Quantum (In)Stability of a Brane-World AdS$\bf_5$ Universe at Nonzero Temperature
Abstract
We consider the quantum effects of bulk matter (scalars, spinors) in the Randall-Sundrum AdS 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 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.
Keywords
Cite
@article{arxiv.hep-th/0010205,
title = {Quantum (In)Stability of a Brane-World AdS$\bf_5$ Universe at Nonzero Temperature},
author = {Iver Brevik and Kimball A. Milton and Shin'ichi Nojiri and Sergei D. Odintsov},
journal= {arXiv preprint arXiv:hep-th/0010205},
year = {2009}
}
Comments
15 pages, REVTeX, no figures. New version inclues extended discussion and examples in Sec. IV