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Studies on Nonperturbative Effects in Superstring Theory Using Matrix Models

使用矩阵模型研究超弦理论中的非微扰效应

基本信息

批准号：
13135224
负责人：
KITAZAWA Yoshihisa
金额：
$ 16.13万
依托单位：
High Energy Accelerator Research Organization (2004-2006)The High Energy Accelerator Research Organization (2001-2003)
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research on Priority Areas
财政年份：
2001
资助国家：
日本
起止时间：
2001 至 2006
项目状态：
已结题

项目摘要

In this project, the head investigator Y. Kitazawa applied the matrix model, which is a promising candidate for nonperturbative formulation of superstring theory, to the studies aiming at microscopic understanding of gravity. In particular, he studied the structure of vertex operators which couples to the degrees of freedom in supergravity, including fermionic degrees of freedom.S. Iso proposed a new derivation of the Hawking radiation arising from black holes based on considerations of the quantum anomaly near the horizon, taking account of both the quantum nature and the causal nature of black holes.J. Nishimura studied non-perturbative dynamics in superstring theory and noncommutative space time based on analyzes of matrix models. In particular, he clarified the spontaneous breaking of translational symmetry, which gauge theories on noncommutative geometry exhibits, and demonstrated the existence of a nontrivial continuum limit under such circumstances.H. Aoki, together with S. Iso, … More formulated the index theorem with projection operators for arbitrary background fields on the 2d fuzzy sphere using the Dirac operator satisfying the Ginsparg-Wilson relation. This enables the classification of configurations into the topological sectors.K. Hamada constructed a scenario of the universe evolution based on conformal quantum gravity, in which conformally invariant universe, through an inflation era, undergoes a transition into a classical space time at the dynamical scale originating from the asymptotic freedom. Furthermore, he derived an evolution equation from the effective action including the quantum anomaly effects from the path integral measure, and simulated the evolution of the quantum fluctuation of gravity. He obtained the spectrum at the space-time transition point, and calculated the spectrum of temperature fluctuations, which agreed nicely with the WMAP data.M. Natsuume studied the plasma phase of gauge theory using the AdS/CFT duality. In particular, he evaluated the J/Psi suppression, which is a characteristic phenomenon of the quark-gluon plasma. Less

在这个项目中，首席研究员Y. Kitazawa将矩阵模型应用到旨在微观理解重力的研究中，这是超弦理论的非微扰公式的一个有希望的候选者。特别地，他研究了超重力中与包括费米子自由度在内的自由度耦合的顶点算子的结构。Iso在考虑视界附近的量子异常的基础上，同时考虑了黑洞的量子性质和因果性质，提出了黑洞产生的霍金辐射的新推导。Nishimura在分析矩阵模型的基础上研究了超弦理论和非对易时空中的非微扰动力学。特别是，他澄清了非交换几何规范理论所表现出的平移对称的自发破缺，并证明了在这种情况下非平凡连续体极限的存在。Aoki和S. Iso，…More利用满足Ginsparg-Wilson关系的Dirac算子，构造了二维模糊球上任意背景域的带投影算子的指标定理。这样可以将配置分类到拓扑扇区中。Hamada构建了一个基于共形量子引力的宇宙演化场景，其中共形不变宇宙通过暴胀时代，在动力尺度上由渐近自由向经典时空过渡。在此基础上，推导了包含路径积分测量的量子异常效应的有效作用演化方程，并模拟了引力量子涨落的演化过程。他得到了时空转变点的光谱，并计算了温度波动的光谱，与WMAP数据吻合得很好。natsusume利用AdS/CFT对偶研究了规范理论的等离子体相。特别地，他评估了J/Psi抑制，这是夸克-胶子等离子体的特征现象。少