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Classical Transport Theory and Hard Thermal Loops in the Quark-Gluon Plasma
High Energy Physics - Phenomenology · Submitted 10 Jun 1994
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This derivation is more direct than alternative ones based on perturbative quantum field theory, and shows that hard thermal effects in hot QCD are essentially {\it classical}.
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The abstract, sentence by sentence
Classical transport theory for colored particles is investigated and employed to derive the hard thermal loops of QCD. A formal construction of phase-space for color degrees of freedom is presented. The gauge invariance of the non-Abelian Vlasov equations is verified and used as a guiding principle in our approximation scheme.We then derive the generating functional of hard thermal loops from a constraint satisfied at leading-order by the color current. This derivation is more direct than alternative ones based on perturbative quantum field theory, and shows that hard thermal effects in hot QCD are essentially {\it classical}. As an illustration, we analyze color polarization in the QCD plasma.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Classical transport theory for colored particles is investigated and employed to derive the hard thermal loops of QCD. | contribution 0.91 | 0.90 | 0.18 | asserted 0.99 |
| s1 | A formal construction of phase-space for color degrees of freedom is presented. | method 0.53 | 0.92 | 0.03 | asserted 0.99 |
| s2 | The gauge invariance of the non-Abelian Vlasov equations is verified and used as a guiding principle in our approximation scheme.We then derive the generating functional of hard thermal loops from a constraint satisfied at leading-order by the color current. | method 0.88 | 0.94 | 0.09 | asserted 1.00 |
| s3 | This derivation is more direct than alternative ones based on perturbative quantum field theory, and shows that hard thermal effects in hot QCD are essentially {\it classical}. | interpretation 0.95 | 0.92 | 0.77 | asserted 1.00 |
| s4 | As an illustration, we analyze color polarization in the QCD plasma. | contribution 0.82 | 0.93 | 0.03 | unclear 0.50 |
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The paper
Original abstract
Classical transport theory for colored particles is investigated and employed to derive the hard thermal loops of QCD. A formal construction of phase-space for color degrees of freedom is presented. The gauge invariance of the non-Abelian Vlasov equations is verified and used as a guiding principle in our approximation scheme.We then derive the generating functional of hard thermal loops from a constraint satisfied at leading-order by the color current. This derivation is more direct than alternative ones based on perturbative quantum field theory, and shows that hard thermal effects in hot QCD are essentially {\it classical}. As an illustration, we analyze color polarization in the QCD plasma.
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References
How the literature uses it
18 arXiv papers cite this in 25 sentences
Papers whose main result relates to this one's
States the same result 2 papers
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Our approach, besides being more direct than alternative ones, shows that hard thermal loops are essentially classical.
Deriving the Hard Thermal Loops of QCD from Classical Transport Theory · 1.00
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This derivation is more direct than alternative ones based on perturbative quantum field theory, and shows that hard thermal effects in hot QCD are essentially classical.
Classical Kinetics of Hard Thermal Phenomena in High Temperature QCD · 1.00
Papers citing it · 15 sentences without a confident label
Builds on it 1 paper
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Since we compute scattering processes, we need the generalization of hard thermal loops (HTL's) [ref] to nonzero holonomy [ref] .
Shear and bulk viscosity for a pure glue theory using an effective matrix model · Introduction · 0.86
Uses its method or tool 3 papers
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These effects can be analyzed within a mean-field approximation of the (truncated) Schwinger-Dyson equations [ref] , or by simply adopting classical transport equations for high-momentum particles [ref] .
Debye Screening of Non-Abelian Plasmas in Curved Spacetimes · Induced Current · 0.80
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Here, we largely follow the seminal works on classical non-Abelian transport theory [ref] .
Simulating jets and heavy quarks in the Glasma using the colored particle-in-cell method · Classical color charges · 0.86
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In this limiting case, one may integrate over the color charge degrees of freedom using the classical color averages [ref] [equation] In general, classical color charge averages are done as [equation] with $X$ any $n$-point function of $Q^a$.
Light-front Hamiltonian jet evolution in the Glasma · Classical jets in Glasma · 0.84
Compares with it 1 paper
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where the currents $Π^a_1 ⋯a_n_μ_1 ⋯μ_n$ thus obtained match those obtained in the high temperature limit of QCD [ref] .
On kinetic theories with color and spin from amplitudes · Thermal currents and the classical limit · 0.98
Cites it as support 2 papers
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One can thus conclude that HTL are classical [ref] .
A scattering amplitudes approach to hard thermal loops · From kinetic theory to classical limits of off-shell currents · 0.96
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The fact that to zeroth order in the collision term an infinite quantum thermal loop summation leads to a classical Vlasov equation [ref] ilustrates how careful must we be with any such expansion: Basically the expansion in correlations, in $ħ$ and in temperature do not commute.
The functional generalization of the Boltzmann-Vlasov equation and its Gauge-like symmetry · Transport in quantum mechanics and field theory · 0.97
Cites it as background 3 papers
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Wong's equations represent the equations of motion for classical test particles [ref] .
Heavy flavor angular correlations as a direct probe of the glasma · Introduction · 0.82
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A semi-classical approximation, based on a quasiparticle picture has been introduced in Refs. [ref] .
Color path-integral Monte-Carlo simulations of quark-gluon plasma: Thermodynamic and transport properties · Introduction · 0.91
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The equations of motion for a classical point particle with color charge in a soft gauge-field background are well known [ref] :
Debye Screening of Non-Abelian Plasmas in Curved Spacetimes · Induced Current · 0.82
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