Gauge-invariant fluctuations of scalar branes
Gauge-invariant fluctuations of scalar branes
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DOI：
10.1103/physrevd.64.064023
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发表时间：
2001-06
影响因子：
5
通讯作者：
M. Giovannini
中科院分区：
文献类型：
--
作者：
M. Giovannini
本文将Barthel形式主义推广到翘曲几何的情形。确定由膜的标量涨落引起的度规规范不变涨落的系统被简化为一组关于Barrington势和标量张量作用量的正则正规模的Schr“odinger类方程。根据四维洛伦兹变换，对几何的标量、矢量和张量模式进行了分类。虽然几何的张量模存在于膜上，决定了对牛顿定律的修正，但标量和矢量涨落表现出不可归一化的零模，因此不在膜上局域化。用超对称量子力学分析了涨落的质量模谱。
A generalization of the Bardeen formalism to the case of warped geometries is presented. The system determining the gauge-invariant fluctuations of the metric induced by the scalar fluctuations of the brane is reduced to a set of Schr\"odinger-like equations for the Bardeen potentials and for the canonical normal modes of the scalar-tensor action. Scalar, vector and tensor modes of the geometry are classified according to four-dimensional Lorentz transformations. While the tensor modes of the geometry live on the brane determining the corrections to Newton law, the scalar and vector fluctuations exhibit non-normalizable zero modes and are, consequently, not localized on the brane. The spectrum of the massive modes of the fluctuations is analyzed using supersymmetric quantum mechanics.