Soft amplitudes in hot gauge theories: A general analysis

Braaten, Eric; Pisarski, Robert D.

doi:10.1016/0550-3213(90)90508-b

Cited by 1,213 publications

(1,248 citation statements)

References 36 publications

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“…2 (right). Both results are compared to a dilepton spectrum calculated within the hard thermal loop approximation [13]. In the limit of vanishing ω one can read of the electrical conductivity (2.7) from Fig.…”

Section: Results For Correlators and Spectral Function Fitsmentioning

confidence: 99%

Temperature dependence of electrical conductivity and dilepton rates from hot quenched lattice QCD

Kaczmarek

Müller²

2014

Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013)

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We present new results on the continuum extrapolation of the vector current correlation function in the deconfined phase for three temperatures close to the critical temperature utilizing quenched clover improved Wilson fermions and light quark masses. A systematic analysis on multiple lattice spacing allows to perform the continuum limit of the correlation function and to extract spectral properties in the continuum limit. These results provide constraints for the electrical conductivity and the thermal dilepton rates in the quark gluon plasma for the given temperature range. In addition results on the continuum extrapolation at finite momenta related to thermal photon rates are presented.

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Section: Results For Correlators and Spectral Function Fitsmentioning

confidence: 99%

Temperature dependence of electrical conductivity and dilepton rates from hot quenched lattice QCD

Kaczmarek

Müller²

2014

Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013)

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“…of the kinetic equation (6.14) in terms of HTL-amplitudes [9,27,28]. Actually, by the definition of theΣ-function (5.9) the coefficient in front of…”

Section: Htl-amplitudesmentioning

confidence: 99%

The Boltzmann equation for colourless plasmons in hot QCD plasma. Semiclassical approximation

Markov¹,

Markova²

2001

J. Phys. G: Nucl. Part. Phys.

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Within the framework of the semiclassical approximation, we derive the Boltzmann equation describing the dynamics of colorless plasmons in a hot QCD plasma. The probability of the plasmon-plasmon scattering at the leading order in the coupling constant is obtained. This probability is gauge-independent at least in the class of the covariant and temporal gauges. It is noted that the structure of the scattering kernel possesses important qualitative difference from the corresponding one in the Abelian plasma, in spite of the fact that we focused our study on the colorless soft excitations. It is shown that four-plasmon decay is suppressed by the power of g relative to the process of nonlinear scattering of plasmons by thermal particles at the soft momentum scale. It is stated that the former process becomes important in going to the ultrasoft region of the momentum scale.

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“…(25)- (26)) would break gauge invariance in a gauge theory. As is well-known from the Ward identities for Hard Thermal Loops (HTLs) [39,40], both propagators and vertices must be HTL resummed to preserve gauge invariance. In our case, throwing away these independent scattering processes would prevent getting the necessary thermal corrections to the vertices needed for preserving gauge invariance.…”

Section: First Consider Point (I)mentioning

confidence: 99%

“…(39). First, K A is made of the thermal propagators G 11 (q) and G 22 (q) while {p j }|M|k, {l i } contains only the vacuum ones (G 0 F (q) and G 0 * F (q)).…”

Section: Approximationsmentioning

confidence: 99%

All orders Boltzmann collision term from the multiple scattering expansion of the self-energy

Fillion‐Gourdeau¹,

Gagnon²,

Jeon³

2007

Nuclear Physics A

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Starting from the Kadanoff-Baym relativistic transport equation and the multiple scattering expansion of the self-energy, we obtain the Boltzmann collision terms for any number of participating particles to all orders in perturbation theory within a quasi-particle approximation. This work completes a program initiated by Carrington and Mrówczyński and developed further by present authors and Weinstock in recent literature.

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Soft amplitudes in hot gauge theories: A general analysis

Cited by 1,213 publications

References 36 publications

Temperature dependence of electrical conductivity and dilepton rates from hot quenched lattice QCD

Temperature dependence of electrical conductivity and dilepton rates from hot quenched lattice QCD

The Boltzmann equation for colourless plasmons in hot QCD plasma. Semiclassical approximation

All orders Boltzmann collision term from the multiple scattering expansion of the self-energy

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