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Abstract: Inspired by the warped Randall Sundrum scenario proposed to solve the massscale hierarchy problem with a compactified fifth extra dimension, a similarmodel with no metric singularities has been elaborated. In this framework, theKaluza-Klein reduction equations for a real massless scalar field propagatingin the bulk have been studied carefully from the point of view of hermiticityso as to formulate in a mathematically rigorous way all the possible boundaryconditions and corresponding mass eigenvalue towers and tachyon states. Thephysical masses as observable in our four-dimensional brane are deduced fromthese mass eigenvalues depending on the location of the brane on the extradimension axis. Examples of mass towers and tachyons and related fieldprobability densities are presented from numerical computations performed forsome arbitrary choices of the parameters of the model.

Autor: Fernand Grard, Jean Nuyts

Fuente: https://arxiv.org/

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