有限厚畴壁上的重力陷阱：解析研究
Gravity Trapping on a Finite Thickness Domain Wall: An Analytic Study
摘要：
我们构造了一个引力俘获畴壁势的显式模型，首次可以显式地研究任意畴壁厚度下的引力子波函数涨落。势的具体形式取决于一个参数0 <= x <= pi/2，该参数有效地参数化了畴壁的厚度，具有分别对应于薄壁和厚壁的特定限制x -> 0和x -> pi/2。连续卡鲁扎克莱因波动的分析产生明确的表达式为小和大卡鲁扎克莱因能量。我们还推导出特定的明确的条件，在制度x > 1，其中的波动模式表现出共振行为，这可能sizably影响修改的四维牛顿定律的距离，这通常是由四个数量级大于相关的牛顿定律修改薄壁。
英文摘要：
We construct an explicit model of gravity trapping domain wall potential where for the first time we can study explicitly the graviton wave function fluctuations for any thickness of the domain wall. A concrete form of the potential depends on one parameter 0 <= x <= pi/2, which effectively parameterizes the thickness of the domain wall with specific limits x -> 0 and x -> pi/2 corresponding to the thin and the thick wall, respectively. The analysis of the continuum Kaluza Klein fluctuations yields explicit expressions for both the small and large Kaluza Klein energy. We also derive specific explicit conditions in the regime x > 1, for which the fluctuation modes exhibit a resonance behaviour, and which could sizably affect the modifications of the four-dimensional Newton's law at distances, which typically are by four orders of magnitude larger than those relevant for Newton's law modifications of thin walls.
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