Quantum Color Dynamic Simulations of the Strongly Coupled Quark‐Gluon Plasma

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

doi:10.1002/ctpp.201010125

Cited by 8 publications

(7 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The basic ideas of this approach have been briefly reported in Ref. [33]. In this paper we gave a more detailed description.…”

Section: Discussionmentioning

confidence: 99%

“…Notice that color degrees of freedom are also in the Wigner representation, because Q includes both color canonical coordinated and momenta; see Appendix A. Now the WLE is defined by a equation of the form [33,53] ∂w ∂t…”

Section: A Wigner Dynamics Of Color Particlesmentioning

confidence: 99%

“…The basic ideas of this approach have been published in Ref. [33]. This method is applicable to systems with arbitrary strong interaction.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

et al. 2013

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…The basic ideas of this approach have been briefly reported in Ref. [33]. In this paper we gave a more detailed description.…”

Section: Discussionmentioning

confidence: 99%

Section: A Wigner Dynamics Of Color Particlesmentioning

confidence: 99%

See 1 more Smart Citation

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

et al. 2013

Self Cite

View full text Add to dashboard Cite

show abstract

“…We have developed such "color PIMC" simulations in recent years, e.g. [10][11][12] focusing on zero baryon chemical potential. Here we extend these simulations to the important case of finite chemical potential.…”

Section: Basics Of the Qgp Model And Comparison With Pimc For Plasmasmentioning

confidence: 99%

Thermodynamics of the Quark‐Gluon Plasma at Finite Chemical Potential: Color Path Integral Monte Carlo Results

Филинов

Bönitz

Ivanov

et al. 2015

Contrib. Plasma Phys.

Self Cite

View full text Add to dashboard Cite

Key words strongly coupled plasma, quark gluon plasma PACS 12.38Mh, 31.15.Qg, 51.20.+d, 52.27Gr Based on the constituent quasiparticle model of the quark-gluon plasma (QGP), color quantum path-integral Monte-Carlo (PIMC) calculations of the thermodynamic properties of the QGP are performed. We extend our previous zero chemical potential simulations to the QGP at finite baryon chemical potential. The results indicate that color PIMC can be applied not only above the QCD critical temperature Tc but also below Tc. Besides reproducing the lattice equation of state our approach yields also valuable additional insight into the internal structure of the QGP, via the pair distribution functions of the various quasiparticles. In particular, the pair distribution function of gluons reflects the existence of gluon-gluon bound states at low temperatures and µ = 175 MeV, i.e. glueballs, while meson-like bound states are not found.Copyright line will be provided by the publisher 1 Basics of the QGP model and comparison with PIMC for plasmas Strongly correlated charged particle systems have attracted growing interest over the recent three decades in many fields. This includes laser compressed plasmas [1], ions in traps, dusty plasmas [2] or dense plasmas in planet cores. For the theoretical description of dense quantum plasmas path integral Monte Carlo (PIMC) simulations have proved particularly successful, e.g. [3,4]. A few years ago experiments at the Relativistic Heavy-Ion Collider (RHIC) at Brookhaven National Laboratory [5] and at the Large Hadron Collider (LHC) at CERN [6] have produced an unconfined quark-gluon plasma (QGP) which turned out to behave as a nonideal liquid [5,7], Although equilibrium properties of the strongly QGP are successfully computed using lattice QCD [5,8,9], these simulations are very time consuming and not easy to interpret. Also, they fail, e.g. at large quark chemical potential. Based on the above mentioned experience with PIMC simulations of strongly correlated Coulomb systems it is, therefore, tempting to make these methods available also for the description of the QGP. We have developed such "color PIMC" simulations in recent years, e.g. [10][11][12] focusing on zero baryon chemical potential. Here we extend these simulations to the important case of finite chemical potential. In the following we briefly discuss the model [13] and present first results for the thermodynamic properties.To start with we provide a comparison of an ("electromagnetic") electron-ion plasma and a quark gluon plasma, see Table 1, since this provides the basis to understand the main physical ingredients required for realistic color PIMC simulations. Although QCD was constructed in analogy to quantum electrodynamics there exist fundamental differences. While Coulomb interacting charges are mapped on fermions (or bosons) whose interaction is mediated by (usually weakly interacting) photons the situation in QCD is different. Here also the field particles (gluons) providing the interaction between fermions (quarks and...

show abstract

“…Correlation functions and kinetic coefficients are calculated as averages of Weyl's symbols of dynamic operators along these trajectories. The basic ideas of this approach have been published in [18]. Using this approach we are going to calculate diffusion coefficient and viscosity of the strongly coupled QGP.…”

Section: Introductionmentioning

confidence: 99%

Color path-integral Monte Carlo simulations of quark-gluon plasma

Filinov,

Ivanov,

Bonitz

et al. 2012

Preprint

Self Cite

View full text Add to dashboard Cite

Thermodynamic properties of a strongly coupled quark-gluon plasma (QGP) of constituent quasiparticles is studied by a color path-integral Monte-Carlo simulations (CPIMC). For our simulations we have presented QGP partition function in the form of color path integral with new relativistic measure instead of Gaussian one used in Feynman and Wiener path integrals. For integration over color variable we have also developed procedure of sampling color variables according to the group SU(3) Haar measure. It is shown that this method is able to reproduce the available quantum lattice chromodynamics (QCD) data.

show abstract

Quantum Color Dynamic Simulations of the Strongly Coupled Quark‐Gluon Plasma

Cited by 8 publications

References 41 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

Thermodynamics of the Quark‐Gluon Plasma at Finite Chemical Potential: Color Path Integral Monte Carlo Results

Color path-integral Monte Carlo simulations of quark-gluon plasma

Contact Info

Product

Resources

About