Structure functions and pair correlations of the quark-gluon plasma

Thoma, Markus H.

doi:10.1103/physrevd.72.094030

Cited by 13 publications

(14 citation statements)

References 26 publications

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“…The factor 4π in the denominator comes from using the Heavyside-Lorentz system in QCD as discussed in the Introduction. The distance parameter κ of the QGP under the above conditions is rather small, typically between 1 and 3 (98). It should be noted, that we have assumed here a classical interaction potential corresponding to a one-gluon exchange.…”

Section: Strongly Coupled Plasmasmentioning

confidence: 99%

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What Do Electromagnetic Plasmas Tell Us about the Quark-Gluon Plasma?

Mrówczyński

Thoma

2007

Annu. Rev. Nucl. Part. Sci.

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Since the quark-gluon plasma (QGP) reveals some obvious similarities to the well-known electromagnetic plasma (EMP), an accumulated knowledge on EMP can be used in the QGP studies. After discussing similarities and differences of the two systems, we present theoretical tools which are used to describe the plasmas. The tools include: kinetic theory, hydrodynamic approach and diagrammatic perturbative methods. We consider collective phenomena in the plasma with a particular emphasis on instabilities which crucially influence temporal evolution of the system. Finally, properties of strongly coupled plasma are discussed.

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Section: Strongly Coupled Plasmasmentioning

confidence: 99%

“…In particular, the pair correlation function and the static structure function provide valuable information on the equation of state of the system (100). The extension of the approach to the QGP has been proposed in (98).…”

Section: Strongly Coupled Plasmasmentioning

confidence: 99%

What Do Electromagnetic Plasmas Tell Us about the Quark-Gluon Plasma?

Mrówczyński

Thoma

2007

Annu. Rev. Nucl. Part. Sci.

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“…In short, we generalize the Yukawa-liquid model for the QGP investigated in Refs. [48,49] before. For a detailed explanation of this interaction we refer the reader to Ref.…”

Section: The Virial Expansion Approach To Qcdmentioning

confidence: 99%

Shear viscosity of the Quark–Gluon Plasma from a virial expansion

Mattiello

Cassing²

2010

Eur. Phys. J. C

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We calculate the shear viscosity η in the quark-gluon plasma (QGP) phase within a virial expansion approach with particular interest in the ratio of η to the entropy density s, i.e. η/s. The virial expansion approach allows us to include the interactions between the partons in the deconfined phase and to evaluate the corrections to a single-particle partition function. In the latter approach we start with an effective interaction with parameters fixed to reproduce thermodynamical quantities of QCD such as energy and/or entropy density. We also directly extract the effective coupling αV for the determination of η. Our numerical results give a ratio η/s ≈ 0.097 at the critical temperature Tc, which is very close to the theoretical bound of 1/(4π). Furthermore, for temperatures T ≤ 1.8Tc the ratio η/s is in the range of the present experimental estimates 0.1 − 0.3 at RHIC. When combining our results for η/s in the deconfined phase with those from chiral perturbation theory or the resonance gas model in the confined phase we observe a pronounced minimum of η/s close to the critical temperature Tc.PACS. 12.38.Mh Quark-gluon plasma -25.75.Nq Phase transition in Quark-gluon plasma -21.65.Qr Quark matter/nuclear matter -51.20.+d Viscosity, diffusion, and thermal conductivity

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“…A general question then comes to mind: what observable can be used to characterize the liquid nature of a system described by a quantum field theory [9]? And secondly, what is the QCD prediction for that observable?…”

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Density, short-range order, and the quark-gluon plasma

Meyer

2009

Phys. Rev. D

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We study the thermal part of the energy density spatial correlator in the quark-gluon plasma. We describe its qualitative form at high temperatures. We then calculate it out to distances ≈ 1.5/T in SU(3) gauge theory lattice simulations for the range of temperatures 0.9 ≤ T /Tc ≤ 2.2. The vacuum-subtracted correlator exhibits non-monotonic behavior, and is almost conformal by 2Tc. Its broad maximum at r ≈ 0.6/T suggests a dense medium with only weak short-range order, similar to a non-relativistic fluid near the liquid-gas phase transition, where η/s is minimal.PACS numbers: 12.38. Gc, 12.38.Mh, Hydrodynamics calculations [1] successfully described the pattern of produced particles in heavy ion collisions at RHIC [2]. This early agreement between ideal hydrodynamics and experiment has been refined in recent times. On the theory side, the dissipative effects of shear viscosity η have been included in full 3d hydrodynamics calculations [3,4,5] and the sensitivity to initial conditions quantitatively estimated [6] for the first time. On the experimental side, the elliptic flow observable v 2 , which is sensitive to the value of η in units of entropy density s, is now corrected for non-medium-generated twoparticle correlations [7]. The conclusion that η/s must be much smaller than unity has so far withstood these refinements of heavy-ion phenomenology [6].The smallness of η/s was turned into the statement that the quark-gluon plasma (QGP) formed at RHIC is the "most perfect liquid known in nature" [8]. A general question then comes to mind: what observable can be used to characterize the liquid nature of a system described by a quantum field theory [9]? And secondly, what is the QCD prediction for that observable? This leads us to remind ourselves what the defining property of an ordinary liquid is. Surely the everyday-life notion that a liquid "has a definite volume, but no definite shape" is inadequate in the present context.The two-body density distribution ρ(r 1 , r 2 ) = g(r)ρ 2 of an ordinary substance (such as water) of density ρ behaves qualitatively differently in the solid, liquid and gas phase (see for instance [10]). The radial distribution function g(r) characterizes the average density of particles at distance r from an arbitrarilty chosen particle. In a dilute gas, g(r) is essentially equal to 1 for r greater than the size of a molecule. In a liquid on the other hand, g(r) vanishes at small r, a reflexion of the short-distance repulsion between molecules. The function then rises and typically exhibits several gradually damped oscillations around unity. This reflects the "short-range order" in the fluid, namely the coherent motion of closely packed * Electronic address: meyerh@mit.edu molecules up to distances a few times the molecule size. Over longer distances, this ordering is lost. Only a perfect crystal at low temperatures exihibits truly long-range order.In quantum field theory, particle number is not (necessarily) conserved, so it is not immediately clear which spatial correlator is the closest ...

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Structure functions and pair correlations of the quark-gluon plasma

Cited by 13 publications

References 26 publications

What Do Electromagnetic Plasmas Tell Us about the Quark-Gluon Plasma?

What Do Electromagnetic Plasmas Tell Us about the Quark-Gluon Plasma?

Shear viscosity of the Quark–Gluon Plasma from a virial expansion

Density, short-range order, and the quark-gluon plasma

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