Quark matter in a QCD Coulomb gauge quark model

Antunes, S. M.; Krein, G.; Vizcarra, V. E.; Panda, P. K.

doi:10.1590/s0103-97332005000500043

Cited by 4 publications

(7 citation statements)

References 6 publications

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“…To encompass all temperatures, the free energy string tension of Eqs. (7) and (12) should be used in the χQM, or at least a step function with a transition at T c could be approximately used.…”

Section: Discussionmentioning

confidence: 99%

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QCD string tension curve, the ferromagnetic magnetization, and the quark-antiquark confining potential at finite temperature

Bicudo

2010

Phys. Rev. D

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We study the string tension as a function of temperature, fitting the SU(3) lattice QCD finite temperature free energy potentials computed by the Bielefeld group. We compare the string tension points with order parameter curves of ferromagnets, superconductors or string models, all related to confinement. We also compare the SU(3) string tension with the one of SU(2) Lattice QCD. With the curve providing the best fit to the finite temperature string tensions, the spontaneous magnetization curve, we then show how to include finite temperature, in the state of the art confining and chiral invariant quark models.

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Section: Discussionmentioning

confidence: 99%

“…Thus, presently, the best model for the string tension at finite T remains the one of Eqs. (7) and (12).…”

Section: The Free Energy the Internal Energy And The Finite Temmentioning

confidence: 99%

QCD string tension curve, the ferromagnetic magnetization, and the quark-antiquark confining potential at finite temperature

Bicudo

2010

Phys. Rev. D

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“…2 as a function of the momentum scaled to m g . The same interaction was used to study the baryon density dependence of the quark condensate [16], with the result that the chiral restoration comes out at a too low density.…”

Section: Numerical Resultsmentioning

confidence: 99%

Charmed-meson scattering on nucleons in a QCD Coulomb gauge quark model

Antunes¹,

Krein²,

Vizcarra³

2007

Braz. J. Phys.

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The scattering of charmed mesons on nucleons is investigated within a chiral quark model inspired on the QCD Hamiltonian in Coulomb gauge. The microscopic model incorporates a longitudinal Coulomb confining interaction derived from a self-consistent quasi-particle approximation to the QCD vacuum, and a traverse hyperfine interaction motivated from lattice simulations of QCD in Coulomb gauge. From the microscopic interactions at the quark level, effective meson-baryon interactions are derived using a mapping formalism that leads to quark-Born diagrams. As an application, the total cross-section of heavy-light D-mesons scattering on nucleons is estimated.

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“…Recently we have shown how to measure in the excited hadron spectra the running mass m(p) [10]. The chiral invariant and confining quark models have also been applied to phase studies at finite temperature T and chemical potential µ [11,12,13,14,15,16,17,18]. A finite quark mass is relevant both for the study of hadrons which have been investigated for decades, and for the study the QCD phase diagram which will be explored in the future at RHIC, LHC and FAIR.…”

Section: Introductionmentioning

confidence: 99%

“…Importantly, since our model is well defined and solvable, it can be used as a simpler model than QCD, and yet qualitatively correct, to address different aspects of hadronic physics. Is is adequate to study the QCD phase diagram microscopically [11,12,13,14,15,16,17,18]. We scan the current quark masses, from the light quarks to the heavy quarks, computing the running quark mass m(p) with detail, including the infrared limit of m(0), i. e. the mass gap.…”

Section: Introductionmentioning

confidence: 99%

Quark running mass and vacuum energy density in truncated Coulomb gauge QCD for five orders of magnitude of current masses

Bicudo

2011

Nuclear Physics A

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We study in detail the effect of the finite current quark mass on chiral symmetry breaking, in the framework of truncated Coulomb gauge QCD with a linear confining quark-antiquark potential. In the chiral limit of massless current quarks, the breaking of chiral symmetry is spontaneous. But for a finite current quark mass, some dynamical symmetry breaking continues to add to the explicit breaking caused by the quark mass. Moreover, using as order parameter the mass gap, i. e. the quark mass at vanishing moment or the quark condensate, a finite quark mass transforms the chiral symmetry breaking from a phase transition into a crossover. For the study of the QCD phase diagram it thus is relevant to determine how the current quark mass affects chiral symmetry breaking. Since the current quark masses of the six standard flavours u, d, s, c, b, t span over five orders of magnitude from 1.5 MeV to 171 GeV, we develop an accurate numerical method to study the running quark mass gap and the quark vacuum energy density from very small to very large current quark masses. IntroductionChiral symmetry breaking has been studied in detail with chiral invariant and confining quark models in the chiral limit of a vanishing current quark mass m 0 . For a finite current quark mass m 0 = 0, studies exist with an approximate Email address: bicudo@ist.utl.pt (P. Bicudo).

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Quark matter in a QCD Coulomb gauge quark model

Cited by 4 publications

References 6 publications

QCD string tension curve, the ferromagnetic magnetization, and the quark-antiquark confining potential at finite temperature

QCD string tension curve, the ferromagnetic magnetization, and the quark-antiquark confining potential at finite temperature

Charmed-meson scattering on nucleons in a QCD Coulomb gauge quark model

Quark running mass and vacuum energy density in truncated Coulomb gauge QCD for five orders of magnitude of current masses

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