酉性和奇异背景
Unitarity and singular backgrounds
摘要：
我们计算了引力子Kaluza-Klein谱的背景下的一个裸奇点的所有可能的边界条件的奇异性，这是一致的幺正演化。我们应用非相对论性量子力学的方法与奇异薛定谔势。一般来说，光谱包含一个快子，这是不稳定的标志。只有在奇点处的特定边界条件下，才有没有快子的谱。在这种情况下，最低的引力子模式是无质量的。我们认为，这一结果也适用于曲率奇异性附近的其他类似的几何背景。我们完成了我们的研究，在这个奇异的背景上的Radion扰动和希格斯机制的简要讨论。
英文摘要：
We compute the graviton Kaluza-Klein spectrum on a gravity-dilaton background with a naked singularity for all possible boundary conditions at the singularity which are consistent with unitary evolution. We apply methods from non-relativistic quantum mechanics with singular Schrödinger potentials. In general the spectrum contains a tachyon, a sign of instability. Only for a particular boundary condition at the singularity is the spectrum free of tachyons. In this case the lowest-lying graviton mode is massless. We argue that this result will also hold for other backgrounds with similar geometry near the curvature singularity. We complete our study with a brief discussion on radion perturbations and the Higgs mechanism on this singular background.
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