Graceful exit for the cosmological constant damping scenario

We present a broad and simple class of scalar-tensor scenarios that successfully realize dynamical damping of the effective cosmological constant, therefore providing a viable dynamical solution to the fine-tuning or “old” cosmological constant problem. In contrast to early versions of this approach, pioneered in the works of A. Dolgov in the 1980s, these do not suffer from unacceptable variations of Newton’s constant, as one aims at a small but strictly positive (rather than zero) late-time curvature. In our approach, the original fine-tuning issue is traded for a hierarchy of couplings, and we further suggest a way to naturally generate this hierarchy based on fermion condensation and softly broken field shift symmetry.