Damping rate of a moving fermion

Altherr, T.; Petitgirard, E.; Gaztelurrutia, Teresa del Río

doi:10.1103/physrevd.47.703

Cited by 67 publications

(113 citation statements)

References 40 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%

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%

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

Blaizot¹,

Iancu²

2002

Physics Reports

515

714

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“…Since we are only concerned with the leading order behaviour e → 0 at high temperature T , for a fast muon (E ≫ M > T ) a couple of approximations which simplify the calculations and the discussion may be applied [1][2][3][4][5][6][7][8][9][10]. With −(G R ) −1 = p 0 − Σ R and Eq.…”

Section: Fermion Damping Ratementioning

confidence: 99%

“…(9) [19]. In QCD the magnetic mass is expected to be on the scale m mag ≃ g 2 T , with g the strong coupling constant: consequently using m mag and evaluating γ on the real axis (p 0 ≃ E) a finite value may beand has been -argued for quarks in QCD [3,4,7].…”

Section: Fermion Damping Ratementioning

confidence: 99%

“…Recent studies of damping rates of fast moving particles in a hot QED (or QCD) plasma have raised some interesting problems [1][2][3][4][5][6][7][8][9][10][11]. The difficulties start from the infrared sensitive behaviour of these rates: a logarithmic divergence remains even after including the perturbative Braaten-Pisarski resummation [12,13], which only screens the infrared sensitivity down to scales of O(eT ).…”

Section: Introductionmentioning

confidence: 99%

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Damping rate of a fast fermion in hot QED

Baier

Kobes

1994

Phys. Rev. D

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“…A fully relativistic treatment of the electron bath leads to the dispersion relation for the longitudinal mode [5,12] :…”

Section: The Neutrino Electric Charge and The Hard Regimementioning

confidence: 99%

The electric charge of neutrinos and plasmon decay

Altherr

Salati²

1994

Nuclear Physics B

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By using both thermal field theory and a somewhat more intuitive method, we define the electric charge as well as the charge radius of neutrinos propagating inside a plasma. We show that electron neutrinos acquire a charge radius of order ∼ 6.5 × 10 −16 cm, regardless of the properties of the medium. Then, we compute the rate of plasmon decay which such an electric charge or a charge radius implies. Taking into account the relativistic effects of the degenerate electron gas, we compare our results to various approximations as well as to recent calculations and determine the regimes where the electric charge or the charge radius does mediate the decay of plasmons. Finally, we discuss the stellar limits on any anomalous charge radius of neutrinos.

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Damping rate of a moving fermion

Cited by 67 publications

References 40 publications

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

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

Damping rate of a fast fermion in hot QED

The electric charge of neutrinos and plasmon decay

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