2017 Fiscal Year Final Research Report
Lattice gauge theories with tensor network scheme
| Project/Area Number |
15H03651
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | University of Tsukuba |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
TAKEDA Shinji 金沢大学, 数物科学系, 助教 (60577881)
SHIMIZU Yuya 理化学研究所, 計算科学研究機構, 特別研究員 (50710191)
YOSHIMURA Yusuke 筑波大学, 計算科学研究センター, 研究員 (10756844)
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| Project Period (FY) |
2015-04-01 – 2018-03-31
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| Keywords | 格子ゲージ理論 / テンソルネットワーク / テンソル繰り込み群 |
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| 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).
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| Free Research Field |
素粒子理論
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