< Terug naar vorige pagina

Publicatie

Renormalization, averaging, conservation laws and AdS (in)stability

Tijdschriftbijdrage - Tijdschriftartikel

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. The conservation laws in question then follow from explicit symmetries of this averaged effective theory.
Tijdschrift: Journal of High Energy Physics
ISSN: 1126-6708
Issue: 1
Volume: 2015
Pagina's: 1-28
Jaar van publicatie:2015
Trefwoorden:Classical Theories of Gravity, AdS-CFT Correspondence, Black holes, Holography and quark-gluon plasmas
Toegankelijkheid:Open