Discussing Cosmic String Configurations in a Supersymmetric Scenario without Lorentz Invariance

Ferreira, Cristine Nunes; Helayël-Neto, J. A.; Lima, C. E. C.

doi:10.48550/arxiv.0807.4342

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“…In this section we apply the Casimir energy contriubtions reviewed in Section Three to a scalar field coupled to a vector field with a VEV localized to the 5 th dimension. Although this scenario clearly violates Lorentz invariance, it has been well explored in the literature [50,51], and tests of Lorentz invariance violations are receiving a lot of attention for a possible role in cosmology [52,53,54,55,56,57]. It was demonstrated by Kostelecky that spontaneous Lorentz breaking may occur in the context of some string theories [58].…”

Section: Casimir Energy Of Scalar Field Coupled To An Exotic Lorentz ...mentioning

confidence: 99%

Casimir energy and brane stability

Obousy

Cleaver

2011

Journal of Geometry and Physics

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We investigate the role of Casimir energy as a mechanism for brane stability in five-dimensional models with the fifth dimension compactified on an S 1 /Z Z 2 orbifold, which includes the Randall-Sundrum two brane model (RS1). We employ a ζ-function regularization technique utilizing the Schwinger proper time method and the Jacobi theta function identity to calculate the one-loop effective potential. We show that the combination of the Casimir energies of a scalar Higgs field, the three generations of Standard Model fermions and one additional massive non-SM scalar in the bulk produce a non-trivial minimum of the potential. In particular, we consider a scalar field with a coupling in the bulk to a Lorentz violating vector particle localized to the compactified dimension. Such a scalar may provide a natural means of the fine-tuning needed for stabilization of the brane spearation. Lastly, we briefly review the possibility that Casimir energy plays a role in generating the currently observed epoch of cosmological inflation by examining a simple five-dimensional anisotropic metric.

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