Radius Destabilization in Five Dimensional Orbifolds Due to an Enhanced Casimir Effect

Abstract

One of the challenges in connecting higher dimensional theories to cosmology is stabilization of the moduli fields. We investigate the role of a Lorentz violating vector field in the context of stabilization. Specifically, we compute the one loop Casimir energy in Randall-Sundrum 5-dimensional (non-supersymmetric) S^1/ Z_2 orbifolds resulting from the interaction of a real scalar field with periodic boundary conditions with a Lorentz violating vector field. We find that the result is an enhanced attractive Casimir force. Hence, for stability, positive contributions to the Casimir force from branes and additional fields would be required to counter the destabilizing, attractive effect of Lorentz violating fields.

References in corpus (11)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Lorentz-Violating Extension of the Standard Model
• CPT, Strings, and Meson Factories
• The Casimir effect: Recent controversies and progress
• Casimir effect in de Sitter and Anti-de Sitter braneworlds
• The Casimir Force in a Lorentz Violating Theory
• Casimir energy of a massive field in a genus-1 surface
• String Cosmology and the Dimension of Spacetime
• Casimir Energies due to Matter Fields in $T^2$ and $T^2/Z_2$ Compactifications

Cited by in corpus (6)

• On the aether-like Lorentz-breaking actions
• Casimir energy and topological mass for a massive scalar field with Lorentz violation
• Loop correction to the scalar Casimir energy density and generation of topological mass due to a helix boundary condition in a scenario with Lorentz violation
• On the duality in four-dimensional Lorentz-breaking field theories
• On aether terms in a space-time with a compact extra dimension
• Æther Coupling Effects on Casimir Energy for Self-Interacting Scalar Field within Extra Dimension