2010
DOI: 10.1103/physrevc.82.044908
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Spectral densities for hot QCD plasmas in a leading-log approximation

Abstract: We compute the spectral densities of T µν and J µ in high temperature QCD plasmas at small frequency and momentum, ω, k ∼ g 4 T . The leading log Boltzmann equation is reformulated as a Fokker Planck equation with non-trivial boundary conditions, and the resulting partial differential equation is solved numerically in momentum space. The spectral densities of the current, shear, sound, and bulk channels exhibit a smooth transition from free streaming quasi-particles to ideal hydrodynamics. This transition is a… Show more

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Cited by 69 publications
(103 citation statements)
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“…This may be an indication of different non-trivial small frequency behavior as suggested in Ref. [15]. Note that calculations in Ref.…”
Section: Lattice Qcd Resultsmentioning
confidence: 90%
See 1 more Smart Citation
“…This may be an indication of different non-trivial small frequency behavior as suggested in Ref. [15]. Note that calculations in Ref.…”
Section: Lattice Qcd Resultsmentioning
confidence: 90%
“…Note that calculations in Ref. [15] are done for the light quark modes thus it would be more suitable to have a follow up study on the momentum dependences of the light correlation functions after Ref. [16].…”
Section: Lattice Qcd Resultsmentioning
confidence: 99%
“…(i) The correlation function at τ T = 1/2 is about 2% larger than the corresponding free field value, G ii (1/2)/G f ree ii (1/2) = 1.024 (8) (ii) The deviation from the free field value increases with decreasing Euclidean time. At τ T = 1/4 the ratio is G ii (1/4)/G f ree ii (1/4) = 1.051 (7) (iii) The second moment of the vector spectral function deviates from the free field value by about 7%, G…”
Section: Analysis Of the Vector Current Correlation Functionmentioning
confidence: 99%
“…Depending on the invariant mass regime one can get information on in-medium properties of heavy [1] and light [2] quark bound states. For low invariant masses one enters the hydrodynamic regime where spectral functions reflect transport properties of the thermal medium [3][4][5][6][7][8]. In the case of the vector correlation function and its spectral representation this is characterized by a transport coefficient, the electrical conductivity.…”
Section: Introductionmentioning
confidence: 99%
“…It is not difficult to extract the logarithmic dependence on µ for µ T . Indeed, let us consider for illustration a leading-log approximation to C 2↔2 [µ]: we expand the distribution function and matrix elements to second order in the exchange momentum Q and arrive at a Fokker-Planck equation [21][22][23] for f p…”
Section: The Kinetic Picture At Leading Ordermentioning
confidence: 99%