Does the NJL chiral phase transition affect the elliptic flow of a fluid at fixed η/s?

We have derived and solved numerically the Boltzmann-Vlasov transport equations that includes both two-body collisions and the chiral phase transition by mean of NUL-field dynamics. The scope is to understand if the field dynamics supply new genuine effects on the build-up of the elliptic flow nu(2), a measure of the asymmetry in the momentum space, and in particular if it can affect the relation between nu(2) and the shear viscosity to entropy ratio eta/s. Solving the transport equation with a constant cross section for the condition of Au + Au collisions at root s(NN) = 200 A GeV it is shown a sizable suppression of nu(2) due to the attractive nature of the field dynamics that generates the constituent mass. However the key result is that if eta/s of the system is kept fixed by an appropriate local renormalization of the cross section the nu(2) does not depend on the details of the collisional and/or field dynamics and in particular it is not affected significantly by the chiral phase transition. (C) 2010 Elsevier B.V. All rights reserved. RI Baran, Virgil/A-8259-2011