Budget Amount *help |
¥16,770,000 (Direct Cost: ¥12,900,000、Indirect Cost: ¥3,870,000)
Fiscal Year 2017: ¥5,980,000 (Direct Cost: ¥4,600,000、Indirect Cost: ¥1,380,000)
Fiscal Year 2016: ¥6,240,000 (Direct Cost: ¥4,800,000、Indirect Cost: ¥1,440,000)
Fiscal Year 2015: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
|
Outline of Final Research Achievements |
Tensor Network (TN) scheme is a new kind of theoretical and numerical method to analyze many body systems, which has been getting much attention in various research fields after 2000s. This scheme has a great advantage in numerical aspect: It is free from the notorious sign problem in the Monte Carlo method. Our purpose is to apply the TN scheme to the research field of elementary particle physics. We have succeeded in developing an algorithm called the Grassmann higher order tensor renormalization group (GHOTRG), which is applicable to higher dimensional systems, and the detailed analyses of two-dimensional lattice Schwinger model and the construction of a TN representation for two-dimensional lattice N=1 Wess-Zumino model (a supersymmetric theory).
|