Abelian dominance and quark confinement in Yang-Mills theories

Ezawa, Zyun F.; Iwazaki, Aiichi

doi:10.1103/physrevd.25.2681

Cited by 250 publications

(348 citation statements)

References 18 publications

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“…The most efficient partial gauge fixing from this viewpoint is known to be the Maximally Abelian gauge (MAG) [5], although we can consider other Abelian gauges [6]. The numerical simulations [8] have confirmed that only this gauge leads to the Abelian dominance predicted by [7] and the magnetic monopole dominance [9] for the string tension. This is also the case of chiral symmetry breaking.…”

Section: Introductionmentioning

confidence: 51%

Lattice construction of Cho–Faddeev–Niemi decomposition and gauge-invariant monopole

Kato¹,

Kondo²,

Murakami³

et al. 2006

Physics Letters B

106

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We present the first implementation of the Cho-Faddeev-Niemi decomposition of the SU(2) Yang-Mills field on a lattice. Our construction retains the color symmetry (global SU(2) gauge invariance) even after a new type of Maximally Abelian gauge, as explicitly demonstrated by numerical simulations. Moreover, we propose a gauge-invariant definition of the magnetic monopole current using this formulation and compare the new definition with the conventional one by DeGrand and Toussaint to exhibit its validity.

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Section: Introductionmentioning

confidence: 51%

Lattice construction of Cho–Faddeev–Niemi decomposition and gauge-invariant monopole

Kato¹,

Kondo²,

Murakami³

et al. 2006

Physics Letters B

106

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show abstract

“…It was found that the propagator of the off-diagonal gluons is exponentially suppressed at large distances by the effective mass about 1.2 GeV. Thus the findings of [14] support the Abelian dominance in gluodynamics [15,16]. The mass gap generation for the off-diagonal gluons was further studied analytically in Ref.…”

Section: Introductionmentioning

confidence: 82%

Abelian dominance and gluon propagators in the maximally Abelian gauge of SU(2) lattice gauge theory

et al. 2003

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Propagators of the diagonal and the off-diagonal gluons are studied numerically in the Maximal Abelian gauge of SU(2) lattice gauge theory. It is found that in the infrared region the propagator of the diagonal gluon is strongly enhanced in comparison with the off-diagonal one. The enhancement factor is about 50 at our smallest momentum 325 MeV. We have also applied various fits to the propagator formfactors.

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“…According to the concept of Abelian dominance, the low energy regime of QCD can be expressed solely in terms of Abelian degrees of freedom [20]. Lattice confirmations of the Abelian dominance can be found in [21,22].…”

Section: Abelian Dominancementioning

confidence: 99%

The infrared behavior of the gluon and ghost propagators in SU(2) Yang-Mills theory in the maximal abelian gauge

Capri¹,

Dudal²,

Gracey³

et al. 2007

Braz. J. Phys.

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We report on some recent analytical results on the behaviour of the gluon and ghost propagators in Euclidean SU(2) Yang-Mills theory quantized in the maximal Abelian gauge (MAG). This gauge is of particular interest for the dual superconductivity picture to explain color confinement. Two kinds of effects are taken into account: those arising from a treatment of Gribov copies in the MAG and those arising from a dynamical mass originating in a dimension two gluon condensate. The diagonal component of the gluon propagator displays the typical Gribov-type behaviour, while the off-diagonal component is of the Yukawa type due to the dynamical mass. These results are in qualitative agreement with available lattice data on the gluon propagators. The off-diagonal ghost propagator exhibits an infrared enhancement due to the Gribov restriction, while the diagonal one remains unaffected.

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Abelian dominance and quark confinement in Yang-Mills theories

Cited by 250 publications

References 18 publications

Lattice construction of Cho–Faddeev–Niemi decomposition and gauge-invariant monopole

Lattice construction of Cho–Faddeev–Niemi decomposition and gauge-invariant monopole

Abelian dominance and gluon propagators in the maximally Abelian gauge of SU(2) lattice gauge theory

The infrared behavior of the gluon and ghost propagators in SU(2) Yang-Mills theory in the maximal abelian gauge

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