Spectra of Field Fluctuations in Braneworld Models with Broken Bulk Lorentz Invariance

TL;DR

This paper explores the spectra of field fluctuations in five-dimensional braneworld models with broken Lorentz invariance, revealing unexpected spectral properties and embedding known models into a broader family.

Contribution

It introduces a new family of static self-tuning braneworld solutions with broken Lorentz invariance and analyzes their fluctuation spectra, including scalar and spinor fields.

Findings

Spectra exhibit peculiar and unexpected properties.

Several known models are embedded into the new solution family.

Detailed analysis of scalar and spinor field spectra in a specific model.

Abstract

We investigate five-dimensional braneworld setups with broken Lorentz invariance continuing the developments of our previous paper (arXiv:0712.1136), where a family of static self-tuning braneworld solutions was found. We show that several known braneworld models can be embedded into this family. Then we give a qualitative analysis of spectra of field fluctuations in backgrounds with broken Lorentz invariance. We also elaborate on one particular model and study spectra of scalar and spinor fields in it. It turns out that the spectra we have found possess very peculiar and unexpected properties.