti , C. A. García Canal , M. Marucho

The interquark potential is constructed by making use of the new analytic running coupling in QCD. This running coupling arises under ``analytization'' of the renormalization group equation. The rising behavior of the interquark potential…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nesterenko

We implement our past investigations in the quark-antiquark interaction through a non-perturbative running coupling defined in terms of a gluon mass function, similar to that used in some Schwinger-Dyson approaches. This coupling leads to a…

High Energy Physics - Phenomenology · Physics 2016-11-15 Cesar Ayala , Pedro Gonzalez , Vicente Vento

Cornell potential is known to represent the quark-antiquark confinement interaction. In addition to the Cornell potential, there have been other interactions in the literature that demonstrate confining structure in the quark-antiquark…

General Relativity and Quantum Cosmology · Physics 2023-05-26 S. Habib Mazharimousavi

We study the static three quark potential using lattice QCD simulation. At zero temperature, the three quark potential is extracted from the baryonic Wilson loop and fitted to the phenomenological form, the sum of the Coulomb term, linearly…

High Energy Physics - Lattice · Physics 2009-10-31 H. Matsufuru , Y. Nemoto , H. Suganuma , T. T. Takahashi , T. Umeda

We study the three-quark and multi-quark potentials in SU(3) lattice QCD. From the accurate calculation for more than 300 different patterns of 3Q systems, the static ground-state 3Q potential $V_{\rm 3Q}^{\rm g.s.}$ is found to be well…

High Energy Physics - Lattice · Physics 2009-11-10 Hideo Suganuma , Toru T. Takahashi , Fumiko Okiharu , Hiroko Ichie

Quark confinement and the genesis of the constituent quark model are examined in nonperturbative QCD in Coulomb gauge. We employ a self-consistent method to construct a quasiparticle basis and to determine the quasiparticle interaction. The…

High Energy Physics - Phenomenology · Physics 2014-11-17 Adam P. Szczepaniak , Eric S. Swanson

In a functional approach to QCD the infrared behaviour of Landau gauge Green functions is investigated. It can be proven that the ghost Dyson-Schwinger equation implies the Gribov-Zwanziger horizon condition. Its relation to the Kugo-Ojima…

High Energy Physics - Phenomenology · Physics 2008-11-26 Reinhard Alkofer

We develop a picture of the QCD string as a chain of constituent gluons, bound by attractive nearest-neighbor forces which may be treated perturbatively. This picture accounts for both Casimir scaling at large N, and the asymptotic center…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Greensite , Charles B. Thorn

A recently developed model for the QCD analytic invariant charge is compared with quenched lattice simulation data on the static quark-antiquark potential. By employing this strong running coupling one is able to obtain the confining…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. V. Nesterenko

I summarise recent lattice results on the QCD confinement mechanism in the maximally Abelian projection.

High Energy Physics - Phenomenology · Physics 2007-05-23 Gunnar S. Bali

In this paper, we construct a simple model for the complex heavy quark potential which is defined through the Fourier transform of the static gluon propagator. Besides the hard thermal loop resummed contribution, the gluon propagator also…

High Energy Physics - Phenomenology · Physics 2019-09-04 Yun Guo , Lihua Dong , Jisi Pan , Manoel R. Moldes

In SU(3) lattice QCD, we perform the detailed study for the ground-state three-quark (3Q) potential $V_{\rm 3Q}^{\rm g.s.}$ and the 1st excited-state 3Q potential $V_{\rm 3Q}^{\rm e.s.}$, i.e., the energies of the ground state and the 1st…

High Energy Physics - Lattice · Physics 2009-11-10 Hideo Suganuma , Toru T. Takahashi , Fumiko Okiharu , Hiroko Ichie