Constraints on Quintessence From Using Cosmological Data
  Recent data, including the three--year WMAP data, the full 2dF galaxy power spectrum and the first--year data of the Supernova Legacy Survey, are used to constrain model parameters in quintessence cosmologies. In particular, we discuss the inverse power--law (RP) and SUGRA potentials and compare parameter constraints with those for LCDM. Both potentials fit current observations with a goodness of fit comparable or better than LCDM. The constraints on the energy scale Lambda_DE appearing in both potential expressions are however different. For RP, only energy scales around the cosmological constant limit are allowed, making the allowed models quite similar to LCDM. For SUGRA, Lambda_DE values approximately up to Electroweak energy scale are still allowed, while other parameter intervals are slightly but significantly displaced. In particular a value of the primeval spectral index n_s = 1 is still allowed at the 95% c.l., and this can have an impact on constraints on possible inflationary potentials. 
L.P.L. Colombo and M. Gervasi