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arxiv: hep-th/0510117 · v2 · pith:CHCKXH5Onew · submitted 2005-10-14 · ✦ hep-th · astro-ph· gr-qc

Can thick braneworlds be self-consistent?

classification ✦ hep-th astro-phgr-qc
keywords branebackreactiondiscussquantumself-consistencythickthicknessbackground
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We discuss the backreaction of a massless, minimally coupled, quantized scalar field on a thick, two-dimensional de Sitter (dS) brane as an extension of our previous work. We show that a finite brane thickness naturally regularizes the backreaction on the brane. The quantum backreaction exhibits a quadratic divergence in the thin wall limit. We also give a theoretical bound on the brane thickness, in terms of the brane self-consistency of the quantum corrected Einstein equation, namely the requirement that the size of the backreaction should be smaller than that of the background stress-energy at the center of the brane. Finally, we discuss the brane self-consistency for the case of a four-dimensional dS brane.

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