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18 January 2022
 
  » arxiv » hep-th/0504205

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The Gospel according to DeWitt revisited: quantum effective action in braneworld models
A.O.Barvinsky ;
Date 25 Apr 2005
Subject hep-th
AbstractWe construct quantum effective action in spacetimes with branes (boundaries) and establish its relation to the "cosmological wave function" of the bulk -- the solution of the corresponding Wheeler-DeWitt equation which can be considered as a means of the holographic description of braneworld models. We show that for a special type of the bulk-brane gauge fixing procedure the one-loop part of the action decouples into the additive sum of brane-to-brane and bulk-to-bulk effective actions, and this decomposition proliferates in a special way in higher orders of the Feynman diagrammatic expansion. This property is based on a special duality relation between the Dirichlet and Neumann boundary value problems when applied to the functional determinants of wave operators and the field-theoretic version of the well-known semiclassical Van Vleck-Morette determinant. It facilitates the gauge-independent way of treating the strong-coupling and VDVZ problems in brane induced gravity models. Importance of this technique in various implications of braneworld theory and infrared modifications of Einstein theory is briefly discussed.
Source arXiv, hep-th/0504205
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