A Solution of the Randall-Sundrum Model and the Mass Hierarchy Problem

Abstract

A solution of the Randall-Sundrum model for a simplified case (one wall) is obtained. It is given by the $1/k^2$-expansion (thin wall expansion) where $1/k$ is the {\it thickness} of the domain wall. The vacuum setting is done by the 5D Higgs potential and the solution is for a {\it family} of the Higgs parameters. The mass hierarchy problem is examined. Some physical quantities in 4D world such as the Planck mass, the cosmological constant, and fermion masses are focussed. Similarity to the domain wall regularization used in the chiral fermion problem is explained. We examine the possibility that the 4D massless chiral fermion bound to the domain wall in the 5D world can be regarded as the real 4D fermions such as neutrinos, quarks and other leptons.

17 pages, 3 figures, to be published in Class.Quan.Grav., the title has changed slightly

References in corpus (6)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• String Theory and Noncommutative Geometry
• Bulk Standard Model in the Randall-Sundrum Background
• Supergravity on the Brane
• New Regularization Using Domain Wall

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• Effects of temperature on thick branes and the fermion (quasi-)localization
• Some Properties of Domain Wall Solution in the Randall-Sundrum Model
• Gravity and Matters on a pure geometric thick polynomial $f(R)$ brane
• Wall and Anti-Wall in the Randall-Sundrum Model and A New Infrared Regularization
• Casimir Energy of AdS5 Electromagnetism and Cosmological Constant Problem
• Family of Singular Solutions in A SUSY Bulk-Boundary System
• Some Properties of Pole Solution in Six Dimensions
• CP-Violation in Kaluza-Klein and Randall-Sundrum Theories
• CP Violation from a Higher Dimensional Model
• Casimir Energy of the Universe and New Regularization of Higher Dimensional Quantum Field Theories