From Asymptotic Safety to Dark Energy
arXiv:1106.1435 · doi:10.1016/j.physletb.2011.08.075
Abstract
We consider renormalization group flow applied to the cosmological dynamical equations. A consistency condition arising from energy-momentum conservation links the flow parameters to the cosmological evolution, restricting possible behaviors. Three classes of cosmological fixed points for dark energy plus a barotropic fluid are found: a dark energy dominated universe, which can be either accelerating or decelerating depending on the RG flow parameters, a barotropic dominated universe where dark energy fades away, and solutions where the gravitational and potential couplings cease to flow. If the IR fixed point coincides with the asymptotically safe UV fixed point then the dark energy pressure vanishes in the first class, while (only) in the de Sitter limit of the third class the RG cutoff scale becomes the Hubble scale.
6 pages, 1 figure
References in corpus (7)
- Cosmology and the Fate of Dilatation Symmetry
- Exact evolution equation for the effective potential
- Varying constants, Gravitation and Cosmology
- Renormalization group improved gravitational actions: a Brans-Dicke approach
- Exact renormalization group with optimal scale and its application to cosmology
- Asymptotically Safe Cosmology
- From Cavendish to PLANCK: Constraining Newton's Gravitational Constant with CMB Temperature and Polarization Anisotropy
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