Abelian dominance in SU (2) color confinement

Hioki, S.; Kitahara, Shun-ichi; Kiura, S.; Matsubara, Yoshimi; Miyamura, O.; Ohno, Satoshi; Suzuki, Tsuneo

doi:10.1016/0370-2693(91)91838-m

Cited by 148 publications

(127 citation statements)

References 17 publications

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“…The diagonal gluon propagator displays a Gribov type behavior (35), while the off-diagonal one has a Yukawa type behavior (42), with an off-diagonal mass originating from the dimension two condensate A a µ A a µ . These results are in satisfactory agreement with the available lattice data from [15,16], summarized in (22), (23) and (24).…”

Section: Discussionsupporting

confidence: 90%

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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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Section: Discussionsupporting

confidence: 90%

“…Lattice confirmations of the Abelian dominance can be found in [21,22]. An argument that can be interpreted in favour of it, is the fact that the off-diagonal gluons would attain a large, dynamical mass.…”

Section: Abelian Dominancementioning

confidence: 89%

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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“…As the typical abelian gauge, the maximally abelian (MA) gauge, the Polyakov gauge and the F12 gauge have been tested on the dual superconductor scenario for the nonperturbative QCD. Recent lattice QCD studies show that infrared phenomena such as confinement properties and chiral symmetry breaking are almost reproduced in the MA gauge [35][36][37][38][39][40][41]. In the SU(2) lattice formalism, the MA gauge is defined so as to maximize…”

Section: Maximally Abelian (Ma) Gauge In the Connection Formalismmentioning

confidence: 99%

“…Furthermore, abelian dominance [35][36][37][38][39] and monopole condensation [40][41][42] have been investigated using the lattice QCD simulation in the maximally abelian (MA) gauge [40][41][42][43]. The MA gauge is the abelian gauge where the diagonal component of the gluon is maximized by the gauge transformation.…”

mentioning

confidence: 99%

“…In the MA gauge, physical information of the gauge configuration is concentrated into the diagonal component as much as possible. The lattice QCD studies indicate abelian dominance that the string tension [35][36][37] and the chiral condensate [38,39] are almost described only by abelian variables in the MA gauge. Moreover, monopole dominance is also observed in the lattice QCD simulation in the MA gauge: only the monopole part in the abelian variable contributes to the nonperturbative QCD [37,38].…”

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confidence: 99%

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Abelian dominance for confinement and random phase property of off-diagonal gluons in the maximally abelian gauge

Ichie

Suganuma

1999

Nuclear Physics B

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We study abelian dominance for confinement in terms of the local gluon properties in the maximally abelian (MA) gauge in a semi-analytical manner with the help of the lattice QCD. The global Weyl symmetry persistently remains as the relic of SU(N c ) in the MA gauge, and provides the ambiguity on the electric and magnetic charges. We derive the criterion on the SU(N c )-gauge invariance in terms of the residual symmetry in the abelian gauge. In the lattice QCD, we find microscopic abelian dominance on the link variable for the whole region of β in the MA gauge. The off-diagonal angle variable, which is not constrained by the MA-gauge fixing condition, tends to be random besides the residual gauge degrees of freedom. Within the randomvariable approximation for the off-diagonal angle variable, we prove that off-diagonal gluon contribution to the Wilson loop obeys the perimeter law in the MA gauge, and show exact abelian dominance for the string tension, although small deviation is brought by the finite size effect of the Wilson loop in the actual lattice QCD simulation. *

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Abelian Projections and Monopoles

Chernodub

Polikarpov

NATO Science Series: B:

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Abelian dominance in SU (2) color confinement

Cited by 148 publications

References 17 publications

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

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

Abelian dominance for confinement and random phase property of off-diagonal gluons in the maximally abelian gauge

Abelian Projections and Monopoles

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