Research for ideal gas with fractional statistics
Project/Area Number  07640384 
Research Category 
GrantinAid for Scientific Research (C)

Section  一般 
Research Field 
素粒子・核・宇宙線

Research Institution  High Energy Accelerator Reseach Organization 
Principal Investigator 
ISO Satoshi High Energy Accelerator Research Organization, Institute of Particles and Nuclear Studies, Associated Professor, 素粒子原子核研究所, 助教授 (20242092)

Project Fiscal Year 
1995 – 1997

Project Status 
Completed(Fiscal Year 1997)

Budget Amount *help 
¥2,300,000 (Direct Cost : ¥2,300,000)
Fiscal Year 1997 : ¥600,000 (Direct Cost : ¥600,000)
Fiscal Year 1996 : ¥800,000 (Direct Cost : ¥800,000)
Fiscal Year 1995 : ¥900,000 (Direct Cost : ¥900,000)

Keywords  string theory / spacetime structure / matrix model / universality / type IIB string / nonperturbative effect / branched polymer / spacetime strucinture / 分数統計 / Matrix Model / Universality / SpaceTime Structure / Branched Polymer / type IIB superstring / 行列模型 / 乱れた系 / 相関関数の普遍性 / CalogeroSutherland模型 / CalogoroSutherland模型 / 可積分系 
Research Abstract 
We have studied analysis of type IIB matrix model in 1997. Superstring theory has been known as a "theory of everything" which can unify all interactions including gravity but nobody could not investigate its nonperturbative aspects of it. In the fall of 1996 H.Kawai et.al.at KEK proposed a constructive model of type IIB superstring. By analysing this model we can in principle solve many difficult problems such as why we are live in four dimensions or why the cosmological constant is vanishing. I investigated this problem together with the group of H.Kawai and have shown how our spacetime appears from the model. Since the diagonal components become spacetime coodinates in this model, we can discuss the properties of spacetime by integrating the off diagonal components and obtaining the effective action for these diagonal components. We have indeed obtained the effective action and discussed several properties of this action. Since the model is still difficult to solve, we can not be sure but we have shown some possibilities how our four dimensional spacetime appears.

Report
(5results)
Research Output
(9results)