Studies on the quantum gravity effects in the early universe and black holes via string field theory and D-branes

利用弦场理论和D-膜研究早期宇宙和黑洞中的量子引力效应

• 批准号: 21740198
• 负责人: KOBAYASHI Shinpei
• 金额: $ 2.83万
• 依托单位: Gunma National College of Technology
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Young Scientists (B)
• 财政年份: 2009
• 资助国家: 日本
• 起止时间: 2009 至 2012
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21740198/
• 关键词: 宇宙物理; 素粒子論; 量子重力; 非可換幾何学; 超弦理論; 弦理論

We investigated a three-dimensional gravitational theory on a noncommutative space which has a cosmological constant term only as a model which includes quantum gravity effects. We obtained various solutions that correspond to bubbles of spacetimes or interpolates zero metric and Minkowski metric and so on. All solutions we obtained are non-perturbative in the noncommutative parameter, therefore they are thought to be closely related to quantum gravity.We also investigated the fuzzy disc, which is a disc-shaped region in a noncommutative plane. We showed that one can introduce a concept of angles to the fuzzy disc, by using the phase operator and phase states known in quantum optics. As an application, we constructed fan-shaped soliton solutions of a scalar field theory on a fuzzy disc, which might correspond to a fan-shaped D-brane. We also applied this concept to an experimental test of noncommutativity by laser physics.

本文研究了一个只含有宇宙学常数项的非对易空间上的三维引力理论，它是一个包含量子引力效应的模型。我们得到了与时空泡相对应的各种解，以及插值零度规和Minkowski度规等解，我们得到的所有解在非对易参数下都是非微扰的，因此被认为与量子引力密切相关，我们还研究了非对易平面上的盘形区域--模糊盘.我们表明，人们可以引入一个角度的概念，模糊盘，通过使用相位算符和相位在量子光学中已知的状态。作为应用，我们构造了模糊圆盘上标量场理论的扇形孤子解，它可能对应于扇形D-膜。我们还将这一概念应用于激光物理对非对易性的实验检验。