Dual Higgs Mechanism for Quarks in Hadrons

Suganuma, Hideo; Sasaki, Shoichi; Toki, H.; Ichie, H.

doi:10.1143/ptps.120.57

Cited by 113 publications

(339 citation statements)

References 37 publications

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“…We identify the set (φ 0 1 , φ 0 2 , φ 0 3 ) with the confining vacuum at low temperatures. In this regime the spectrum consists of glueballs with masses that are much larger than the prevailing temperatures [8]. The thermal equilibrium between the vacuum "medium" and its excitations is essentially realized at pressure zero, which indeed is observed on the lattice [17].…”

Section: Deconfinement Phase Transitionmentioning

confidence: 89%

Erratum: Deconfining by winding: The magnetic monopole vacua at high temperatures [Phys. Rev. D62, 105021 (2000)]

Hofmann¹

2001

Phys. Rev. D

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Characterizing the vacuum of a thermalized SU(3) Yang-Mills theory in the dual Ginzburg-Landau description, the possibility of topologically nontrivial, classical monopole fields in the deconfining phase is explored. These fields are assumed to be Bogomol'nyi-Prasad-Sommerfield (BPS) saturated solutions along the compact, euclidean time dimension. A corresponding, gauge invariant monopole interaction is constructed. The model passes first tests. In particular, a reasonable value for the critical temperature is obtained, and the partial persistence of nonperturbative features in the deconfining phase of SU(3) Yang-Mills theory, as it is measured on the lattice, follows naturally.

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Section: Deconfinement Phase Transitionmentioning

confidence: 89%

Erratum: Deconfining by winding: The magnetic monopole vacua at high temperatures [Phys. Rev. D62, 105021 (2000)]

Hofmann¹

2001

Phys. Rev. D

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“…In specific gauges, these degrees of freedom appear as colormagnetic monopoles [8][9][10] or center vortices [11][12][13]. The idea that center fluxes disorder Wilson loops, and therefore lead to confinement, is an old one [14,15] and over the last couple of decades a great deal of work has been done in lattice gauge theory on such objects, principally in SU(2) Yang-Mills theory.…”

Section: Introductionmentioning

confidence: 99%

Role of center vortices in chiral symmetry breaking in SU(3) gauge theory

et al. 2011

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3. The right to use all or part of the Article, including the APS-prepared version without revision or modification, on the author(s)' web home page or employer's website and to make copies of all or part of the Article, including the APS-prepared version without revision or modification, for the author(s)' and/or the employer's use for educational or research purposes." th June 2013Role of center vortices in chiral symmetry breaking in SU (3) We study the behavior of the AsqTad quark propagator in Landau gauge on SU(3) Yang-Mills gauge configurations under the removal of center vortices. In SU(2) gauge theory, center vortices have been observed to generate chiral symmetry breaking and support the infrared behavior of the quark propagator. In contrast, we report a weak dependence on the vortex content of the SU(3) gauge configurations, including the survival of dynamical mass generation on configurations with vanishing string tension.

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“…Here, let us consider the application of this criterion to the effective theory of QCD in the abelian gauge, the dual Ginzburg-Landau (DGL) theory [28,29]. In the DGL theory, the local U(1) Nc−1 and the global Weyl symmetries remain, and the dual gauge field B µ and the monopole field χ α [α=1, · · ·, 1 2 N c (N c − 1)] are the relevant modes for infrared physics.…”

Section: Residual Symmetry and Gauge Invariance Condition In The mentioning

confidence: 99%

“…Ezawa and Iwazaki formulated the dual London theory as an infrared effective theory of QCD, and later it is reformulated as the dual Ginzburg-Landau theory [28][29][30][31][32][33][34].…”

mentioning

confidence: 99%

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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Dual Higgs Mechanism for Quarks in Hadrons

Cited by 113 publications

References 37 publications

Erratum: Deconfining by winding: The magnetic monopole vacua at high temperatures [Phys. Rev. D62, 105021 (2000)]

Erratum: Deconfining by winding: The magnetic monopole vacua at high temperatures [Phys. Rev. D62, 105021 (2000)]

Role of center vortices in chiral symmetry breaking in SU(3) gauge theory

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

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