2006
DOI: 10.1103/physrevd.74.065004
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Fermionic collective modes of an anisotropic quark-gluon plasma

Abstract: We determine the fermionic collective modes of a quark-gluon plasma which is anisotropic in momentum space. We calculate the fermion self-energy in both the imaginary-and real-time formalisms and find that numerically and analytically (for two special cases) there are no unstable fermionic modes. In addition we demonstrate that in the hard-loop limit the Kubo-MartinSchwinger condition, which relates the off-diagonal components of the real-time fermion self-energy, holds even for the anisotropic, and therefore … Show more

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Cited by 48 publications
(57 citation statements)
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“…In recent years the study of anisotropic plasma has received much interest due to the fact that the QGP, which has a local momentum-space anisotropy, is subject to the chromo-Weibel instability [64,66,[68][69][70][71][72][73][74][75][76][77][78][79][80][81][82][83][84][85][86]. The effects of these instabilities are not very clear, but they are very important for the QGP evolution at the RHIC or LHC.…”
Section: Introductionmentioning
confidence: 99%
“…In recent years the study of anisotropic plasma has received much interest due to the fact that the QGP, which has a local momentum-space anisotropy, is subject to the chromo-Weibel instability [64,66,[68][69][70][71][72][73][74][75][76][77][78][79][80][81][82][83][84][85][86]. The effects of these instabilities are not very clear, but they are very important for the QGP evolution at the RHIC or LHC.…”
Section: Introductionmentioning
confidence: 99%
“…For a medium described by anisotropic distribution functions of the type (2), the in-medium propagators continue to satisfy the KMS relation in the high temperature limit [27]. We can therefore simply follow [26,36] to calculate the retarded quark selfenergy with the modified distribution functions (2).…”
Section: Viscous Corrections To Thermal Photon Emission Ratesmentioning
confidence: 99%
“…In a plasma with locally anisotropic momentum distributions, these HTL self energies are anisotropic, too. In previous work [24][25][26], the HTL-resummed quark self-energy was evaluated for spheroidally deformed momentum distributions. In Ref.…”
Section: Viscous Corrections To Thermal Photon Emission Ratesmentioning
confidence: 99%
“…Any amount of momentum anisotropy in the distribution of the (high-momentum) plasma particles leads to chromomagnetic instabilities, which in the weakfield situation are straightforward generalizations of the Abelian Weibel instabilities [19] and whose dispersion laws have been worked out for specific cases of a stationary anisotropic plasma in Ref. [20,21,22,23]. In an Abelian plasma, the Weibel instabilities grow exponentially until they are large enough to modify the distribution of the hard particles and give rise to their fast isotropization.…”
Section: Introductionmentioning
confidence: 99%