On RG-flow and the Cosmological Constant

Details On RG-flow and the Cosmological Constant On RG-flow and the Cosmological Constant

1999-12-07

arxiv.org/abs/hep-th/9912058v3

Class.Quant.Grav. 17 (2000) 1277-1285

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/0264-9381/17/5/337

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.

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