Quantum (In)Stability of a Brane-World AdS5 Universe at Nonzero Temperature
Iver Brevik, Kimball A. Milton, Shin'ichi Nojiri, Sergei D. Odintsov
Abstract
We consider the quantum effects of bulk matter (scalars, spinors) in the Randall-Sundrum AdS5 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 AdS5 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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