Modulus Stabilization with Bulk Fields

Abstract

We propose a mechanism for stabilizing the size of the extra dimension in the Randall-Sundrum scenario. The potential for the modulus field that sets the size of the fifth dimension is generated by a bulk scalar with quartic interactions localized on the two 3-branes. The minimum of this potential yields a compactification scale that solves the hierarchy problem without fine tuning of parameters.Comment: 8 pages, LaTeX; minor typo correcte

Bloch Brane

“…[15] -compare Figs. [5] and [6]. Since the value of r * c which induces the appearance of internal structure is lower in curved spacetime, we can infer that gravity tends to supress the presence of internal structure in braneword scenarios like the one here investigated.…”

“…Our investigations are based on several recent works on branes [1,2,3,4,5,6,7,8,9], and it follows the lines of our former work on brane structure [15].…”

“…We focus mainly on generation of thick branes, their stability and internal structure, and our investigations follow several recent works on the subject [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15].…”

Brane world sum rules

“…Goldberger and Wise proposed a simple stabilization mechanism for the distance between the branes [6]. They added to the original Randall-Sundrum model with brane tensions λ h = −λ v a scalar field Φ with bulk action…”

Cosmological consequences of the brane/bulk interaction

“…Two interesting examples are: i) in brane world scenarios, scalar fields are thought to stabilize the fifth dimension (see e.g. [6]); ii) the energy of bulk scalar field(s) might flow onto or away from the brane universe and thereby modify the expansion dynamics.…”