2017 Fiscal Year Final Research Report
Analytic and numerical study of nonperturbative formulation for superstring theory by matrix model
| Project/Area Number |
15K05046
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
|
|---|
| Research Institution | Shizuoka University |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2015-04-01 – 2018-03-31
|
| Keywords | 行列模型 / インフレーション宇宙 / 輻射優勢宇宙 / モンテカルロシミュレーション / 大規模並列計算 / ファジー球面 / エンタングルメントエントロピー |
|---|
| Outline of Final Research Achievements |
Superstring theory is the most promising candidate for a unified theory including gravity. The IIB matrix model is expected to define superstring theory nonperturbatively. I studied the model by Monte Carlo simulation with a large scale parallel computation and obtained the results which suggest that the inflationary and radiation dominated universes emerge dynamically in the model. I developed a renormalization group method that enables us to effectively obtain results for a large matrix size by simulating the model with a small matrix size. I found how the model is independent of an infrared cutoff introduced to well-define the model. To gain insights into deriving geometry from matrices, I calculated entanglement entropy in a scalar field theory on the fuzzy sphere, which is realized by a matrix model, and obtained a generalized area law for entanglement entropy. By calculating correlation functions, I also showed that the theory is renormalizable.
|
| Free Research Field |
素粒子論
|
