Quantum (In)Stability of a Brane-World AdS$\bf_5$ Universe at Nonzero Temperature
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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.
15 pages, REVTeX, no figures. New version inclues extended discussion and examples in Sec. IV
15 pages, REVTeX, no figures. New version inclues extended discussion and examples in Sec. IV