标题： 膜世界的诞生 显示英文标题

标题： Birth of the Brane World

摘要： 用哈密顿量方法研究了膜世界的起源。 结果表明，膨胀的膜世界可以从无到有地被创造出来。 从Wheeler-de Witt方程和定义在膜上的标量场的时间相关Schr$\ddot{o}$dinger方程得到的宇宙波函数与传统的四维量子宇宙学中的波函数相同，前提是整体空间确实是反德西特时空。 还讨论了整体空间中大质量物体的影响。 这种分析告诉我们额外维度的存在对膜世界的量子宇宙学产生了非平凡的影响。 这一事实对于膜世界膨胀场景中的量子涨落分析非常重要。 显示英文摘要

摘要： Birth of the brane world is studied using the Hamiltonian approach. It is shown that an inflating brane world can be created from nothing. The wave function of the universe obtained from the Wheeler de-Witt equation and the time-dependent Schr$\ddot{o}$dinger equation for quantized scalar fields on the brane are the same as in the conventional 4-dimensional quantum cosmology if the bulk is exactly the Anti-de Sitter spacetime. The effect of the massive objects in the bulk is also discussed. This analysis tells us the presence of the extra dimension imprints a nontrivial effect on the quantum cosmology of the brane world. This fact is important for the analysis of the quantum fluctuations in the inflationary scenario of the brane world.