Dark Energy and Stabilization of Extra Dimensions

Abstract

We discuss the role Casimir energies may play in addressing issues of moduli stabilization and dark energy. In particular, we examine a (non-supersymmetric) brane world scenario with toroidal extra dimensions in which Casimir energies of bulk fields generate a stabilizing potential for the toroidal volume while driving accelerated expansion in the non-compact directions. We speculate that such a scenario might establish a link between asymmetric topology and asymmetric geometry; that is, asymmetric topology could be linked to the hierarchy between large and small dimensions.

Comments added, typo corrected, version to be published in JHEP

References in corpus (6)

• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• Dark Matter and Collider Phenomenology of Universal Extra Dimensions
• Quantum Horizons of the Standard Model Landscape
• Dark energy and decompactification in string gas cosmology
• Dark energy and the hierarchy problem
• Casimir Effect in a Supersymmetry-Breaking Brane-World as Dark Energy

Cited by in corpus (58)

• Modified Gravity and Cosmology
• Repulsive Casimir effect from extra dimensions and Robin boundary conditions: from branes to pistons
• Fermionic Casimir effect for parallel plates in the presence of compact dimensions with applications to nanotubes
• Induced fermionic current in toroidally compactified spacetimes with applications to cylindrical and toroidal nanotubes
• Fermionic Casimir densities in toroidally compactified spacetimes with applications to nanotubes
• The Casimir Force in Randall Sundrum Models with q+1 dimensions
• The perfect magnetic conductor (PMC) Casimir piston in d+1 dimensions
• The Casimir force on a piston in the spacetime with extra compactified dimensions
• Fermionic condensate and Casimir densities in the presence of compact dimensions with applications to nanotubes
• Finite Temperature Casimir Effect in Kaluza-Klein Spacetime
• Finite temperature Casimir effect in spacetime with extra compactified dimensions
• Fermionic Casimir effect in toroidally compactified de Sitter spacetime
• Fermionic current induced by magnetic flux in compactified cosmic string spacetime
• Finite temperature fermionic condensate and currents in topologically nontrivial spaces
• Fermionic current from topology and boundaries with applications to higher-dimensional models and nanophysics
• Fermionic vacuum polarization in compactified cosmic string spacetime
• Finite temperature current densities and Bose-Einstein condensation in topologically nontrivial spaces
• Scalar and fermionic vacuum currents in de Sitter spacetime with compact dimensions
• Hadamard function and the vacuum currents in braneworlds with compact dimensions: Two-branes geometry
• Fermionic vacuum densities in higher-dimensional de Sitter spacetime
• Casimir Dark Energy, Stabilization of the Extra Dimensions and Gauss-Bonnet Term
• Standard Model Vacua for Two-dimensional Compactifications
• Casimir Energy and Brane Stability
• Æther Field, Casimir Energy and Stabilization of The Extra Dimension
• Fermionic currents in AdS spacetime with compact dimensions
• Casimir effect for scalar current densities in topologically nontrivial spaces
• Scalar field localization on deformed extra space
• The Casimir force on a piston in Randall-Sundrum models
• Quantum mass correction for the twisted kink
• Dynamical Compactification and Inflation in Einstein-Yang-Mills Theory with Higher Derivative Coupling
• Vacuum fluctuations and topological Casimir effect in Friedmann-Robertson-Walker cosmologies with compact dimensions
• Can Dark Energy emerge from quantum effects in compact extra dimension ?
• Deformed compact extra space as dark matter candidate
• Classical evolution of subspaces
• An approach for the calculation of one-loop effective actions, vacuum energies, and spectral counting functions
• Initial Conditions for Bubble Universes
• The Shape of Compact Toroidal Dimensions $T_{\theta }^d$ and the Casimir Effect on $M^D\times T_{\theta }^d$ spacetime
• Role of initial conditions in the Universe formation
• A bulk inflaton from large volume extra dimensions
• The Casimir force between parallel plates in Randall-Sundrum I model
• The Casimir force on a piston at finite temperature in Randall-Sundrum models
• Horizon Complementarity and Casimir Violations of the Null Energy Condition
• Evolution of sub-spaces at high and low energies
• Investigation into Compactified Dimensions: Casimir Energies and Phenomenological Aspects
• Brane Stabilization and Regionality of Extra Dimensions
• Moduli Stabilization in a de Sitter Compactification Model
• Schwinger's Approach to Einstein's Gravity and Beyond
• The Casimir effect as a candidate of dark energy
• Brane Localization and Stabilization via Regional Physics
• Extra Dimensions, Dilaton and Dark Energy
• On Real Intrinsic Wall Crossings
• On The Problem of Vacuum energy in Brane Theories
• Fermionic vacuum stresses in models with toroidal compact dimensions
• Æther Coupling Effects on Casimir Energy for Self-Interacting Scalar Field within Extra Dimension
• Klein Bottle Cosmology
• Decoupling Inflation From the String Scale
• Anisotropic Evolution Driven by Kinetic Term
• Casimir energy and the possibility of higher dimensional manipulation