2012 Fiscal Year Final Research Report
Realization of lattice supersymmetry with over degree of freedom
| Project/Area Number |
20540274
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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 | Ehime University |
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Principal Investigator |
SO Hiroto 愛媛大学, 大学院・理工学研究科, 教授 (20196992)
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| Co-Investigator(Kenkyū-buntansha) |
KATO Mitsuhiro 東京大学, 大学院・総合文化研究科, 教授 (80185876)
SAKAMOTO Makoto 神戸大学, 大学院・理学(系)研究科(研究院), 助教 (30183817)
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| Project Period (FY) |
2008 – 2012
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| Keywords | 素粒子(理論) |
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| Research Abstract |
The result of this project is listed as the followings;
1. Translational invariant and local lattice filed theories have been formulated.
2. Ordinary Leibniz rue cannot be held with finite flavor on translational invariant and local lattice theory.
3. The matrix representation of the lattice theory as the lattice size flavor one satisfying with Leibniz rule is neccessarily nonlocal theory after the continuum limit.4. Another local lattice framwork with Kaluza-Klein modes is also inconsistent with the Leibniz rule
5. The only possiblity for the lattice supersymmetry with locality is to rebuild a Leibniz rule in the lattice proper formalism.
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