Quark confinement physics from quantum chromodynamics

Suganuma, Hideo; Amemiya, K.; Ichie, H.; Tanaka, Atsunori

doi:10.1016/s0375-9474(00)00066-x

Cited by 23 publications

(50 citation statements)

References 10 publications

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“…In a series of papers, Ichie and Suganuma(36;37;38;39) have sought a deeper understanding of Abelian dominance. They look at the residual degrees of freedom after Abelian projection, i.e.…”

Section: Abelian Projection Abelian Dominancementioning

confidence: 99%

Confinement studies in lattice QCD

Haymaker

1999

Physics Reports

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We describe the current search for confinement mechanisms in lattice QCD. We report on a recent derivation of a lattice Ehrenfest-Maxwell relation for the Abelian projection of SU(2) lattice gauge theory. This gives a precise lattice definition of field strength and electric current due to static sources, charged dynamical fields, gauge fixing and ghosts. In the maximal Abelian gauge the electric charge is anti-screened analogously to the non-Abelian charge.

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“…In a series of papers, Ichie and Suganuma(36;37;38;39) have sought a deeper understanding of Abelian dominance. They look at the residual degrees of freedom after Abelian projection, i.e.…”

Section: Abelian Projection Abelian Dominancementioning

confidence: 99%

Confinement studies in lattice QCD

Haymaker

1999

Physics Reports

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“…In this theory, there occurs the one-dimensional squeezing of the color-electric flux by the dual Meissner effect due to condensation of bosonic color-magnetic monopoles. However, there are two large gaps between QCD and the dual superconductor theory [2,[9][10][11] 1. The dual superconductor theory is based on the abelian gauge theory subject to the Maxwell-type equations, where electro-magnetic duality is manifest, while QCD is a nonabelian gauge theory.…”

Section: Confinement Physics From Lattice Qcdmentioning

confidence: 99%

“…In Euclidean QCD, the maximally abelian (MA) gauge is defined so as to minimize the total amount of the off-diagonal gluons [2,[9][10][11] …”

Section: Confinement Physics From Lattice Qcdmentioning

confidence: 99%

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Hadron Physics and Confinement Physics in Lattice QCD

Suganuma¹,

Amemiya²,

Ichie³

et al. 2001

AIP Conference Proceedings

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We are aiming to construct Quark Hadron Physics and Confinement Physics based on QCD. Using SU(3) c lattice QCD, we are investigating the three-quark potential at T = 0 and T = 0, mass spectra of positive and negative-parity baryons in the octet and the decuplet representations of the SU(3) flavor, glueball properties at T = 0 and T = 0. We study also 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 effective off-diagonal gluon mass, M off ≃ 1.2GeV. Due to the large off-diagonal gluon mass in the MA gauge, infrared QCD is abelianized like nonabelian Higgs theories. In the MA gauge, there appears a macroscopic network of the monopole world-line covering the whole system. From the monopole current, we extract the dual gluon field B µ , and examine the longitudinal magnetic screening. We obtain m B ≃ 0.5 GeV in the infrared region, which indicates the dual Higgs mechanism by monopole condensation. From infrared abelian dominance and infrared monopole condensation, low-energy QCD in the MA gauge is described with the dual Ginzburg-Landau (DGL) theory. Quark Hadron Physics from Lattice QCDQuantum chromodynamics (QCD) established as the fundamental theory of the strong interaction takes a simple form [ 1,2],however, it is still hard to understand nonperturbative phenomena, such as color confinement and dynamical chiral-symmetry breaking, due to the infrared strong-coupling feature [ 1,2]. In this decade, lattice QCD Monte Carlo calculations have been developed and have been mainly applied to (i) hadron spectroscopy and (ii) finite temperature QCD phase transition, with a great success. However, lattice QCD is applicable also to (iii) Quark Hadron Physics and (iv) Confinement Physics, as a useful and reliable method. Our group is aiming to construct Quark Hadron Physics and Confinement Physics based on lattice QCD. Our strategy is to adopt lattice QCD calculations to the relevant

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“…(See Fig.1.) Monopole condensation is also suggested by long entangled monopole worldlines [15,21] and the magnetic screening [24].…”

Section: Introductionmentioning

confidence: 97%

Perfect Abelian dominance of confinement in quark-antiquark potential in SU(3) lattice QCD

Suganuma

Sakumichi

2016

AIP Conference Proceedings

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Abstract. In the context of the dual superconductor picture for the confinement mechanism, we study maximally Abelian (MA) projection of quark confinement in SU(3) quenched lattice QCD with 32 4 at β =6.4 (i.e., a ≃ 0.058 fm). We investigate the static quark-antiquark potential V (r), its Abelian part V Abel (r) and its off-diagonal part V off (r), respectively, from the onaxis lattice data. As a remarkable fact, we find almost perfect Abelian dominance for quark confinement, i.e., σ Abel ≃ σ for the string tension, on the fine and large-volume lattice. We find also a nontrivial summation relation of V (r) ≃ V Abel (r) +V off (r).

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Quark confinement physics from quantum chromodynamics

Cited by 23 publications

References 10 publications

Confinement studies in lattice QCD

Confinement studies in lattice QCD

Hadron Physics and Confinement Physics in Lattice QCD

Perfect Abelian dominance of confinement in quark-antiquark potential in SU(3) lattice QCD

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