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

我们已经开始研究基于弦理论的基本颗粒（包括重力）的基本相互作用的统一理论。我们的目标尤其是以理论不取决于特定的背景时空几何形状的方式来寻找弦理论公式。为此，我们提出了具体问题。也就是说，我们澄清了到目前为止未触及的字符串理论的数学上复杂方面，对早期宇宙中的真空结构有了深刻的见解，并试图将弦的对称性扩展到源源不断的shell。让我们调查我们所取得的成就1。我们分析了在轻单弦场理论中已知的Lorentz异常的取消机理。通过使用S-Matrix方法的方法。和路径整体形式的形式。2。我们阐明了Phi^3理论的数学复杂特征，该特征已被提出为几何独立公式。颗粒…更多r，我们通过使用中点时间处方3。回到原始的爱因斯坦重力理论。我们解决了由于没有隧道障碍的引力激体引起的拓扑变化而引起的相过渡问题。预计这项研究将仔细检查早期宇宙中的真空结构。我们主张Born-Oppenheimer方法的有用性，该方法应该取代半古典近似.4。基于路径积分方法和字符串字段理论，抓住两种方法之间的连接。我们调查了“弦发射顶点操作员”的概念。已经证明，Weyl不变性的需求是第一种方法中的顶点等同于后来运动的经典等效性。 BRST对称性在现场理论方法中的含义是根据路径积分方法中实际的外壳散射放大器进行研究的。5。在二维重力矩阵模型中发现的Virasoro代数进行了物理解释。我们的解释是指连续的非关键弦理论。6。作为我们研究的副产品。有一篇关于二维量子染色体动力学代数扩展的论文。还有一篇有关轻锥字符串字段理论的全面评论文章。较少的