Equation of State of Strongly Coupled Quark–Gluon Plasma – Path Integral Monte Carlo Results

Филинов, В. С.; Bönitz, M.; Ivanov, Yu. B.; Skokov, Vladimir V.; Levashov, P. R.; Фортов, В. Е.

doi:10.1002/ctpp.200910053

Cited by 12 publications

(22 citation statements)

References 24 publications

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“…[70] on the absence of qq bound states above the temperature of the phase transition. This finding is in contrast to our previous results on the SU(2) group [29][30][31][32]. There well-pronounced bound qq states were found just above the critical temperature, which, however, quickly dissolved with the temperature rise.…”

Section: A Equilibrium Propertiescontrasting

confidence: 99%

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Color path-integral Monte-Carlo simulations of quark-gluon plasma: Thermodynamic and transport properties

et al. 2013

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Based on the quasiparticle model of the quark-gluon plasma (QGP), a color quantum path-integral Monte-Carlo (PIMC) method for the calculation of thermodynamic properties and-closely related to the latter-a Wigner dynamics method for calculation of transport properties of the QGP are formulated. The QGP partition function is presented in the form of a color path integral with a new relativistic measure instead of the Gaussian one traditionally used in the Feynman-Wiener path integral. A procedure of sampling color variables according to the SU(3) group Haar measure is developed for integration over the color variable. It is shown that the PIMC method is able to reproduce the lattice QCD equation of state at zero baryon chemical potential at realistic model parameters (i.e., quasiparticle masses and coupling constant) and also yields valuable insight into the internal structure of the QGP. Our results indicate that the QGP reveals quantum liquidlike (rather than gaslike) properties up to the highest considered temperature of 525 MeV. The pair distribution functions clearly reflect the existence of gluon-gluon bound states, i.e., glueballs, at temperatures just above the phase transition, while mesonlike qq bound states are not found. The calculated self-diffusion coefficient agrees well with some estimates of the heavy-quark diffusion constant available from recent lattice data and also with an analysis of heavy-quark quenching in experiments on ultrarelativistic heavy-ion collisions, however, appreciably exceeds other estimates. The lattice and heavy-quark-quenching results on the heavy-quark diffusion are still rather diverse. The obtained results for the shear viscosity are in the range of those deduced from an analysis of the experimental elliptic flow in ultrarelativistic heavy-ions collisions, i.e., in terms the viscosity-to-entropy ratio, 1/4π η/S < 2.5/4π , in the temperature range from 170 to 440 MeV.

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Section: A Equilibrium Propertiescontrasting

confidence: 99%

“…[28] for SU (3) group and in Refs. [29][30][31][32] for SU (2) group. In this paper we show that the PIMC method is able to reproduce the QCD lattice equation of state at vanishing baryon-charge density and also yields valuable insight into the internal structure of the QGP.…”

Section: Introductionmentioning

confidence: 99%

Color path-integral Monte-Carlo simulations of quark-gluon plasma: Thermodynamic and transport properties

et al. 2013

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“…This view is now supported by first-principle QCD lattice calculations [38,39]. Interestingly, the governing role of correlations may allow for the application of simpler theoretical models and simulations of the QGP, including semiclassical molecular dynamics [40][41][42] and quantum Monte Carlo simulations [43]. The analogy of the collective properties of the QGP and electromagnetic complex plasmas has been pointed out recently [44,45] where it was suggested that results from the latter may give qualitative insights into properties of the former.…”

Section: Significance Of Strong Correlations In Naturementioning

confidence: 91%

Complex plasmas: a laboratory for strong correlations

2010

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Strong correlations-cooperative behavior due to many-particle interactions-are omnipresent in nature. They occur in electrolytic solutions, dense plasmas, ultracold ions and atomic gases in traps, complex (dusty) plasmas, electrons and excitons in quantum dots and the quark-gluon plasma. Correlation effects include the emergence of long-range order, of liquid-like or crystalline structures and collective dynamic properties (collective modes). The observation and experimental analysis of strong correlations are often difficult, requiring, in many cases, extreme conditions such as very low temperatures or high densities. An exception is complex plasmas where strong coupling can be easily achieved, even at room temperature. These systems feature the strongest correlations reported so far and experiments allow for an unprecedented precision and full single-particle resolution of the stationary and time-dependent many-particle behavior. The governing role of the interactions in strongly correlated systems gives rise to many universal properties observed in all of them. This makes the analysis of one particular system interesting for many others. This motivates the goal of this paper which is to give an overview on recent experimental and theoretical results in complex plasmas including liquid-like behavior, crystal formation, structural and dynamic properties. It is expected that many of these effects will be of interest also to researchers in other fields where strong correlations play a prominent role.

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“…To this end we use a simple model [9] of the QGP consisting of quarks, antiquarks and gluons interacting via a color Coulomb potential. First results of applications of the PIMC method to study of thermodynamic properties of the nonideal QGP have already been briefly reported in [23,24]. In this paper we present a comprehensive report on the thermodynamic properties.…”

Section: Introductionmentioning

confidence: 95%

Quantum simulations of strongly coupled quark-gluon plasma

et al. 2011

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A strongly coupled quark-gluon plasma (QGP) of heavy constituent quasiparticles is studied by a path-integral Monte-Carlo method, which improves the corresponding classical simulations by extending them to the quantum regime. It is shown that this method is able to reproduce the lattice equation of state and also yields valuable insight into the internal structure of the QGP. The results indicate that the QGP reveals liquid-like rather than gas-like properties. At temperatures just above the critical one it was found that bound quark-antiquark states still survive. These states are bound by effective string-like forces. Quantum effects turned out to be of prime importance in these simulations.Comment: 8 pages, 10 figures, revised version of the contribution to proceedings of "Int. Workshop on High Density Nuclear Matter", Cape Town, 5-10 Apr., 201

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Equation of State of Strongly Coupled Quark–Gluon Plasma – Path Integral Monte Carlo Results

Cited by 12 publications

References 24 publications

Color path-integral Monte-Carlo simulations of quark-gluon plasma: Thermodynamic and transport properties

Color path-integral Monte-Carlo simulations of quark-gluon plasma: Thermodynamic and transport properties

Complex plasmas: a laboratory for strong correlations

Quantum simulations of strongly coupled quark-gluon plasma

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