Abstract
We introduce an efficient general method for calculating the self-energies, collective modes, and dispersion relations of quarks and gluons in a momentum-anisotropic high-temperature quark-gluon plasma. The method introduced is applicable to the most general classes of deformed anisotropic momentum distributions and the resulting self-energies are expressed in terms of a series of hypergeometric basis functions which are valid in the entire complex phase-velocity plane. Comparing to direct numerical integration of the self-energies, the proposed method is orders of magnitude faster and provides results with similar or better accuracy. To extend previous studies and demonstrate the application of the proposed method, we present numerical results for the parton self-energies and dispersion relations of partonic collective excitations for the case of an ellipsoidal momentum-space anisotropy. Finally, we also present, for the first time, the gluon unstable mode growth rate for the case of an ellipsoidal momentum-space anisotropy.
Highlights
The evidence for the generation and evolution of a new state of matter called the quark-gluon plasma (QGP) has been provided by heavy-ion collision experiments performed at RHIC and LHC
The current theoretical understanding of QGP is mostly based on lattice quantum chromodynamics (QCD) [4], hard-(thermal)loop perturbation theory [5,6,7], effective hydrodynamic models [8,9,10], AdS=CFT inspired dual descriptions of the QGP [11,12], etc
We calculate the quark and gluon selfenergies for a QGP with an ellipsoidal momentum anisotropy in several cases, including special cases of an isotropic and spheroidally anisotropic QGP
Summary
The evidence for the generation and evolution of a new state of matter called the quark-gluon plasma (QGP) has been provided by heavy-ion collision experiments performed at RHIC and LHC. The interactions of quark and gluon degrees of freedom play the main role in the realization of the properties of the QGP and its evolution. Nonperturbative aspects of the strong and intermediate coupling regimes of quantum chromodynamics (QCD) make it difficult to be used directly for the phenomenological studies of heavy-ion collisions and QGP. Researchers have come to learn that the QGP, as created in the heavy-ion collisions experiments, is most likely neither in perfect kinetic nor chemical equilibrium.
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