Avoiding parameter fine-tuning in mass varying neutrino models of DE?

Coupled models of quintessence are usually introduced for avoiding or mitigating the parameter fine-tuning problem. At the same time, the coupled models should avoid the fine-tuning problem related to the initial conditions as quintessence models do. One more attractive feature of coupled models might be the explanation of the timescale at which the coincidence of DE and matter energ y densities occ u r and the understanding of reason why after this the DE takes over. And finally, a l l these nice features should be unaffected by the quantum corrections of the potential. Having in mind these remarks, we sha l l focus ou r discussion on mass varying neutrino model of DE with inverse power-law potential to see how naturally does it work.

Automated summary

Coupled models of quintessence are introduced to avoid or mitigate the parameter fine-tuning problem and also should avoid the fine-tuning problem related to the initial conditions. Coupled models can explain the timescale of the coincidence between dark energy and matter energy densities, as well as the transition of dark energy dominance. Studying the mass varying neutrino model of dark energy with inverse power-law potential helps to understand its naturalness.