2009 Fiscal Year Final Research Report
Formulation of supersymmetric gauge theory on the lattice
| Project/Area Number |
18540245
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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 |
KAWAMOTO Noboru Hokkaido University, 大学院・理学研究院, 教授 (50169778)
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| Project Period (FY) |
2006 – 2009
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| Keywords | 格子場の理論 / 格子ゲージ理論 / 超対称性 / 超対称格子理論 / 超対称ヤング / ミルズ理論 |
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| Research Abstract |
We have proposed so called link approach formulation of lattice field theory on the lattice. We applied this formulation to the cases of two and three dimensional super Yang-Mills theories on the lattice. Later it was pointed out that there is ordering ambiguity for the product of fields and thus the formulation is inconsistent. In order to solve this problem we investigated simpler low dimensional models in matrix form and proposed several possible proposals as solution. We, however, came to the conclusion that the link approach formulation of lattice supersymmetry can be consistently formulated not as Lie algebraic but as Hopf algebraic symmetry.
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