Viscosity of the QGP from a virial expansion

In this work we calculate the shear viscosity eta in the quark-gluon plasma within a virial expansion approach with particular interest in the ratio of eta to the entropy density s, i.e. eta/s. We derive a realistic equation of state using a virial expansion approach which allows us to include the interactions between the partons in the deconfined phase. From the interaction we directly extract the effective coupling alpha (V) for the determination of eta. Our results for eta/s show a minimum near to T (c) very close with the lowest bound and, furthermore, in line with the experimental point from RHIC as well as with the lattice calculations.