Chameleonic dilaton and conformal transformations

We recently proposed a chameleonic solution to the cosmological constant problem - Phys. Rev. D82 (2010) 044006. One of the results of that paper is a non-equivalence of different conformal frames at the quantum level. In this letter we further discuss our proposal focusing our attention on the conformal transformation. Moreover, we point out that a different choice of parameters is necessary in the model.