A new dimension hidden in the shadow of a wall

A new dimension hidden in the shadow of a wall
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隐藏在墙影中的新维度

DOI:
10.1016/j.physletb.2007.06.054
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发表时间:
2007
期刊:
影响因子:
4.4
通讯作者:
N. Kaloper
N. Kaloper
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
N. Kaloper

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我们提出了一种新的方法来隐藏第五维空间,并在远红外线中修改重力。一个五维的引力张力膜将横向空间折叠成一个截锥,由膜塞住。对于近临界张力,锥形开口很小,空间变成非常窄的锥形长条。一个非常长的部分,长度相当于膜半径除以剩余的圆锥角,这个长条很好地近似于一个狭窄的圆柱体终止于膜上。在这个圆柱形的喉道内,我们可以简化关于圆的理论。在圆半径和圆柱体长度之间的距离上,理论看起来是4D的,具有类似Brans-Dicke的重力和优选方向,而在更大的距离上,圆锥体打开,理论变成5D。喉道中的引力光标量可以通过物质相互作用和锥上的量子有效势的相互作用得到有效的局域质量项,从而抑制其长程效应。我们讨论一些现象学上有趣的后果。
We propose a new way to hide the fifth dimension, and to modify gravity in the far infra-red. A gravitating tensional membrane in five dimensions folds the transverse space into a truncated cone, stoppered by the membrane. For near-critical tension, the conical opening is tiny, and the space becomes a very narrow conical sliver. A very long section, of length comparable to the membrane radius divided by the remaining conical angle, of this sliver is well approximated by a narrow cylinder ending on the membrane. Inside this cylindrical throat we can reduce the theory on the circle. At distances between the circle radius and the length of the cylinder, the theory looks 4D, with a Brans–Dicke-like gravity, and a preferred direction, while at larger distances the cone opens up and the theory turns 5D. The gravitational light scalar in the throat can get an effective local mass term from the interplay of matter interactions and quantum effective potentials on the cone, which may suppress its long range effects. We discuss some phenomenologically interesting consequences.