Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-12-05
Prog.Theor.Phys. 107 (2002) 1085-1104
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, 6 figures, typos corrected
Scientific paper
10.1143/PTP.107.1085
Classical higher-derivative gravity is investigated in the context of the holographic renormalization group (RG). We parametrize the Euclidean time such that one step of time evolution in (d+1)-dimensional bulk gravity can be directly interpreted as that of block spin transformation of the d-dimensional boundary field theory. This parametrization simplifies the analysis of the holographic RG structure in gravity systems, and conformal fixed points are always described by AdS geometry. We find that higher-derivative gravity generically induces extra degrees of freedom which acquire huge mass around stable fixed points and thus are coupled to highly irrelevant operators at the boundary. In the particular case of pure R^2-gravity, we show that some region of the coefficients of curvature-squared terms allows us to have two fixed points (one is multicritical) which are connected by a kink solution. We further extend our analysis to Minkowski time to investigate a model of expanding universe described by the action with curvature-squared terms and positive cosmological constant, and show that, in any dimensionality but four, one can have a classical solution which describes time evolution from a de Sitter geometry to another de Sitter geometry, along which the Hubble parameter changes drastically.
Fukuma Masafumi
Matsuura So
No associations
LandOfFree
Holographic Renormalization Group Structure in Higher-Derivative Gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Holographic Renormalization Group Structure in Higher-Derivative Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Holographic Renormalization Group Structure in Higher-Derivative Gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-174583