Sensitivity of quintessence perturbations to initial conditions
  Gauge invariant quintessence perturbations in the quintessence and cold dark matter (QCDM) model are investigated. For three cases of constant equation-of-state (EOS) parameter, linear scalar field potential, and supergravity scalar field potential, their perturbation evolutions have a similar dependence on EOS parameter and scale, but they have different sensitivity to the initial conditions due to the different shapes of the quintessence potential. They have a minor effect on primary CMB anisotropies, but change the secondary CMB effect in different ways. The first case is insensitive to initial quintessence perturbations and only modifies the Integrated Sachs-Wolfe (ISW) effect within a factor of 2. The other two cases are sensitive to initial conditions at large scales and could affect the secondary CMB anisotropies drastically depending on how smooth the initial perturbations are. This makes it possible for future cosmological probes to provide constraints on quintessence properties. 
Jingsong Liu