Stabilization of Modulus in Randall–sundrum Model I by Bulk Scalar Fields

Abstract

We consider the case of self-interacting scalar field for the stabilization of modulus in the Randall–Sundrum model I. This scalar field is non-minimally coupled to the Ricci curvature scalar. We find the compactification radius and we discuss the implications of our results for the cases of massive and massless scalars.

On the stabilization of modulus in Randall–Sundrum model by RΦ2 interaction

“…We also show that the square of the effective mass of the bulk scalar field is negative. In §3, we study the stability of the modulus r. In the limit of infinite quartic coupling our results are in agreement with previous results [5]. We also investigate the case where the quartic coupling is finite but very large, and finally in §4, we present our conclusions.…”

“…This result agrees with our first-order calculations reported in ref. [5]. For the configuration v p = 0.135, v s = 1, k = 4 and ξ = −0.01, the value of kr − = 12.2.…”

“…In a previous work [5], we considered the limit of λ p → ∞, λ s → ∞. In this limit (0) = v p and (π) = v s .…”

“…Their solution involved a massive bulk scalar field with the usual kinetic term in the bulk and quartic interactions localized on the two branes. Since then, many studies have appeared on this subject [3][4][5][6][7][8][9][10][11][12]. The studies of refs [3,4] consider models for the stabilization of the modulus containing a bulk scalar field interacting with the space-time curvature R.…”

“…[3], but with V ( ) = 0. However, the discussion in refs [4,5] are related to infinitely large quartic coupling.…”