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

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

2000-11-13

arxiv.org/abs/hep-th/0011102v1

Phys.Rev. D64 (2001) 024008

Physics

High Energy Physics

High Energy Physics - Theory

21 pages latex, three eps figures incorporated

Scientific paper

10.1103/PhysRevD.64.024008

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.

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