skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Critical analysis of Goldberger-Wise stabilization of the Randall-Sundrum braneworld scenario

Abstract

The Goldberger-Wise mechanism of stabilizing modulus in the Randall-Sundrum braneworld, by introducing a bulk scalar field with quartic interaction terms localized at the 3-branes, has been extremely popular as a stabilizing mechanism when the backreaction of the scalar field on the geometry is negligibly small. In this paper we reexamine the mechanism by an exact analysis without resorting to the approximations adopted by Goldberger and Wise. An exact calculation of the stabilization condition indicates the existence of closely spaced minimum and a maximum for the potential and also brings out some new features involved in the context of the stabilization of such braneworld models.

Authors:
; ;  [1];  [2]
  1. Department of Physics, Harish-Chandra Research Institute, Chhatnag Road, Jhusi, Allahabad-211019 (India)
  2. (India)
Publication Date:
OSTI Identifier:
20935283
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.75.107901; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; APPROXIMATIONS; BRANES; GEOMETRY; INTERACTIONS; M-THEORY; POTENTIALS; SCALAR FIELDS; STABILIZATION

Citation Formats

Dey, Anindya, Maity, Debaprasad, SenGupta, Soumitra, and Department of Theoretical Physics, Indian Association for the Cultivation of Science, Calcutta-700 032. Critical analysis of Goldberger-Wise stabilization of the Randall-Sundrum braneworld scenario. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.107901.
Dey, Anindya, Maity, Debaprasad, SenGupta, Soumitra, & Department of Theoretical Physics, Indian Association for the Cultivation of Science, Calcutta-700 032. Critical analysis of Goldberger-Wise stabilization of the Randall-Sundrum braneworld scenario. United States. doi:10.1103/PHYSREVD.75.107901.
Dey, Anindya, Maity, Debaprasad, SenGupta, Soumitra, and Department of Theoretical Physics, Indian Association for the Cultivation of Science, Calcutta-700 032. Tue . "Critical analysis of Goldberger-Wise stabilization of the Randall-Sundrum braneworld scenario". United States. doi:10.1103/PHYSREVD.75.107901.
@article{osti_20935283,
title = {Critical analysis of Goldberger-Wise stabilization of the Randall-Sundrum braneworld scenario},
author = {Dey, Anindya and Maity, Debaprasad and SenGupta, Soumitra and Department of Theoretical Physics, Indian Association for the Cultivation of Science, Calcutta-700 032},
abstractNote = {The Goldberger-Wise mechanism of stabilizing modulus in the Randall-Sundrum braneworld, by introducing a bulk scalar field with quartic interaction terms localized at the 3-branes, has been extremely popular as a stabilizing mechanism when the backreaction of the scalar field on the geometry is negligibly small. In this paper we reexamine the mechanism by an exact analysis without resorting to the approximations adopted by Goldberger and Wise. An exact calculation of the stabilization condition indicates the existence of closely spaced minimum and a maximum for the potential and also brings out some new features involved in the context of the stabilization of such braneworld models.},
doi = {10.1103/PHYSREVD.75.107901},
journal = {Physical Review. D, Particles Fields},
number = 10,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}
  • We investigate cosmic-ray antiprotons emitted from the galactic primordial black holes (PBHs) in the Randall-Sundrum type-2 braneworld. The recent results of the Balloon-borne Experiment with a Superconducting Spectrometer (BESS) antiproton observation imply the existence of exotic primary sub-GeV antiprotons, one of whose most probable origin is PBHs in our Galaxy. We show that the magnitude of antiproton flux from PBHs in the Randall-Sundrum braneworld is proportional to negative power of the anti-de Sitter radius and immediately find that a large extra dimension can relax upper limits on the abundance of the galactic PBHs. If actually there are more PBHs thanmore » the known upper limit obtained in the pure 4D case, they set a lower bound on the size of the extra dimension above at least 10{sup 20} times 4D Planck length to avoid inconsistency. On completion of the numerical studies, we show that these constraints on the AdS radius are comparable to those obtained from the diffuse photon background by some of the authors in the previous paper. Moreover, in the low accretion rate case, only antiprotons can constrain the braneworld. We show that we will detect signatures of the braneworld as a difference between the flux of the antiprotons predicted in 4D and 5D by future observations in sub-GeV region with a few percent precision.« less
  • In the Randall-Sundrum scenario, our universe is a 4-dimensional 'brane' living in a 5-dimensional bulk spacetime. By studying the scattering of bulk gravity waves, we show that this brane rings with a characteristic set of complex quasinormal frequencies, much like a black hole. To a bulk observer these modes are interpreted as metastable gravity wave bound states, while a brane observer views them as a discrete spectrum of decaying massive gravitons. Potential implications of these scattering resonances are discussed.
  • We study the generation and evolution of gravitational waves (tensor perturbations) in the context of Randall-Sundrum braneworld cosmology. We assume that the initial and final stages of the background cosmological model are given by de Sitter and Minkowski phases, respectively, and they are connected smoothly by a radiation-dominated phase. This setup allows us to discuss the quantum-mechanical generation of the perturbations and to see the final amplitude of the well-defined zero mode. Using the Wronskian formulation, we numerically compute the power spectrum of gravitational waves, and find that the effect of initial vacuum fluctuations in the Kaluza-Klein modes is subdominant,more » contributing not more than 10% of the total power spectrum. Thus it is confirmed that the damping due to the Kaluza-Klein mode generation and the enhancement due to the modification of the background Friedmann equation are the two dominant effects, but they cancel each other, leading to the same spectral tilt as the standard four-dimensional result. Kaluza-Klein gravitons that escape from the brane contribute to the energy density of the dark radiation at late times. We show that a tiny amount of the dark radiation is generated due to this process.« less
  • We present a method to probe the Randall-Sundrum type-2 (RS2) braneworld with the Hawking radiation of small, five-dimensional primordial black holes (PBHs). There are three important effects originating from the nature of braneworld; (i) Slow expansion rate in the earliest radiation dominated era makes the mass spectrum of PBHs soft, (ii) but, at the same time, accretion of surrounding radiation fluid may occur and lead to relative enhancement of the PBH abundance, (iii) Moreover, the large extra dimension lowers the Hawking temperature of each hole and the spectra of emitted particles via Hawking radiation are drastically changed. Applying the abovemore » effects to two distinctive astrophysical observations, the diffuse X-ray/{gamma}-ray background and the cosmic-ray antiproton in sub-GeV region, we constrain the PBH abundance and/or braneworld parameters such as the size of the extra dimension and the efficiency of accretion.« less
  • The Randall-Sundrum warped braneworld model is generalized to six and higher dimensions such that the warping has a nontrivial dependence on more than one dimension. This naturally leads to a brane-boxlike configuration along with scalar fields with possibly interesting cosmological roles. Also obtained naturally are two towers of 3 branes with mass scales clustered around either of the Planck scale and TeV scale. Such a scenario has interesting phenomenological consequences including an explanation for the observed hierarchy in the masses of standard model fermions.