On RG-flow and the Cosmological Constant
High Energy Physics - Theory
2009-10-31 v3
Abstract
The AdS/CFT correspondence implies that the effective action of certain strongly coupled large 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.
Keywords
Cite
@article{arxiv.hep-th/9912058,
title = {On RG-flow and the Cosmological Constant},
author = {Erik Verlinde},
journal= {arXiv preprint arXiv:hep-th/9912058},
year = {2009}
}
Comments
11 pages, 1 figure, contribution to the proceedings of Strings '99, misprint corrected