Quantum simulations of strongly coupled quark-gluon plasma

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

doi:10.1134/s1063778811090043

Cited by 4 publications

(4 citation statements)

References 43 publications

(97 reference statements)

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“…[71] on the absence of qq bound states above the temperature of the phase transition. This finding is in contrast to our previous results on 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: Simulations Of Qgpcontrasting

confidence: 99%

“…This equations are derived precisely in the same way as those of Eqs. ( 38) and ( 31)- (34), only the Hamiltonian H appears here as a result of time derivation of exponent functions, e i Ĥt and e −i Ĥt , rather than from application of equations of motion (30) in Eq. (31).…”

Section: B Wigner Representation Of Time Correlation Functionsmentioning

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%

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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: Simulations Of Qgpcontrasting

confidence: 99%

Section: B Wigner Representation Of Time Correlation Functionsmentioning

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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“…Independently the same ideas were implemented in terms of molecular dynamics (MD) [10] which allows one to treat soft processes in the QGP that are not accessible by perturbative means. On the other hand, recently a quantum-statistical approach to the thermodynamic properties of the nonideal QGP has been developed that is based on path integral Monte Carlo (PIMC) [11][12][13][14][15][16][17][18]. This approach extends the above mentioned classical nonrelativistic models in two important ways: first, it includes quantum and spin effects and, second, it takes into account the dominant relativistic effects.…”

Section: Introductionmentioning

confidence: 99%

Color path integral equation of state of the quark–gluon plasma at nonzero chemical potential

Филинов

Bönitz

Ivanov

et al. 2015

Plasma Phys. Control. Fusion

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Based on the constituent quasiparticle model of the quark-gluon plasma (QGP), a color quantum path-integral Monte-Carlo (PIMC) method for calculation of the thermodynamic properties of the QGP is developed. We show that the PIMC method can be used for calculations of the equation of state at zero and non-zero baryon chemical potential not only above but also below the QCD critical temperature. Our results agree with lattice QCD calculations based on a Taylor expansion around zero baryon chemical potential. In our approach the QGP partition function is presented in the form of a color path integral with a relativistic measure replacing the Gaussian one traditionally used in the Feynman-Wiener path integrals. A procedure of sampling color variables according to the SU(3) group Haar measure is used for integration over the color variables. We expect that this approach will be useful to predict additional properties of the QGP that are still unaccesible in lattice QCD.

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