标题： 走向没有奇点的量子宇宙学 显示英文标题

标题： Towards Quantum Cosmology without Singularities

摘要： 本文研究了通过量子化消除宇宙奇点的问题。 从五维卡鲁扎-克莱因方法出发，我们首先对非球对称度规部分和标量场进行了量子化。 这些经典上奇异的场在量子化后变得光滑。 此外，我们论证了非微扰量子修正会形成一个标量势。 技术上，该过程对应于二维标量引力的量子化，我们讨论了多个模型。 从四维角度来看，这种方法是一种半经典方法，其中仅对标量场和模量物质场进行量子化。 显示英文摘要

摘要： In this paper we investigate the vanishing of cosmological singularities by quantization. Starting from a 5d Kaluza--Klein approach we quantize, as a first step, the non--spherical metric part and the dilaton field. These fields which are classically singular become smooth after quantization. In addition, we argue that the incorporation of non perturbative quantum corrections form a dilaton potential. Technically, the procedure corresponds to the quantization of 2d dilaton gravity and we discuss several models. From the 4d point of view this procedure is a semiclassical approach where only the dilaton and moduli matter fields are quantized.