UV caps, IR modification of gravity, and recovery of 4D gravity in regularized braneworlds
UV caps, IR modification of gravity, and recovery of 4D gravity in regularized braneworlds
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DOI：
10.1103/physrevd.78.084018
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发表时间：
2008-06
影响因子：
5
通讯作者：
Tsutomu Kobayashi
中科院分区：
文献类型：
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作者：
Tsutomu Kobayashi
在六维圆锥膜世界的背景下，我们考虑了一个简单而显式的模型，该模型包含了引力的远距离修正和余维-2奇点的正则化。为了解决圆锥奇点，我们用环状的余维1膜代替余维2膜，在内部填充规则的帽。假设帽中的六维普朗克尺度远大于体普朗克尺度，这就产生了类似于膜诱导引力的效应。研究了尖圆锥形体在正则化膜上的弱重力作用。我们通过线性分析表明，短距离的引力可以用四维的布兰斯-迪克理论有效地描述，而远距离的引力则具有更高的维度。线性分析在某个中间尺度下失效，在这个中间尺度下，由于膜弯曲的二阶效应，四维爱因斯坦引力被证明是恢复的。
In the context of six-dimensional conical braneworlds we consider a simple and explicit model that incorporates long-distance modification of gravity and regularization of codimension-2 singularities. To resolve the conical singularities we replace the codimension-2 branes with ringlike codimension-1 branes, filling in the interiors with regular caps. The six-dimensional Planck scale in the cap is assumed to be much greater than the bulk Planck scale, which gives rise to the effect analogous to brane-induced gravity. Weak gravity on the regularized brane is studied in the case of a sharp conical bulk. We show by a linear analysis that gravity at short distances is effectively described by the four-dimensional Brans-Dicke theory, while the higher dimensional nature of gravity emerges at long distances. The linear analysis breaks down at some intermediate scale, below which four-dimensional Einstein gravity is shown to be recovered thanks to the second-order effects of the brane bending.