A Renormalization Group Approach to the Cosmological Constant Problem

Abstract

In an earlier paper, it is proposed that, due to resonance tunneling effect, tunneling from a large cosmological constant $\Lambda$ site in the stringy comic landscape can be fast, while tunneling from a small $\Lambda$ 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 ${\Lambda }_c$ from fast tunneling for $\Lambda >{\Lambda }_c$ to suppressed tunneling for ${\Lambda }_c>\Lambda >0$. Mobility in the landscape makes eternal inflation highly unlikely. As an illustration, we find that ${\Lambda }_c$ 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.

25 pages, 3 figures; new appendices and references added

References in corpus (25)

• Dynamics of dark energy
• de Sitter Vacua in String Theory
• The Cosmological Constant
• Hierarchies from Fluxes in String Compactifications
• Quantization of Four-form Fluxes and Dynamical Neutralization of the Cosmological Constant
• The statistics of string/M theory vacua
• The Anthropic Landscape of String Theory
• Distributions of nonsupersymmetric flux vacua
• The Cosmological Constant and the String Landscape
• Cosmological Landscape From Nothing: Some Like It Hot
• Can we predict $\Lambda$ for the Non-SUSY sector of the Landscape ?
• A Wrinkle in Coleman - De Luccia
• Rapid Tunneling and Percolation in the Landscape
• Hawking-Moss bounces and vacuum decay rates
• The Landscape of String Theory and The Wave Function of the Universe
• Graceful exit from a stringy landscape via MSSM inflation
• A New View of the Cosmic Landscape
• Simplified Chain Inflation
• The Boundedness of Euclidean Gravity and the Wavefunction of the Universe
• Regulating Eternal Inflation
• Chain Inflation via Rapid Tunneling in the Landscape
• A Note on the Quantum Creation of Universes
• Vacuum Sampling in the Landscape during Inflation
• An Approach to the Cosmological Constant Problem(s)
• Accelerating universe emergent from the landscape

Cited by in corpus (12)

• Efficient numerical solution to vacuum decay with many fields
• Rapid Tunneling and Percolation in the Landscape
• The Cosmological Constant Problem and Inflation in the String Landscape
• Resonant Tunneling in Superfluid Helium-3
• Resonant Tunneling in Scalar Quantum Field Theory
• Coleman-de Luccia Tunneling and the Gibbons-Hawking Temperature
• Decay of an inhomogeneous state via resonant tunnelling
• A Smooth Landscape: Ending Saddle Point Inflation Requires Features to be Shallow
• Hawking-Moss Tunneling with a Dirac-Born-Infeld Action
• New Non-Trivial Vacuum Structures in Supersymmetric Field Theories
• Tunneling in Theories with Many Fields
• Topics in vacuum decay (Ph.D Thesis)