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Quantum (In)Stability of a Brane-World AdS$\bf_5$ Universe at Nonzero Temperature

Iver Brevik·Kimball A. Milton·Shin'ichi Nojiri·Sergei D. Odintsov
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Abstract

We consider the quantum effects of bulk matter (scalars, spinors) in the Randall-Sundrum AdS$_5$ brane-world at nonzero temperature. The thermodynamic energy (modulus potential) is evaluated at low and high temperatures. This potential has an extremum which could be a minimum in some cases (for example, for a single fermion). That suggests a new dynamical mechanism to stabilize the thermal AdS$_5$ brane-world. It is shown that the brane separation required to solve the hierarchy scale problem may occur at a quite low temperature. A natural generalization in terms of the AdS/CFT correspondence (through the supergravity thermal contribution) is also possible.

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Iver Brevik, Kimball A. Milton, Shin'ichi Nojiri, Sergei D. Odintsov. 2000-11-01. Quantum (In)Stability of a Brane-World AdS$\bf_5$ Universe at Nonzero Temperature. https://doi.org/10.1016/s0550-3213(01)00026-8

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