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，吉济泽州的负责人Y. Y. Y. Y.应用矩阵模型，该模型是superstring理论非扰动公式的承诺候选者，目的是旨在对重力的显微镜理解。特别是，他研究了顶点操作员的结构，这些结构将其融入超级自由度，包括费米金自由度。 ISO提出了基于对地平线附近的量子异常的考虑，对黑洞产生的鹰辐射的新推导，同时考虑了黑洞的量子性质和因果质。 Nishimura Studio研究了基于矩阵模型的分析，研究了超弦理论和非交通时空的非扰动动力学。特别是，他阐明了转化对称性的赞助破坏，该对称的理论在非交通性几何形状上表现出来，并证明了在这种情况下存在非繁琐的持续限制。 Aoki与S. ISO一起…使用满足Ginsparg-Wilson关系的DIRAC操作员在2D模糊球体上使用投影操作符和投影操作员进行了投影算子。这将配置分类为拓扑扇区。 Hamada建立了基于共形量子引力的宇宙进化的场景，在通货膨胀时代，在这种动态量表上，通过通货膨胀时代，在膨胀时代，与不对称自由的经典时空进行了过渡。此外，他从有效作用中得出了一个进化方程，包括路径积分测量的量子异常效应，并模拟了重力的量子波动的演变。他在时空过渡点获得了频谱，并计算了温度波动的频谱，该温度波动与WMAP数据非常同意。 Natsuume使用ADS/CFT二元性研究了仪表理论的等离子体阶段。特别是，他评估了J/psi抑制，这是夸克 - 胶原等离子体的特征现象。较少的