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-Martin-Schwinger condition, which relates the off-diagonal components of the real-time fermion self-energy, holds even for the anisotropic, and therefore non-equilibrium, quark-gluon plasma considered here. The results obtained here set the stage for the calculation of the non-equilibrium photon production rate from an anisotropic quark-gluon plasma.

arXiv comment16 pages, 8 figures; v2 typos fixed and one reference added

References in corpus (39)

• New Forms of QCD Matter Discovered at RHIC
• Evidence for Superfluidity in a Resonantly Interacting Fermi Gas
• Resonance superfluidity in a quantum degenerate Fermi gas
• Photon Emission from Quark-Gluon Plasma: Complete Leading Order Results
• Collective Modes of an Anisotropic Quark-Gluon Plasma
• The BCS-BEC Crossover in a Gas of Fermi Atoms with a Feshbach Resonance
• Photon Emission from Ultrarelativistic Plasmas
• Effective Kinetic Theory for High Temperature Gauge Theories
• Prospect of creating a composite fermi/bose superfluid
• Superfluidity of spin-polarized 6Li
• QCD Plasma Instabilities and Bottom-Up Thermalization
• Collective modes of an Anisotropic Quark-Gluon Plasma II
• Collective non-Abelian instabilities in a melting Color Glass Condensate
• The Superfluid State of Atomic Li6 in a Magnetic Trap
• Bremsstrahlung and photon production in thermal QCD
• Hard Loop Approach to Anisotropic Systems
• Dynamics of Quark-Gluon-Plasma Instabilities in Discretized Hard-Loop Approximation
• The Fate of Non-Abelian Plasma Instabilities in 3+1 Dimensions
• Hard-Loop Effective Action for Anisotropic Plasmas
• Chromodynamic Weibel instabilities in relativistic nuclear collisions
• Direct Photons from Relativistic Heavy-Ion Collisions
• Dilepton and photon production in the 'hot-glue' scenario
• Color filamentation in ultrarelativistic heavy-ion collisions
• QCD Plasma Instabilities and Isotropization
• Landau-Pomeranchuk-Migdal effect in thermal field theory
• A model of the effect of collisions on QCD plasma instabilities
• Expanding Quark-Gluon Plasmas: Transverse Flow, Chemical Equilibration and Electromagnetic Radiation
• Hard Thermal Photon Production in Relativistic Heavy Ion Collisions
• Photon Emission from a Parton Gas at Chemical Non-Equilibrium
• KLN theorem, magnetic mass, and thermal photon production
• Hard photon production rate of a quark-gluon plasma at finite quark chemical potential
• Thermal photon production rate from non-equilibrium quantum field theory
• The quark-gluon plasma at RHIC
• Soft Photon Production Rate in Resummed Perturbation Theory of High Temperature QCD
• Thermal Dileptons from pi - rho Interactions in a Hot Pion Gas
• Equilibrium and Non-Equilibrium Hard Thermal Loop Resummation in the Real Time Formalism
• Screening and antiscreening in anisotropic QED and QCD plasmas
• Quasiquarks in two stream system
• Strongly and Weakly Unstable Anisotropic Quark-Gluon Plasma

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• Collective Excitations of Supersymmetric Plasma
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• Covariant formulation of gluon self-energy in presence of ellipsoidal anisotropy
• Effect of momentum anisotropy on quark matter in the quark-meson model
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• What the inflaton might tell us about RHIC/LHC
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• Chaotic thermalization in Yang-Mills-Higgs theory on a spacial lattice
• Non-equilibrium hydrodynamics of the quark-gluon plasma
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