On RG-flow and the Cosmological Constant

Abstract

The AdS/CFT correspondence implies that the effective action of certain strongly coupled large $N$ gauge theories satisfy the Hamilton-Jacobi equation of 5d gravity. Using an analogy with the relativistic point particle, I construct a low energy effective action that includes the Einstein action and obeys a Callan-Symanzik-type RG-flow equation. It follows from the flow equation that under quite general conditions the Einstein equations admit a flat space-time solution, but other solutions with non-zero cosmological constant are also allowed. I discuss the geometric interpretation of this result in the context of warped compactifications.

11 pages, 1 figure, contribution to the proceedings of Strings '99, misprint corrected

References in corpus (4)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• Gravitational Stability and Renormalization-Group Flow
• Spacetime and the Holographic Renormalization Group

Cited by in corpus (13)

• Self-tuning flat domain walls in 5d gravity and string theory
• Weyl Cohomology and the Effective Action for Conformal Anomalies
• Categorizing Different Approaches to the Cosmological Constant Problem
• A late-time transition in the cosmic dark energy?
• Effective theories and black hole production in warped compactifications
• The CFT-interpolating Black Hole in Three Dimensions
• Effective Field Theories and Matching for Codimension-2 Branes
• Can Renormalization Group Flow End in a Big Mess?
• A Practical Approach to the Hamilton-Jacobi Formulation of Holographic Renormalization
• On n-point Amplitudes in N=4 SYM
• Gravity localization with a domain wall junction in six dimensions
• On the Holographic RG-flow and the Low-energy, Strong Coupling, Large N Limit
• 2D Black Hole and Holographic Renormalization Group