Nonlocal braneworld action: an alternative to Kaluza-Klein description
arXiv:hep-th/0206188 · doi:10.1103/PhysRevD.67.023513
Abstract
We construct the nonlocal braneworld action in the two-brane Randall-Sundrum model in a holographic setup alternative to Kaluza-Klein description: the action is written as a functional of the two metric and radion fields on the branes. This action effectively describes the dynamics of the gravitational field both on the branes and in the bulk in terms of the brane geometries directly accessible for observations. Its nonlocal form factors incorporate the cumulative effect of the bulk Kaluza-Klein modes. We also consider the reduced version of this action obtained by integrating out the fields on the negative-tension brane invisible from the viewpoint of the Planckian brane observer. This effective action features a nontrivial transition (AdS flow) between the local and nonlocal phases of the theory associated with the limits of small and large interbrane separation. Our results confirm a recently proposed braneworld scenario with diverging (repulsive) branes and suggest possible new implications of this phase transition in brane cosmology.
33 pages, title changed, the focus of discussion is shifted to nonlocality properties of Weyl-squared terms in braneworld action and phase transitions between local and nonlocal phases of the theory, to appear in Phys. Rev. D
References in corpus (43)
- Gauge Theory Correlators from Non-Critical String Theory
- A Large Mass Hierarchy from a Small Extra Dimension
- An Alternative to Compactification
- The Hierarchy Problem and New Dimensions at a Millimeter
- The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
- The Einstein Equations on the 3-Brane World
- The Cosmic Triangle: Revealing the State of the Universe
- Non-conventional cosmology from a brane-universe
- Brane Inflation
- Cosmic Evolution in a Cyclic Universe
- Locally Localized Gravity
- Gravity in the Randall-Sundrum Brane World
- Large and infinite extra dimensions
- The Inflationary Brane-Antibrane Universe
- Bulk vs. Boundary Dynamics in Anti-de Sitter Spacetime
- AdS/CFT and gravity
- Linearized Gravity in Brane Backgrounds
- Dynamic Dilatonic Domain Walls
- Quantum effective action from the AdS/CFT correspondence
- Brane New World
- Holography and the Weyl anomaly
- Wave function of the radion in a brane world
- Cosmology With Negative Potentials
- Brane-world creation and black holes
- Trace anomaly driven inflation
- RG-Flow, Gravity and the Cosmological Constant
- Pyrotechnic Universe
- Complementarity of the Maldacena and Randall-Sundrum Pictures
- Localized Gravity in String Theory
- Some Aspects of Brane Inflation
- What Do CFTs Tell Us About Anti-de Sitter Spacetimes?
- A new bigravity model with exclusively positive branes
- Quantum Fields in a Big Crunch/Big Bang Spacetime
- Strong Brane Gravity and the Radion at Low Energies
- Radion on the de Sitter brane
- Covariant Perturbation Theory (IV). Third Order in the Curvature
- Models with Extra Dimensions and Their Phenomenology
- Brane Gravity at Low Energy
- Brane gravity, higher derivative terms and non-locality
- On a Covariant Determination of Mass Scales in Warped Backgrounds
- Braneworld effective action and origin of inflation
- Effective Lagrangians for linearized gravity in Randall-Sundrum model
- Covariant perturbation theory and the Randall-Sundrum picture
Cited by in corpus (12)
- Nonlocal action for long-distance modifications of gravity theory
- Non-local massive gravity
- Super-renormalizable or finite completion of the Starobinsky theory
- A few cosmological implications of tensor nonlocalities
- Nonperturbative late time asymptotics for heat kernel in gravity theory
- On covariant long-distance modifications of Einstein theory and strong coupling problem
- Linearized gravity on the Randall-Sundrum two-brane background with curvature terms in the action for the branes
- The Schwinger-DeWitt technique for quantum effective action in brane induced gravity models
- Graviton oscillations in the two-brane world
- Effective action and heat kernel in a toy model of brane-induced gravity
- Living on a dS brane: Effects of KK modes on inflation
- Phase transitions, massive gravitons and effective action in braneworld theory