2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215794We 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. IVHigh Energy Physics - TheoryHigh Energy Physics - PhenomenologyQuantum (In)Stability of a Brane-World AdS$\bf_5$ Universe at Nonzero Temperaturetext