Nonvanishing Cosmological Constant of Flat Universe in Brane-World Scenario

Abstract

The finite temperature effect is examined in Randall-Sundrum brane-world scenario with inclusion of the matter fields on the brane. At zero temperature it is found that the theory on the brane is conformally invariant, which guarantees $AdS$/CFT. At 4d effective action we derived a temperature-dependent nonvanishing cosmological constant at the flat spacetime limit of brane worldvolume. At the cosmological temperature $3\mathbf{K}$ the cosmological constant is roughly $(0.0004eV{)}^4$ which is within the upper bound of the recent experimental value $(0.01eV{)}^4$

10 pages, 1 figure; V2 12 pages, figure removed, the contribution of matter to the cosmological constant is added, will appear in PLB

References in corpus (2)

• A thermal instability for positive brane cosmological constant in the Randall-Sundrum cosmologies
• Randall-Sundrum Scenario at Nonzero Temperature

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