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Can thick braneworlds be self-consistent?
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DOI：10.1016/j.physletb.2005.12.030.png)
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Abstract
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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 [M. Minamitsuji, W. Naylor, M. Sasaki, hep-th/0508093]. 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. (c) 2005 Elsevier B.V. All rights reserved.
Keywords:
extra dimensions
quantum effects
cosmology
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