A Renormalization Group Approach to the Cosmological Constant Problem
نویسنده
چکیده
In an earlier paper, it is proposed that, due to resonance tunneling effect, tunneling from a large cosmological constant Λ site in the stringy comic landscape can be fast, while tunneling from a small Λ site may take exponentially long time. Borrowing the renormalization group analysis of the conductance in the Anderson localization transition, we treat the landscape as a multi-dimensional random potential and find that the vastness of the landscape leads to a sharp transition at a small critical value Λc from fast tunneling for Λ > Λc to suppressed tunneling for Λc > Λ > 0. Mobility in the landscape makes eternal inflation highly unlikely. As an illustration, we find that Λc can easily be exponentially small compared to the string/Planck scale. These properties may help us in finding a qualitative understanding why today’s dark energy is so small.
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