| Project/Area Number |
12640259
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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 |
素粒子・核・宇宙線
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| Research Institution | NIIGATA UNIVERSITY |
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Principal Investigator |
SO Hiroto NIIGATA UNIVERSITY Faculty of Science Associate Professor, 理学部, 助教授 (20196992)
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| Co-Investigator(Kenkyū-buntansha) |
NAKANO Hiroaki Faculty of Science Assistant, 理学部, 助手 (60262424)
ITOH Katsumi Faculty of Education Associate Professor and Human Sciences, 教育人間科学部, 助教授 (50242392)
IGARASHI Yuji Faculty of Education Professor and Human Sciences, 教育人間科学部, 教授 (50151262)
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| Project Period (FY) |
2000 – 2002
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| Project Status |
Completed (Fiscal Year 2002)
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| Budget Amount *help |
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 2002: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2001: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2000: ¥800,000 (Direct Cost: ¥800,000)
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| Keywords | Lattice Field Theory / Supersymmetry / Master Equation / Continuum Limit / 格子フェルミオン |
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| Research Abstract |
In order to acquire deeper knowledge for the standard model of particle physics, lattice supersymmetry becomes a powerful tool but many difficulties exist. Even if the supersymmetry is realized, we must take a continuum limit for the lattice field theory because our world is considered as a continuous manifold. In the term of this grant, I and other investigators tried to define supersymmetry on lattice and to calculate its nonperturbative effects. Our results are classified into the following three parts ;
(1) Symmetry Realization on Lattice Field Theories (Quantum Master Equation)
Generally, regularized theories such as lattice theories have less symmetry than original one. We clarified that a new realization appears for the symmetry instead of loss of the symmetry. A quantum master equation controls the newly realized symmetry.
(2) Ichimatsu Lattice and Exact Fermionic Symmetry
We proposed a new lattice pattern with mod 2 translational symmetry which is called Ichimatsu lattice. It is surprising that we found the exact fermionic symmetry on the lattice and the symmetry survives after the naive continuum limit. This symmetry is pre-realized under finite lattice constant before the real supersymmetry. Also some numerical analyses are studied.
(3) Application to Microscopic Models
Although it is generally difficult to find some explicit evidences, it may smart to investigate the effects on many Yukawa coupling constants. My investigator and his collaborators analyzed based on superconformal models. They showed that realistic Yukawa coupling constants is possible in this superconformal models.
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