Initial fields and instabilities in the classical model of relativistic heavy-ion collisions

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Abstract
Color Glass Condensate (CGC) provides a classical description of dense gluon matter at high energies. Using the McLerran-Venugopalan (MV) model we calculate the initial energy density \epsilon(\tau) in the early stage of the relativistic nucleus-nucleus collision. Our analytical formula reproduces the quantitative results from lattice discretized simulations and leads to an estimate \epsilon(\tau=0.1fm)=40-50GeV/fm^3 in the Au-Au collision at RHIC energy. We then formulate instability with respect to soft fluctuations that violate boost invariance inherent to hard CGC backgrounds. We find unstable modes arising as a result of ensemble average over the initial CGC fields.