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 (nonsupersymmetric) 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.

Dual equivalence between self-dual and Maxwell-Chern-Simons models with Lorentz symmetry breaking

“…[6]) plays the role of the standard Lorentz-breaking theory whose different aspects were studied in [7] (nevertheless, the Lorentz breaking was studied also for other four-dimensional theories, such as, for example, linearized and non-linearized gravity [8]). At the same time, there is much less results for the Lorentz-breaking theories in other space-time dimensions, the only results are the study of compactification of the five-dimensional Lorentz-breaking theories [9], the study of two-dimensional Lorentz-breaking model for the scalar fields [10] and investigation of some phenomenological implications of the three-dimensional "mixed" scalar-vector quadratic term [11] which was earlier obtained via the dimensional reduction of the Jackiw term [12,13]. So, the natural problem is the investigation of more aspects of the lower-dimensional, especially three-dimensional, Lorentz-breaking field theories.…”

Casimir energy and brane stability

“…Recently the authors calculated the Casimir energy for the case of a scalar field coupled to a field localized only to the 5 th dimension [40]. One novel feature of the setup was the demonstration that it allowed different spacings in the KK towers [66], and consequentially the generation of an enhanced Casimir energy.…”

“…In Section 4 we review the derivation for the Casimir energy in the case of an exotic coupling of a massive scalar field to an antisymmetric Lorentz violating tensor. The resulting expression for an enhanced Casimir energy was first derived by the authors in [40], and will be investigated as a component in the stabilization scenarios we study. In Section 5 we explore which field combinations generate a minimum of the Casimir energy.…”

Æther field, Casimir energy and stabilization of the extra dimension

“…The effects of the aether fields on cosmological observable was studied in [10]. The authors in [11,12] also studied the role of aether field on the stability of the extra dimension in the context of braneword scenario but in a different aspect.…”