Evolution to the quark–gluon plasma

Fukushima, Kenji

doi:10.1088/1361-6633/80/2/022301

Cited by 27 publications

(30 citation statements)

References 138 publications

(278 reference statements)

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“…There has been some work on the analytical front [1,22,23] and several numerical investigations [1,13,[24][25][26][27][28][29][30][31]. Because correlation functions can indeed be measured in relevant scenarios -perhaps even in QG plasma [8,9,[32][33][34] -and interesting implications for the gravitational field follow from holography, it is of interest to further investigate relativistic turbulence.…”

Section: Jhep08(2017)027mentioning

confidence: 99%

Numerical measurements of scaling relations in two-dimensional conformal fluid turbulence

Westernacher-Schneider

Lehner

2017

J. High Energ. Phys.

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We present measurements of relativistic scaling relations in (2+1)-dimensional conformal fluid turbulence from direct numerical simulations, in the weakly compressible regime. These relations were analytically derived previously in [1] for a relativistic fluid; this work is a continuation of that study, providing further analytical insights together with numerical experiments to test the scaling relations and extract other important features characterizing the turbulent behavior. We first explicitly demonstrate that the nonrelativistic limit of these scaling relations reduce to known results from the statistical theory of incompressible Navier-Stokes turbulence. In simulations of the inverse-cascade range, we find the relevant relativistic scaling relation is satisfied to a high degree of accuracy. We observe that the non-relativistic versions of this scaling relation underperform the relativistic one in both an absolute and relative sense, with a progressive degradation as the rms Mach number increases from 0.14 to 0.19. In the direct-cascade range, the two relevant relativistic scaling relations are satisfied with a lower degree of accuracy in a simulation with rms Mach number 0.11. We elucidate the poorer agreement with further simulations of an incompressible Navier-Stokes fluid. Finally, as has been observed in the incompressible Navier-Stokes case, we show that the energy spectrum in the inversecascade of the conformal fluid exhibits k −2 scaling rather than the Kolmogorov/Kraichnan expectation of k −5/3 , and that it is not necessarily associated with compressive effects. We comment on the implications for a recent calculation of the fractal dimension of a turbulent (3 + 1)-dimensional AdS black brane.

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Section: Jhep08(2017)027mentioning

confidence: 99%

Numerical measurements of scaling relations in two-dimensional conformal fluid turbulence

Westernacher-Schneider

Lehner

2017

J. High Energ. Phys.

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“…An important example concerns the early stages of a relativistic heavy-ion collision (for recent reviews see [14,15], and [11][12][13]16] for current perturbative kinetic descriptions). In this situation, typical gauge boson occupancies can become non-perturbatively large at low momenta below the Debye mass scale.…”

Section: Introductionmentioning

confidence: 99%

Large- N kinetic theory for highly occupied systems

2018

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We consider an effective kinetic description for quantum many-body systems, which is not based on a weak-coupling or diluteness expansion. Instead, it employs an expansion in the number of field components N of the underlying scalar quantum field theory. Extending previous studies, we demonstrate that the large-N kinetic theory at next-to-leading order is able to describe important aspects of highly occupied systems, which are beyond standard perturbative kinetic approaches. We analyze the underlying quasiparticle dynamics by computing the effective scattering matrix elements analytically and solve numerically the large-N kinetic equation for a highly occupied system far from equilibrium. This allows us to compute the universal scaling form of the distribution function at an infrared nonthermal fixed point within a kinetic description, and we compare to existing lattice field theory simulation results.

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“…The charmonium suppression in heavy ion collisions may be understood by an entropic interquark force [28][29][30][31], and the chaos could provide the entropy in a manner similar to [32][33][34]. At the deconfinement a turbulent behavior is expected [35,36], and the scaling of excited meson numbers [37][38][39] can be attributed to the chaos of mesons [40] and chaos of the QCD string. Let us briefly review the suspended string in AdS black hole geometry, with emphasis also on an unstable solution which probes the horizon.…”

Section: Introductionmentioning

confidence: 99%

Chaos of Wilson loop from string motion near black hole horizon

2018

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To find the origin of chaos near black hole horizon in string-theoretic AdS/CFT correspondence, we perform a chaos analysis of a suspended string in AdS black hole backgrounds. It has a definite CFT interpretation: chaos of Wilson loops, or in other words, sensitive time-evolution of a quark antiquark force in thermal gauge theories. Our nonlinear numerical simulation of the suspended Nambu-Goto string shows chaos, which would be absent in pure AdS background. The calculated Lyapunov exponent λ satisfies the universal bound λ ≤ 2πTH for the Hawking temperature TH. We also analyze a toy model of a rectangular string probing the horizon and show that it contains a universal saddle characterized by the surface gravity 2πTH. Our work demonstrates that the black hole horizon is the origin of the chaos, and suggests a close interplay between chaos and quark deconfinement.

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Evolution to the quark–gluon plasma

Cited by 27 publications

References 138 publications

Numerical measurements of scaling relations in two-dimensional conformal fluid turbulence

Numerical measurements of scaling relations in two-dimensional conformal fluid turbulence

Large- N kinetic theory for highly occupied systems

Chaos of Wilson loop from string motion near black hole horizon

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