Monopole effects on Polyakov loop and its gauge independence in QCD

Matsubara, Yoshimi; Ilyar, Sawut; Okude, Tsuyoshi; Yotsuji, K.; Suzuki, Tsuneo

doi:10.1016/0920-5632(95)00302-p

Cited by 5 publications

(5 citation statements)

References 4 publications

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“…Such a translation of the confinement mechanism between different gauges deserves further investigations. Remarks on unitary gauges can be found in (Matsubara et al, 1995) and (Suzuki and Yotsuyanagi, 1991).…”

Section: Dual Ginzburg-landau Modelsmentioning

confidence: 99%

Phase transitions in quantum chromodynamics

1996

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The current understanding of finite temperature phase transitions in QCD is reviewed. A critical discussion of refined phase transition criteria in numerical lattice simulations and of analytical tools going beyond the mean-field level in effective continuum models for QCD is presented. Theoretical predictions about the order of the transitions are compared with possible experimental manifestations in heavy-ion collisions. Various places in phenomenological descriptions are pointed out, where more reliable data for QCD's equation of state would help in selecting the most realistic scenario among those proposed. Unanswered questions are raised about the relevance of calculations which assume thermodynamic equilibrium. Promising new approaches to implement nonequilibrium aspects in the thermodynamics of heavy-ion collisions are described.

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Section: Dual Ginzburg-landau Modelsmentioning

confidence: 99%

Phase transitions in quantum chromodynamics

1996

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“…Ambiguities due the requirement of fixing the gauge [32][33][34][35][36] and Gribov copies [37] contribute to these perennial problems. Further it is difficult to see how this mechanism alone can explain all aspects of color confinement in arbitrary systems.…”

Section: Introductionmentioning

confidence: 99%

Model independent approach to studies of the confining dual Abrikosov vortex inSU(2)lattice gauge theory

Haymaker

Matsuki

2007

Phys. Rev. D

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We address the problem of determining the type I, type II or borderline dual superconductor behavior in maximal Abelian gauge SU (2) through the study of the dual Abrikosov vortex. We find that significant electric currents in the simulation data call into question the use of the dual Ginzburg Landau Higgs model in interpreting the data. Further, two definitions of the penetration depth parameter take two different values. The splitting of this parameter into two is intricately connected to the existence of electric currents. It is important in our approach that we employ definitions of flux and electric and magnetic currents that respect Maxwell equations exactly for lattice averages independent of lattice spacings. Applied to specific Wilson loop sizes, our conclusions differ from those that use the dual GLH model.

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“…This is about 30% lower than the full SU (3) string tension σ f . We believe this is the first quantitative calculation of the SU(3) string tension from monopoles, although hints that the monopole string tension is low have appeared before [4].…”

Section: Calculationsmentioning

confidence: 90%

“…The Wilson loop data is presented in Figure (1). Fits to the potential computed using the Z(3) Wilson loops gave a string tension of σ vort = .060 (4). Thus, we find the string tension from indirect center projection to be too low.…”

Section: Calculationsmentioning

confidence: 90%

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Monopoles, vortices and confinement in SU(3) lattice gauge theory

Wensley

Stack

2001

Nuclear Physics B - Proceedings Supplements

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We present results for the heavy quark potential computed in SU(3) from magnetic monopoles and from center vortices. The monopoles are identified after fixing SU(3) lattice configurations to the maximal abelian gauge. The center vortices are identified after using an indirect center gauge fixing scheme which we describe for SU(3). Z(3) center vortices are extracted and used to compute the potential. The values of the string tensions from monopoles and vortices are compared to the full SU(3) string tension.

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Monopole effects on Polyakov loop and its gauge independence in QCD

Cited by 5 publications

References 4 publications

Phase transitions in quantum chromodynamics

Phase transitions in quantum chromodynamics

Model independent approach to studies of the confining dual Abrikosov vortex inSU(2)lattice gauge theory

Monopoles, vortices and confinement in SU(3) lattice gauge theory

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