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arXiv 0712.3963hep-ph
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弯曲膜世界中标量场的Casimir力

Casimir force for a scalar field in warped brane worlds

Roman Linares, Hugo A. Morales-Tecotl, Omar Pedraza

摘要:

在寻找膜世界模型中额外维度的印记时,人们通常会建立这些模型,以便它们与已知的低能物理学兼容,从而专注于高能效应。然而,正如亚毫米牛顿定律测试探测重力的模式结构一样,其他低能测试也可能适用于物质。作为一个模型的例子,在这项工作中,我们确定了4D Casimir力对应的标量场的Dirichlet边界条件的两个平行的平面内的单膜的Randall-Sundrum的情况下扩展了一个紧凑的额外的维度。使用格林函数方法,这样的力挑选每个场模式的贡献,就好像它单独作用,但具有由膜上模式波函数的平方给出的权重。在低能量状态下,人们重新获得标准的四维卡西米尔力,该力在无质量的情况下与零模式相关联,或者在有质量的情况下与准定域或共振模式相关联,而额外维度的影响被编码为附加项。

英文摘要:

In looking for imprints of extra dimensions in brane world models one usually builts these so that they are compatible with known low energy physics and thus focuses on high energy effects. Nevertheless, just as submillimeter Newton's law tests probe the mode structure of gravity other low energy tests might apply to matter. As a model example, in this work we determine the 4D Casimir force corresponding to a scalar field subject to Dirichlet boundary conditions on two parallel planes lying within the single brane of a Randall-Sundrum scenario extended by one compact extra dimension. Using the Green's function method such a force picks the contribution of each field mode as if it acted individually but with a weight given by the square of the mode wave functions on the brane. In the low energy regime one regains the standard 4D Casimir force that is associated to a zero mode in the massless case or to a quasilocalized or resonant mode in the massive one whilst the effect of the extra dimensions gets encoded as an additional term.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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