The quark gluon plasma: Lattice computations put to experimental test

Gupta, Sourendu

doi:10.1007/bf02704456

Cited by 8 publications

(7 citation statements)

References 76 publications

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“…The advantage is that the formalism of Section II B can be used to compute second derivatives of the free energy as operator expectation values. If the EOS were to be evaluated by the "integral" method, then these quantities could only be evaluated by numerical differentiation [23], which is a less attractive solution.…”

Section: On the Methodsmentioning

confidence: 99%

Speed of sound and specific heat in the QCD plasma: Hydrodynamics, fluctuations, and conformal symmetry

2005

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We report the continuum limits of the speed of sound, Cs, and the specific heat at constant volume, CV , in quenched QCD at temperatures of 2Tc and 3Tc. At these temperatures, Cs is within 2-σ of the ideal gas value, whereas CV differs significantly from the ideal gas. However, both are compatible with results expected in a theory with conformal symmetry. We investigate effective measures of conformal symmetry in the high temperature phase of QCD.

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Section: On the Methodsmentioning

confidence: 99%

Speed of sound and specific heat in the QCD plasma: Hydrodynamics, fluctuations, and conformal symmetry

2005

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“…This new form of matter is thought to be a fluid of strongly interacting quarks and gluons. In lattice studies of quenched QCD it was found earlier that the entropy density s [2,3] and the mean free time τ , derived from the electrical conductivity [4], together gave rise to a dimensionless number τ s 1/3 ≈ 0.8 [5]. In the non-relativistic limit this dimensionless number measures the mean free path in units of interparticle spacing, and is therefore large in a gas but of order unity in a liquid.…”

Section: Introductionmentioning

confidence: 99%

Lattice quantum chromodynamics equation of state: A better differential method

2008

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We propose a better differential method for the computation of the equation of state of QCD from lattice simulations. In contrast to the earlier differential method, our technique yields positive pressure for all temperatures including the temperatures in the transition region. Employing it on temporal lattices of 8, 10 and 12 sites and by extrapolating to zero lattice spacing we obtained the pressure, energy density, entropy density, specific heat and speed of sound in quenched QCD for 0.9 ≤ T /Tc ≤ 3. At high temperatures comparisons of our results are made with those from the dimensional reduction approach and also with those from a conformal symmetric theory.

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“…Dimensionally, τ π = a/T , where a is dimensionless, and becomes constant when the fluid has conformal symmetry. This dimensionless number is proportional to the quantity called liquidity [28] which, in non-relativistic fluids, measures the mean-free path (proportional to τ π ) in units of the interparticle spacing (proportional to 1/s 1/3 ∼ 1/T ). In a gas, this number is very large, in liquids, small.…”

Section: A Materials Properties At Vanishing Chemical Potentialmentioning

confidence: 99%

Aspects of causal viscous hydrodynamics

Bhalerao

Gupta

2008

Phys. Rev. C

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We investigate the phenomenology of freely expanding fluids, with different material properties, evolving through the Israel-Stewart (IS) causal viscous hydrodynamics, and compare our results with those obtained in the relativistic Eckart-Landau-Navier-Stokes (ELNS) acausal viscous hydrodynamics. Through the analysis of scaling invariants we give a definition of thermalization time which can be self-consistently determined in viscous hydrodynamics. Next we construct the solutions for one-dimensional boost-invariant flows. Expansion of viscous fluids is slower than that of one-dimensional ideal fluids, resulting in entropy production. At late times, these flows are reasonably well approximated by solutions obtained in ELNS hydrodynamics. Estimates of initial energy densities from observed final values are strongly dependent on the dynamics one chooses. For the same material, and the same final state, IS hydrodynamics gives the smallest initial energy density. We also study fluctuations about these one-dimensional boost-invariant backgrounds; they are damped in ELNS hydrodynamics but can become sound waves in IS hydrodynamics. The difference is obvious in power spectra due to clear signals of wave-interference in IS hydrodynamics, which is completely absent in ELNS dynamics.

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The quark gluon plasma: Lattice computations put to experimental test

Cited by 8 publications

References 76 publications

Speed of sound and specific heat in the QCD plasma: Hydrodynamics, fluctuations, and conformal symmetry

Speed of sound and specific heat in the QCD plasma: Hydrodynamics, fluctuations, and conformal symmetry

Lattice quantum chromodynamics equation of state: A better differential method

Aspects of causal viscous hydrodynamics

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