Singularities of ultra-relativistic expanding quark-gluon plasma within Quark-gluon transport theory

Abstract

We follow Quark-gluon transport theory and analyse singularities of the ultra-relativistic and spherical expanding quark-gluon plasma. Within the linearized QCD oscillations and instabilities of the ultra-relativistic and spherical symmetric expanding quark-gluon plasma near global thermodynamical equilibrium are investigated in dependence on a chemical potential mu(T) of non-strange light quarks and antiquarks, a strange quark mass m_s, a temperature T and a hydrodynamical velocity $u$. We calculate the chromoelectric permeability tensor for the quark-gluon plasma at rest and ultra-relativistic moving. We show that the contribution of chemical potential of light quarks and antiquarks can be neglected to the chromoelectric permeability. We show that the account for the non-zero mass of strange quarks and antiquarks diminishes the value of the plasma frequency. We show that the plasma frequency of the ultra-relativistic and spherical symmetric expanding quark-gluon plasma is enhanced by a Lorentz factor compared with the plasma frequency of the quark-gluon plasma at rest. We find that the ultra-relativistic and spherical symmetric expanding quark-gluon plasma behaves like a collisionless thermalized plasma.