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Color path-integral Monte-Carlo simulations of quark-gluon plasma: Thermodynamic and transport properties
Nuclear Theory · Submitted 9 Oct 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our results indicate that the QGP reveals quantum liquid-like (rather than gas-like) properties up to the highest considered temperature of 525 MeV.
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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 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. 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 liquid-like (rather than gas-like) 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 meson-like $q\bar{q}$ 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, $1/4\pi < \eta/S < 2.5/4\pi$, in the temperature range from 170 to 440 MeV.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Based on the quasiparticle model of the quark-gluon plasma (QGP), a color quantum path-integral Monte-Carlo (PIMC) method for calculation of thermodynamic properties and -- closely related to the latter -- a Wigner dynamics method for calculation of transport properties of the QGP are formulated. | contribution 0.59 | 0.93 | 0.07 | asserted 0.99 |
| s1 | 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. | method 0.88 | 0.89 | 0.04 | asserted 1.00 |
| s2 | 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. | result 0.98 | 0.94 | 0.23 | asserted 1.00 |
| s3 | Our results indicate that the QGP reveals quantum liquid-like (rather than gas-like) properties up to the highest considered temperature of 525 MeV. | result 0.65 | 0.94 | 0.43 | hedged possibility 0.95 |
| s4 | The pair distribution functions clearly reflect the existence of gluon-gluon bound states, i.e. glueballs, at temperatures just above the phase transition, while meson-like $q\bar{q}$ bound states are not found. | result 0.99 | 0.95 | 0.13 | asserted 1.00 |
| s5 | 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. | result 1.00 | 0.92 | 0.12 | asserted 0.96 |
| s6 | The lattice and heavy-quark-quenching results on the heavy-quark diffusion are still rather diverse. | background 0.66 | 0.08 | 0.03 | asserted 0.96 |
| s7 | 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, $1/4\pi < \eta/S < 2.5/4\pi$, in the temperature range from 170 to 440 MeV. | result 1.00 | 0.89 | 0.13 | asserted 0.98 |
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Original abstract
Based on the quasiparticle model of the quark-gluon plasma (QGP), a color quantum path-integral Monte-Carlo (PIMC) method for 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. 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 liquid-like (rather than gas-like) 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 meson-like $q\bar{q}$ 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, $1/4\pi < \eta/S < 2.5/4\pi$, in the temperature range from 170 to 440 MeV.
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What this paper does with the arXiv papers it cites
What it cites · 45 sentences without a confident label
Builds on 1 paper
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In this paper we extend the previous classical nonrelativistic simulations [ref] in two ways: first, we include quantum and spin effects and, second, we take into account the dominant relativistic effects, cf. section [ref].
Classical Strongly Coupled QGP II: Screening and Equation of State · Introduction · 1.00
Uses the method or tool of 2 papers
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We use so called “one-loop analytic coupling” [ref]
On the running coupling constant in QCD · Simulations of QGP · 0.96
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The explicit transformations to canonical variables are given [ref] by expressions: Q_1=π_+π_-cosϕ_1, Q_2=π_+π_-sinϕ_1, Q_3=π_1, Q_4=C_++π_+A + C_+-π_-B, Q_5=S_++π_+A + S_+-π_-B, Q_6=C_-+π_-A + C_–π_+B, Q_7=S_-+π_-A - S_–π_+B, Q_8=π_2
Mean Field Dynamics in Non-Abelian Plasmas from Classical Transport Theory · Appendix I: Integration over SU(3) group Haar measure · 0.91
Compares with 10 papers
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Our results (labeled as “Wigner dynamics”) well agree with lattice data of Ref. [ref] , while essentially overestimate those of Ref. [ref] .
Charmonium properties in hot quenched lattice QCD · Transport coefficients · 1.00
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Our results (labeled as “Wigner dynamics”) well agree with lattice data of Ref. [ref] , while essentially overestimate those of Ref. [ref] .
Heavy Quark Momentum Diffusion Coefficient from Lattice QCD · Transport coefficients · 1.00
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compared with heavy-quark diffusion constants predicted by QCD lattice computations [ref] [c-quark, lattice (Ding et al.2011)] and [ref] [c-quark, lattice (Banerjee et al. 2012)], and deduced from analysis of experimental data [ref] [c-quark, “exp.” (Gossiaux at al. 2012)] and [ref] [c-quark, “exp.” (He at al. 2012)].
Theory of heavy quark energy loss · Transport coefficients · 0.95
Cites as background 12 papers
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A semi-classical approximation, based on a quasiparticle picture has been introduced in Refs. [ref] .
Molecular dynamics simulation of strongly coupled QCD plasmas · Introduction · 0.91
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A semi-classical approximation, based on a quasiparticle picture has been introduced in Refs. [ref] .
A remark on non-Abelian classical kinetic theory · Introduction · 0.91
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A semi-classical approximation, based on a quasiparticle picture has been introduced in Refs. [ref] .
Local equilibrium of the quark-gluon plasma · Introduction · 0.91
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