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Space-Time Independent Formulation of String Theories

弦理论的时空独立表述

基本信息

批准号：
01540247
负责人：
KIKKAWA Keiji
金额：
$ 1.34万
依托单位：
Department of Physics Faculty of Science Osaka University
依托单位国家：
日本
项目类别：
Grant-in-Aid for General Scientific Research (C)
财政年份：
1989
资助国家：
日本
起止时间：
1989 至 1990
项目状态：
已结题

项目摘要

We have started our research for constructing the unified theory of fundanmental interactions of elementary particles including gravity on the basis of string theories. Our aim is, in particular, to look for the string theory formulation in such a way that the theory does not depend on a particular background space-time geometry. For this purpose we have set forth with concrete problems. Namely, we clarified mathematically complicated aspects of string theories left untouched so far, gained deep insights into the vacuum structures in the early universe, and tried to extend the stringy symmetries to the off-mass-shell. Let us survey what we have achieved.1. We analyzed the mechanism of cancellation of the Lorentz anomaly known in the light-cone string field theory. By using the methods of S-matrix approach. And of path integral formalism.2. we clarified mathematically complicated features of the PHI^3 theory, which has been put forward as a geometry independent formulation. In particula … More r, we proved the invariance under the general coordinate transformation by using the mid-point time prescription.3. Going back to the original Einstein theory of gravity. We tackled the phase transition problem accompanied by topology change caused by gravitational instantons with no tunneling barrier. This study is expected to serve to scrutinize the vacuum structures in the early universe. We advocated the usefulness of the Born-Oppenheimer method which is supposed to replace the semi-classical approximation .4. To grasp the connection between the two approaches based on the path integral method and the string field theory. We investigated the concept of "string emission vertex operator" . It has been proved that the requirement of the Weyl invariance the vertex in the first approach is equivalent to the classical equation of motion in the latter. The implications of the BRST symmetry in the field theory approach is investigated in terms of the actual off-shell scattering amplitudes in the path integral approach.5. A physical interpretation was given of the Virasoro algebra discovered in the two-dimensional matrix models of gravity. Our interpretation is referred to the continuum non-critical string theory.6. As a byproduct of our research. There is a paper on the algebraic extension of two-dimensional quantum chromodynamics. There is also a comprehensive review article on the light-cone gauge string field theory. Less

我们已经开始了在弦理论的基础上建立包括引力在内的基本粒子基本相互作用统一理论的研究。我们的目标是，特别是，寻找这样一种方式，该理论不依赖于一个特定的背景时空几何的弦理论公式。为此目的，我们已经提出了具体的问题。也就是说，我们澄清了弦理论中迄今为止尚未触及的数学复杂方面，深入了解了早期宇宙中的真空结构，并试图将弦对称性扩展到非质量壳层。让我们回顾一下我们所做的工作。我们分析了光锥弦场论中已知的洛伦兹反常的抵消机制。采用S矩阵方法。和路径积分形式.我们阐明了PHI ^[3]理论的数学复杂性，该理论是作为一种与几何无关的公式提出的。特别是 ...更多信息 r，利用中点时间规定证明了在一般坐标变换下的不变性.回到最初的爱因斯坦引力理论。我们解决了没有隧穿势垒的引力瞬子引起的伴随拓扑变化的相变问题。这项研究有望有助于仔细研究早期宇宙中的真空结构。我们提倡用Born-Oppenheimer方法代替半经典近似.掌握路径积分方法与弦场论方法之间的联系。研究了弦发射顶点算子的概念。证明了第一种方法对顶点的Weyl不变性的要求与第二种方法对经典运动方程的要求是等价的。BRST对称性在场论方法中的含义是根据路径积分方法中的实际离壳散射振幅来研究的.对在二维引力矩阵模型中发现的Virasoro代数给出了物理解释。我们的解释是指连续非临界弦理论。作为我们研究的副产品。有一篇关于二维量子色动力学的代数推广的论文。还有一篇关于光锥规范弦场论的综合评论文章。少