1995 Fiscal Year Final Research Report Summary
Supersymmetry and unified theories
| Project/Area Number |
05640334
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
素粒子・核・宇宙線
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
SAKAI Norisuke Department of Physics, Tokyo Institute of Technology, Professor, 理学部, 教授 (80108448)
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| Co-Investigator(Kenkyū-buntansha) |
TANII Yoshiaki Department of Physics, Saitama University, Research Associate, 理学部, 助手 (50207172)
KANASUGI Hirotaka Department of Physics, Tokyo Institute of Technology, Research Associate, 理学部, 助手 (30016076)
KITAZAWA Yoshihisa Department of Physics, Tokyo Institute of Technology, Associate Professor, 理学部, 助教授 (10195258)
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| Project Period (FY) |
1993 – 1995
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| Keywords | supersymmetry / unified thoery / electric dipole moment / CP violation / matrix model / dilaton / 2+epsilon dimensions / renormalization group |
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| Research Abstract |
Supersymmetric Theories are the most promissing candidate for unified theories. At the electroweak phase transition, baryon number is violated. With this mechanism, we computed baryon number of the universe in the minimal supersymmetric theory.
CP violation is the least understood physical phenomena of elementary particles. It is observed only in neutral Kaon decays. We have computed neutron electric dipole moment as another possible experimentally accessible CP violating phenomena. We found that the minimal supersymmetric thoery can give a value which cna be measured by improving the experimental precision of two orders of magnitude.
We have found that matrix model satisfied a nonlinear renormalization group equation. We have found various critical exponents by this method.
As another possible formulation of quantum gravity, we studied quantum gravity in 2+epsilon dimensions. We have especially interested in gravity coupled to dilaton.This theory can be smoothly continued analytically beyond 2 dimensions. We have studied also the case with nonlinear sigma models and fomulated supergravity.
We have studied supersymmetric Yang-Mills thoeries in 2 dimensions. By means of discretized light-cone quantization, we have evaluated massive spectra. We have succeeded to preserve supersymmetry in regularizing the theory.
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