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Renormalization, averaging, conservation laws and AdS (in)stability · Around 2014
Renormalization, averaging, conservation laws and AdS (in)stability Craps, Ben, Evnin, Oleg, Vanhoof, Joris
Understand We continue our analytic investigations of non-linear spherically symmetric perturbations around the anti-de Sitter background in gravity-scalar field systems, and focus on conservation laws restricting the (perturbatively) slow drift of energy between the different normal modes due to non-linearities.
We discover two conservation laws in addition to the energy conservation previously discussed in relation to AdS instability. A similar set of three conservation laws was previously noted for a self-interacting scalar field in a non-dynamical AdS background, and we highlight the similarities of this system to the fully dynamical case of gravitational instability. The nature of these conservation laws is best understood through an appeal to averaging methods which allow one to derive an effective Lagrangian or Hamiltonian description of the slow energy transfer between the normal modes.
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M. Maliborski and A. Rostworowski, “What drives AdS spacetime unstable?,”
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V. Balasubramanian, A. Buchel, S. R. Green, L. Lehner and S. L. Liebling, “Holographic Thermalization, Stability of AdS, and the FPU Paradox,”
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2014
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B. Craps, O. Evnin and J. Vanhoof, “Renormalization group, secular term resummation and AdS (in)stability,” JHEP 1410
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2014
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B. Craps, E. Kiritsis, C. Rosen, A. Taliotis, J. Vanhoof and H. b. Zhang, “Gravitational collapse and thermalization in the hard wall model,” JHEP 1402
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