15 research outputs found
Nonlocal Quantum Gravity and the Size of the Universe
Motivated by the conjecture that the cosmological constant problem is solved
by strong quantum effects in the infrared we use the exact flow equation of
Quantum Einstein Gravity to determine the renormalization group behavior of a
class of nonlocal effective actions. They consist of the Einstein-Hilbert term
and a general nonlinear function of the Euclidean spacetime volume
. For the -invariant the renormalization group running
enormously suppresses the value of the renormalized curvature which results
from Planck-size parameters specified at the Planck scale. One obtains very
large, i.e., almost flat universes without finetuning the cosmological
constant. A critical infrared fixed point is found where gravity is scale
invariant.Comment: 6 pages, 1 figure, contribution to the proceedings of the 36th
International Symposium Ahrenshoop, Berlin, August 26-30, 200
Ghost wave-function renormalization in Asymptotically Safe Quantum Gravity
Motivated by Weinberg's asymptotic safety scenario, we investigate the
gravitational renormalization group flow in the Einstein-Hilbert truncation
supplemented by the wave-function renormalization of the ghost fields. The
latter induces non-trivial corrections to the beta-functions for Newton's
constant and the cosmological constant. The resulting ghost-improved phase
diagram is investigated in detail. In particular, we find a non-trivial
ultraviolet fixed point in agreement with the asymptotic safety conjecture,
which also survives in the presence of extra dimensions. In four dimensions the
ghost anomalous dimension at the fixed point is , supporting
space-time being effectively two-dimensional at short distances.Comment: 23 pages, 4 figure
From Big Bang to Asymptotic de Sitter: Complete Cosmologies in a Quantum Gravity Framework
Using the Einstein-Hilbert approximation of asymptotically safe quantum
gravity we present a consistent renormalization group based framework for the
inclusion of quantum gravitational effects into the cosmological field
equations. Relating the renormalization group scale to cosmological time via a
dynamical cutoff identification this framework applies to all stages of the
cosmological evolution. The very early universe is found to contain a period of
``oscillatory inflation'' with an infinite sequence of time intervals during
which the expansion alternates between acceleration and deceleration. For
asymptotically late times we identify a mechanism which prevents the universe
from leaving the domain of validity of the Einstein-Hilbert approximation and
obtain a classical de Sitter era.Comment: 47 pages, 17 figure
Black holes within asymptotic safety
Contains fulltext :
127919.pdf (preprint version ) (Open Access
Renormalization group flow of Horava-Lifshitz gravity at low energies
Contains fulltext :
126237.pdf (preprint version ) (Open Access