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Abstract
We revisit the issues of nonlinear AdS stability, its relation to growing (secular) terms in naive perturbation theory around the AdS background, and the need and possible strategies for resumming such terms. To this end, we review a powerful and elegant resummation method, which is mathematically identical to the standard renormalization group treatment of ultraviolet divergences in perturbative quantum field theory. We apply this method to nonlinear gravitational perturbation theory in the AdS background at first nontrivial order and display the detailed structure of the emerging renormalization flow equations. We prove, in particular, that a majority of secular terms (and the corresponding terms in the renormalization flow equations) that could be present on general grounds given the spectrum of frequencies of linear AdS perturbations, do not in fact arise.
Original language  English 

Article number  48 
Pages (fromto)  132 
Journal  The Journal of high energy physics 
Volume  2014 
Issue number  10 
Publication status  Published  8 Oct 2014 
Keywords
 Classical Theories of Gravity
 AdSCFT Correspondence
 Holography and quarkgluon plasmas
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 1 Active

SRP8: Strategic Research Programme: HighEnergy Physics at the VUB
D'Hondt, J., Van Eijndhoven, N., Craps, B. & Buitink, S.
1/11/12 → 31/10/22
Project: Fundamental