Abstract
We calculate for the first time the shear viscosity of ultrarelativistic Boson systems in the presence of a Bose-Einstein condensate (BEC). Two different methods are used. One is the Grad's method of moments and another is the Green-Kubo relation within a kinetic transport approach. In this work we consider a Boson system with isotropic elastic collisions and a gluon system with elastic scatterings described by perturbation QCD (pQCD). The results show that the presence of a BEC lowers the shear viscosity. This effect becomes stronger for the increasing proportion of the BEC in the Boson system and is insensitive to the detail of interactions.
Highlights
The experiments of heavy-ion collisions at the Relativistic Heavy Ion Collider (RHIC) and at the Large Hadron Collider (LHC) [1,2,3] showed strong indications for the formation of a new thermal state of matter composed of quarks and gluons, the quark-gluon plasma (QGP)
The main result of this work is that we find a finite and nonzero contribution of the BoseEinstein condensate (BEC) to the shear viscosity of massless noncondensate particles
In this paper we have calculated for the first time the shear viscosity of ultrarelativistic Boson systems in the presence of a BEC
Summary
The experiments of heavy-ion collisions at the Relativistic Heavy Ion Collider (RHIC) and at the Large Hadron Collider (LHC) [1,2,3] showed strong indications for the formation of a new thermal state of matter composed of quarks and gluons, the quark-gluon plasma (QGP). The collision rate of processes involving the BEC is infinitely large, while the collision angle is zero How these extreme processes affect the shear viscosity is one key ingredient of this work. As a first test case, we assume elastic collisions with constant cross sections and isotropic distribution of collision angles This is customary in kinetic theory calculations.
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