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

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

2000-10-23

arxiv.org/abs/hep-th/0010205v2

Nucl.Phys.B599:305-318,2001

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, REVTeX, no figures. New version inclues extended discussion and examples in Sec. IV

Scientific paper

10.1016/S0550-3213(01)00026-8

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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