Damping rate of a hard photon in a relativistic plasma

Thoma, M.H.

doi:10.1103/physrevd.51.862

Cited by 35 publications

(45 citation statements)

References 33 publications

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“…Here are some more examples of applications of the HTL perturbation theory to the calculation of dynamical quantities: the calculation of the collisional energy-loss of charged or colored partons [190,191,192,193], the Primakoff production of axions from a QED plasma [194,195,196], and the photon production by a quark-gluon plasma, for both hard [197,198,199], or soft [200,201] photons. In the particular case of the photon production rate, it is the Landau damping of a soft fermion which provides infrared finiteness [197,198] (in the bare perturbation theory, there is a logarithmic divergence associated with the exchange of a massless quark).…”

Section: Some Applications Of Htl-resummed Perturbation Theorymentioning

confidence: 99%

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The quark–gluon plasma: collective dynamics and hard thermal loops

Blaizot¹,

Iancu²

2002

Physics Reports

515

714

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We present a unified description of the high temperature phase of QCD, the so-called quark-gluon plasma, in a regime where the effective gauge coupling g is sufficiently small to allow for weak coupling calculations. The main focuss is the construction of the effective theory for the collective excitations which develop at a typical scale gT , which is well separated from the typical energy of single particle excitations which is the temperature T . We show that the short wavelength thermal fluctuations, i.e., the plasma particles, provide a source for long wavelength oscillations of average fields which carry the quantum numbers of the plasma constituents, the quarks and the gluons. To leading order in g, the plasma particles obey simple gauge-covariant kinetic equations, whose derivation from the general Dyson-Schwinger equations is outlined. By solving these equations, we effectively integrate out the hard degrees of freedom, and are left with an effective theory for the soft collective excitations. As a by-product, the "hard thermal loops" emerge naturally in a physically transparent framework. We show that the collective excitations can be described in terms of classical fields, and develop for these a Hamiltonian formalism. This can be used to estimate the effect of the soft thermal fluctuations on the correlation functions. The effect of collisions among the hard particles is also studied. In particular we discuss how the collisions affect the lifetimes of quasiparticle excitations in a regime where the mean free path is comparable with the range of the relevant interactions. Collisions play also a decisive role in the construction a Member of CNRS. E-mail: blaizot@spht.saclay.cea.fr b Member of CNRS. E-mail: iancu@spht.saclay.cea.fr c Laboratoire de la Direction des Sciences de la Matière du Commissariatà l'Energie Atomique of the effective theory for ultrasoft excitations, with momenta ∼ g 2 T , a topic which is briefly addressed at the end of this paper.

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Section: Some Applications Of Htl-resummed Perturbation Theorymentioning

confidence: 99%

“…(2.197). Then, the unrestricted integral over s simply reconstructs the on-shell Fourier component of Γ, 199) so that eq. (2.197) reduces to the usual Boltzmann equation (2.177) describing the relaxation of single-particle excitations.…”

Section: Time Representation and Fermi's Golden Rulementioning

confidence: 99%

The quark–gluon plasma: collective dynamics and hard thermal loops

Blaizot¹,

Iancu²

2002

Physics Reports

515

714

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“…Actually the damping rate given in (24) is a lower limit as higher order effects will enlarge it. As a matter of fact, the photon production rate in a QGP, which is the inverse process of the damping rate [21], was shown to be about a factor of 2 larger taking bremsstrahlung into account [22].…”

Section: Transport Propertiesmentioning

confidence: 99%

“…Hence there is no need to cut off the long range interaction introducing a transport cross section. The result for a photon with energy E = p reads [21] …”

Section: Transport Propertiesmentioning

confidence: 99%

Ultrarelativistic electron-positron plasma

Thoma

2009

Eur. Phys. J. D

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Abstract. Ultrarelativistic electron-positron plasmas can be produced in high-intensity laser fields and play a role in various astrophysical situations. Their properties can be calculated using QED at finite temperature. Here we will use perturbative QED at finite temperature for calculating various important properties, such as the equation of state, dispersion relations of collective plasma modes of photons and electrons, Debye screening, damping rates, mean free paths, collision times, transport coefficients, and particle production rates, of ultrarelativistic electron-positron plasmas. In particular, we will focus on electron-positron plasmas produced with ultra-strong lasers.

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“…Thermal photons emitted from the hot fireball created in relativistic heavy-ion collisions is a promising tool for providing a signature of quark-gluon plasma [1][2][3][4][5][6] (see [7][8][9] for recent reviews). Since they participate only in electromagnetic interactions, they have a larger mean free path compared to the transverse size of the hot and dense matter created in nuclear collisions [10].…”

Section: Introductionmentioning

confidence: 99%

Thermal photons in QGP and non-ideal effects

Bhatt

Mishra

Sreekanth

2010

J. High Energ. Phys.

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We investigate the thermal photon production-rates using one dimensional boost-invariant second order relativistic hydrodynamics to find proper time evolution of the energy density and the temperature. The effect of bulk-viscosity and non-ideal equation of state are taken into account in a manner consistent with recent lattice QCD estimates. It is shown that the non-ideal gas equation of state i.e ε − 3 P = 0 behaviour of the expanding plasma, which is important near the phase-transition point, can significantly slow down the hydrodynamic expansion and thereby increase the photon production-rates. Inclusion of the bulk viscosity may also have similar effect on the hydrodynamic evolution. However the effect of bulk viscosity is shown to be significantly lower than the non-ideal gas equation of state. We also analyze the interesting phenomenon of bulk viscosity induced cavitation making the hydrodynamical description invalid. We include the viscous corrections to the distribution functions while calculating the photon spectra. It is shown that ignoring the cavitation phenomenon can lead to erroneous estimation of the photon flux.

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Damping rate of a hard photon in a relativistic plasma

Abstract: The damping rate of a hard photon in a hot relativistic QED and QCD plasma is calculated using the resummation technique by Braaten and Pisarski.

Cited by 35 publications

References 33 publications

The quark–gluon plasma: collective dynamics and hard thermal loops

The quark–gluon plasma: collective dynamics and hard thermal loops

Ultrarelativistic electron-positron plasma

Thermal photons in QGP and non-ideal effects

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