Quantum Stabilization of Compactified AdS_5

TL;DR

This paper examines quantum fluctuations in a brane-world model within AdS_5 space, concluding they cannot stabilize the brane separation, thus necessitating classical stabilization methods, with quantum effects being negligible at large separations.

Contribution

It demonstrates that quantum fluctuations alone cannot stabilize the brane separation in AdS_5, emphasizing the need for classical stabilization mechanisms.

Findings

Quantum fluctuations do not stabilize the brane separation.

Quantum effects are power suppressed at large separations.

Proper regulation of loop integrals is essential for accurate analysis.

Abstract

We investigate the role of quantum fluctuations in the system composed of two branes bounding a region of AdS. It is shown that the modulus effective potential generated by quantum fluctuations of both brane and bulk fields is incapable of stabilizing the space naturally at the separation needed to generate the hierarchy. Consequently, a classical stabilization mechanism is required. We describe the proper method of regulating the loop integrals and show that, for large brane separation, the quantum effects are power suppressed and therefore have negligible affects on the bulk dynamics once a classical stabilization mechanism is in place.