Mean-field QCD model for hot/dense matter

Källman, Carl-G.

doi:10.1016/0370-2693(84)90017-0

Cited by 41 publications

(23 citation statements)

References 18 publications

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“…Comparing (38) and (39) with the mass and width (35) of the Regge trajectory (33) and applying absolutely the same logic which we used for the free QGP bags, we conclude that the location of the FWM heavy bags in the complex energy plane is identical to that one of resonances belonging to the trajectory (33) with…”

Section: Asymptotic Behavior Of the Regge Trajectoriesmentioning

confidence: 88%

Quark gluon bags as reggeons

2009

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The influence of the medium dependent finite width of quark gluon plasma (QGP) bags on their equation of state is analyzed within an exactly solvable model. It is argued that the large width of the QGP bags not only explains the observed deficit in the number of hadronic resonances, but also clarifies the reason why the heavy QGP bags cannot be directly observed as metastable states in a hadronic phase. The model allows us to estimate the minimal value of the width of QGP bags being heavier than 2 GeV from a variety of the lattice QCD data and get that the minimal resonance width at zero temperature is about 600 MeV, whereas the minimal resonance width at the Hagedorn temperature is about 2000 MeV. As shown, these estimates are almost insensitive to the number of the elementary degrees of freedom. The recent lattice QCD data are analyzed and it is found that besides σT 4 term the lattice QCD pressure contains T -linear and T 4 ln T terms in the range of temperatures between 240 MeV and 420 MeV. The presence of the last term in the pressure bears almost no effect on the width estimates. Our analysis shows that at high temperatures the average mass and width of the QGP bags behave in accordance with the upper bound of the Regge trajectory asymptotics (the linear asymptotics), whereas at low temperatures they obey the lower bound of the Regge trajectory asymptotics (the square root one). Since the model explicitly contains the Hagedorn mass spectrum, it allows us to remove an existing contradiction between the finite number of hadronic Regge families and the Hagedorn idea of the exponentially growing mass spectrum of hadronic bags.PACS: 25.75.-q,25.75.Nq Keywords: Hagedorn spectrum, finite width of quark-gluon bags, subthreshold suppression of bags

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Section: Asymptotic Behavior Of the Regge Trajectoriesmentioning

confidence: 88%

Quark gluon bags as reggeons

2009

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“…The same can be said about an approximation leading to a statistically correct Hamiltonian. For instance, the correlated mean-field approximation of Section 9, involving conditions (26) or (27), or (31), is statistically correct.…”

Section: Principle Of Statistical Correctnessmentioning

confidence: 99%

Thermodynamics of strong interactions

Yukalov¹,

Yukalova²

1997

Phys. Part. Nucl.

235

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The state of art in studying thermodynamic properties of hot and dense nuclear matter is reviewed with the special emphasis on the confinement-deconfinement transition between hadron matter and quark-gluon plasma. The most popular models used for describing deconfinement are analysed, including statistical bootstrap models, pure phase models, the model of clustered quarks, and the string-flip potential model. Predictions of these models are compared with the lattice numerical simulations. It is concluded that precursor fluctuation effects must be taken into account in order to get a realistic description of deconfinement transition. The existence of precursor fluctuations is in line with the dynamical confinement scenario and suggests that deconfinement cannot be considered as a transition between pure hadron and quark-gluon phases. All this supports the concept of cluster coexistence advocated by the authors of this review: Quark-gluon plasma and hadron clusters are different quantum states of the same system, so that any statistical model pretending to treat nuclear matter under extreme conditions must incorporate into itself the probability of these different channels. The ways of constructing statistical models with plasma-cluster coexistence are discussed and thermodynamic properties of such models are analysed.

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“…Thus for the FMR gas, the leading deviation of the pressure from the Stefan-Boltzmann law is linear in T. However, this linear term -and only a linear term -is annihilated in the formula for the energy density " T 2 @ @T p T , which gives " 3c SB T 4 O1: (13) An EOS of this type was obtained as a fit to the lattice data at high temperature in [20]. For the speed of sound one obtains…”

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confidence: 99%

Equation of State of Gluon Plasma from a Fundamental Modular Region

Zwanziger

2005

Phys. Rev. Lett.

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Despite considerable practical success in dealing with the gluon plasma, finite-temperature perturbation theory suffers at the fundamental level from infrared divergences discovered by Linde. However, if gauge or Gribov copies are properly eliminated from the physical state space, infrared modes are strongly suppressed. We describe the gluon plasma in zeroth order as a gas of free quasiparticles with a temperature-independent dispersion relation of Gribov type, E(k)=k(2)sqrt[+M4 / k(2)], that results from the reduction of the physical state space. The effective mass M2 / k controls infrared divergences and allows finite calculable corrections. The equation of state of this gas is calculated and compared with numerical lattice data.

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Mean-field QCD model for hot/dense matter

Cited by 41 publications

References 18 publications

Quark gluon bags as reggeons

Quark gluon bags as reggeons

Thermodynamics of strong interactions

Equation of State of Gluon Plasma from a Fundamental Modular Region

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