A Novel Mass Hierarchy and Discrete Excitation Spectra from Quantum-Fluctuating D-branes

Abstract

We elaborate further on a recently proposed scenario for generating a mass hierarchy through quantum fluctuations of a single D3 brane, which represents our world embedded in a bulk five-dimensional space time. In this scenario, the quantum fluctuations of the D3-brane world in the bulk direction, quantified to leading order via a `recoil' world-sheet logarithmic conformal field theory approach, result in the dynamical appearance of a supersymmetry breaking (obstruction) scale alpha. This may be naturally taken to be at the TeV range, in order to provide a solution to the conventional gauge-hierarchy problem. The bulk spatial direction is characterized by the dynamical appearance of an horizon located at +- 1/alpha, inside which the positive energy conditions for the existence of stable matter are satisfied. To ensure the correct value of the four-dimensional Planck mass, the bulk string scale M_s is naturally found to lie at an intermediate energy scale of 10^{14} GeV. As an exclusive feature of the D3-brane quantum fluctuations (`recoil') we find that, for any given M_5, there is a discrete mass spectrum for four-dimensional Kaluza-Klein (KK) modes of bulk graviton and/or scalar fields. KK modes with masses 0 <= m < sqrt{2}alpha << M_s are found to have wavefunctions peaked, and hence localized, on the D3 brane at z=0.

21 pages latex, three eps figures incorporated

References in corpus (28)

• Modulus Stabilization with Bulk Fields
• Brane cosmological evolution in a bulk with cosmological constant
• Universal Aspects of Gravity Localized on Thick Branes
• An exotic class of Kaluza-Klein models
• Bulk Gauge Fields in the Randall-Sundrum Model
• Warped Phenomenology
• Phenomenology of a Stabilized Modulus
• Opening up extra dimensions at ultra-large scales
• Self-tuning flat domain walls in 5d gravity and string theory
• Bulk Fields in the Randall-Sundrum Compactification Scenario
• The Shape of Gravity
• Cosmological 3-Brane Solutions
• General Properties of the Self-tuning Domain Wall Approach to the Cosmological Constant Problem
• Compact Hyperbolic Extra Dimensions: Branes, Kaluza-Klein Modes and Cosmology
• A Three three-brane Universe:New Phenomenology for the New Millennium?
• Non-standard compactifications with mass gaps and Newton's law
• Supersymmetric Domain-Wall World from D=5 Simple Gauged Supergravity
• Brane World Sum Rules
• Dynamical Formation of Horizons in Recoiling D Branes
• Graviton Propagators, Brane Bending and Bending of Light in Theories with Quasi-Localized Gravity
• Boundary Logarithmic Conformal Field Theory
• Many-Brane Extention of the Randall-Sundrum Solution
• Crystal Manyfold Universes in AdS Space
• Mass Hierarchy from Many Domain Walls
• Mass Gap in Kaluza-Klein Spectrum in a Network of Brane Worlds
• Mass Hierarchy and Trapping of Gravity
• D-Brane Recoil and Supersymmetry Obstruction
• A mass hierarchy from recoiling D branes

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• The O(n) Model in the $n\to 0$ Limit (self-avoiding-walks) and Logarithmic Conformal Field Theory
• Recoiling D-branes