arXiv 0712.36922007-12hep-th

具有度量奇点的翘曲空间中的Kaluza-Klein塔

Kaluza-Klein towers in warped spaces with metric singularities

Fernand Grard, Jean Nuyts

备注：: 33 pages, 1 figure
发表信息：: Nucl.Phys.B811:123-154,2009
DOI：: 10.1016/j.nuclphysb.2008.11.016

摘要：

我们提出来解释质量尺度层次的翘曲模型的版本已经通过在度量中引入一个或多个奇点而得到扩展。我们把自己限制在一个真正的无质量标量场，假设它在一个五维体中传播，而额外的维在一个带或一个圆上被紧致化。同样强调的埃尔米特性和交换性的角座克莱因运营商的属性，我们已经建立了所有允许的边界条件施加在字段上。从它们中，对于给定的奇点位置，我们可以推导出构建卡鲁扎·克莱因塔的质量本征值，或者超光速子，或者零质量态。假设普朗克质量是高质量标度，并且通过对所有边界条件唯一的主要翘曲参数的选择，低质量本征值是TeV的量级，以这种方式解释质量标度等级。在我们的模型中，物理质量与Kaluza Klein本征值相关，取决于物理膜的位置，这是模型的任意参数。说明性的数值计算可视化卡鲁扎克莱因质量特征值塔的结构。在像LHC这样的高能对撞机上观察到的具有其特征结构的质量塔将是该模型的指纹。

英文摘要：

The version of the warp model that we proposed to explain the mass scale hierarchy has been extended by the introduction of one or more singularities in the metric. We restricted ourselves to a real massless scalar field supposed to propagate in a five dimensional bulk with the extradimension being compactified on a strip or on a circle. With the same emphasis on the hermiticity and commutativity properties of the Kakuza Klein operators, we have established all the allowed boundary conditions to be imposed on the fields. From them, for given positions of the singularities, one can deduce either mass eigenvalues building up a Kaluza Klein tower, or a tachyon, or a zero mass state. Assuming the Planck mass to be the high mass scale and by a choice, unique for all boundary conditions, of the major warp parameters, the low lying mass eigenvalues are of the order of the TeV, in this way explaining the mass scale hierarchy. In our model, the physical masses are related to the Kaluza Klein eigenvalues, depending on the location of the physical brane which is an arbitrary parameter of the model. Illustrative numerical calculations are given to visualize the structure of Kaluza Klein mass eigenvalue towers. Observation at high energy colliders like LHC of a mass tower with its characteristic structure would be the fingerprint of the model.

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