2014 Fiscal Year Final Research Report
Exact formulation of supersymmetric lattice gauge theory and the extention to lattice gravity
| Project/Area Number |
22540261
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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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 | Hokkaido University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
ADDA Alessandro D' トリノ大学, 名誉教授
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| Project Period (FY) |
2010-04-01 – 2015-03-31
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| Keywords | 格子ゲージ理論 / 超対称場の理論 / 格子超対称性 / 格子カイラルフェルミオン |
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| Outline of Final Research Achievements |
Aim of the project is to find the exact lattice supersymmetry(SUSY)
formulation. In the process we hope to reveal a hidden formulation behind the difficulties and apply the formulation to lattice gravity with matter. There are two notorious problems for lattice SUSY: (1) Breakdown of Leibniz rule for difference operator, (2) Lattice chiral fermion copy. To solve these difficulties, respectively, we proposed two formulations: (1) Link approach, (2) Super doubler approach. The former leads to non-commutative field theory while the latter leads to non-local field theory. In the naive formulation the latter breaks associativity so that it cannot be extended to lattice super Yang-Mills. We, however, found a lattice formulation which keeps the associativity and is equivalent to the continuum formulation. There remains a question of regularization of the formulation.
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| Free Research Field |
素粒子論
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