Effective Monopole Action at Finite Temperature in SU(2) Gluodynamics

Ishiguro, Katsuya; Suzuki, Tsuneo; Yazawa, Tateaki

doi:10.1088/1126-6708/2002/01/038

Cited by 8 publications

(21 citation statements)

References 41 publications

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“…[70], while we find some discrepancies in the scale a s . We have checked that our predictions for a s ¼ a t in the isotropic case ¼ 1 agree with others in the literature (cf., e.g., Ref.…”

Section: A Numerical Setupmentioning

confidence: 53%

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Ghost propagator and the Coulomb form factor from the lattice

2012

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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 anisotropic lattices to improve the temporal resolution. We find that the ghost propagator is infrared enhanced with an exponent kappa_gh ~ 0.5 while the Coulomb potential exhibits a string tension larger than the Wilson string tension, sigma_C ~ 2 sigma. This agrees with the Coulomb "scaling" scenario derived from the Gribov-Zwanziger confinement mechanism.Comment: 23 pages, 5 figures. Some issues clarified and extended, references added. To appear in PR

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Section: A Numerical Setupmentioning

confidence: 53%

“…[63,69]. For SUð2Þ we are only aware of one study from the literature [70]. In both cases nonperturbative effects turn out to be quite large, so that the analytic one-loop calculations for , which are in principle available for any N c , and [61], cannot be trusted for practical applications [67,69].…”

Section: A Numerical Setupmentioning

confidence: 99%

Ghost propagator and the Coulomb form factor from the lattice

2012

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“…The color-electric flux is squeezed by the dual Meissner effect [12,15,17,18,25]. Moreover, monopole condensation is confirmed by the energy-entropy balance of the monopole trajectories [22,[26][27][28]. These results indicate that there must exist a dual Ginzburg-Landau (GL) type theory as an infrared effective theory of QCD [29][30][31].…”

Section: Introductionmentioning

confidence: 98%

Gauge invariance of color confinement due to the dual Meissner effect caused by Abelian monopoles

et al. 2009

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The mechanism of non-Abelian color confinement is studied in SU(2) lattice gauge theory in terms of the Abelian fields and monopoles extracted from non-Abelian link variables without adopting gauge fixing. First, the static quark-antiquark potential and force are computed with the Abelian and monopole Polyakov loop correlators, and the resulting string tensions are found to be identical to the non-Abelian string tension. These potentials also show the scaling behavior with respect to the change of lattice spacing. Second, the profile of the color-electric field between a quark and an antiquark is investigated with the Abelian and monopole Wilson loops. The color-electric field is squeezed into a flux tube due to monopole supercurrent with the same Abelian color direction. The parameters corresponding to the penetration and coherence lengths show the scaling behavior, and the ratio of these lengths, i.e., the Ginzburg-Landau parameter, indicates that the vacuum type is near the border of the type 1 and type 2 (dual) superconductors. These results are summarized in which the Abelian fundamental charge defined in an arbitrary color direction is confined inside a hadronic state by the dual Meissner effect. As the colorneutral state in any Abelian color direction corresponds to the physical color-singlet state, this effect explains non-Abelian color confinement and supports the existence of a gauge-invariant mechanism of color confinement due to the dual Meissner effect caused by Abelian monopoles.

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“…The color-electric flux is squeezed by the dual Meissner effect [8,11,12,13]. Moreover monopole condensation is confirmed by the energyentropy balance of the monopole trajectories [16,17,18]. These results indicate that there must exist a dual Ginzburg-Landau (GL) type theory as an infrared effective theory of QCD [19,20].…”

Section: Introductionmentioning

confidence: 86%

Gauge invariance of the color confinement mechanism due to the Abelian dual Meissner effect

Ishiguro¹

2010

Proceedings of the XXVII International Symposium on Lattice Field Theory — PoS(LAT2009)

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The mechanism of non-Abelian color confinement is studied in SU(2) lattice gauge theory in terms of the Abelian fields and monopoles extracted from non-Abelian link variables without adopting gauge fixing. First, the static quark-antiquark potential and force are computed with the Abelian and monopole Polyakov loop correlators, and the resulting string tensions are found to be identical to the non-Abelian string tension. These potentials also show the scaling behavior with respect to the change of lattice spacing. Second, the profile of the color-electric field between a quark and an antiquark is investigated with the Abelian and monopole Wilson loops. The colorelectric field is squeezed into a flux tube due to monopole supercurrent with the same Abelian color direction. The parameters corresponding to the penetration and coherence lengths show the scaling behavior, and the ratio of these lengths, i.e., the Ginzburg-Landau parameter, indicates that the vacuum type is near the border of the type 1 and type 2 (dual) superconductors. These results are summarized in which the Abelian fundamental charge defined in an arbitrary color direction is confined inside a hadronic state by the dual Meissner effect. As the color-neutral state in any Abelian color direction corresponds to the physical color-singlet state, this effect explains non-Abelian color confinement and supports the existence of a gauge-invariant mechanism of color confinement due to the dual Meissner effect caused by Abelian monopoles. The XXVII International Symposium on Lattice Field Theory

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Effective Monopole Action at Finite Temperature in SU(2) Gluodynamics

Cited by 8 publications

References 41 publications

Ghost propagator and the Coulomb form factor from the lattice

Ghost propagator and the Coulomb form factor from the lattice

Gauge invariance of color confinement due to the dual Meissner effect caused by Abelian monopoles

Gauge invariance of the color confinement mechanism due to the Abelian dual Meissner effect

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