Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-12-19
Phys.Rev.D75:084002,2007
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, 10 figures; minor ammendments to the text, typos corrected including a misprint in Eq. (102), reference added
Scientific paper
10.1103/PhysRevD.75.084002
We consider the evolution of a bulk scalar field in anti-de Sitter (AdS) spacetime linearly coupled to a scalar field on a de Sitter boundary brane. We present results of a spectral analysis of the system, and find that the model can exhibit both bound and continuum resonant modes. We find that zero, one, or two bound states may exist, depending upon the masses of the brane and bulk fields relative to the Hubble length and the AdS curvature scale and the coupling strength. In all cases, we find a critical coupling above which there exists a tachyonic bound state. We show how the 5-dimensional spectral results can be interpreted in terms of a 4-dimensional effective theory for the bound states. We find excellent agreement between our analytic results and the results of a new numerical code developed to model the evolution of bulk fields coupled to degrees of freedom on a moving brane. This code can be used to model the behaviour of braneworld cosmological perturbations in scenarios for which no analytic results are known.
Cardoso Antonio
Koyama Kazuya
Mennim Andrew
Seahra Sanjeev S.
Wands David
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