| Project/Area Number |
13640297
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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 | Saitama Medical University |
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Principal Investigator |
AKAMA Keiichi Saitama Medical College, Physics, AP, 医学部, 助教授 (10105885)
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| Co-Investigator(Kenkyū-buntansha) |
AKABANE Akira Saitama Medical College, Physics, AP, 医学部, 助教授 (40049846)
KATSUURA Kazuo Saitama Medical College, Physics, AP, 医学部, 助教授 (30049861)
MUKAIDA Hisamitsu Saitama Medical College, Physics, Lecturer, 医学部, 講師 (50286093)
INAMI Takeo Chuo University, Physics, Professor, 理工学部, 教授 (20012487)
HATTORI Takashi Kanagawa Dental College, Physics, Lecturer, 歯学部, 講師 (60104494)
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| Project Period (FY) |
2001 – 2003
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| Project Status |
Completed (Fiscal Year 2003)
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| Budget Amount *help |
¥2,700,000 (Direct Cost: ¥2,700,000)
Fiscal Year 2003: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2002: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2001: ¥1,300,000 (Direct Cost: ¥1,300,000)
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| Keywords | brane world / brane induced gravity / soliton / Gauss-Codazzi-Ricci equation / naturalness bound / compositeness / scale invariance / string theory / Brane World / brane geometro-dynamics / dipole moment / 非可換非線形シグマ模型 |
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| Research Abstract |
We obtained the following new results about induce field theory on the brane world or field theories in general. (1)We derived, in a quantum theoretical way, field theories for the geometrical objects, solitonic fluctuations, and trapped objects on the brane worlds, which is localized by higher dimensional soliton. (2)In the non-abelian gauge theories, gauge fields can be composite (i. e. induced field theory) only if there exist so many fermion species as the asymptotic freedom is violated. The composite field coupling constants in the induced field theories are exactly scale invariant. (3)Assuming naturalness, we derived general bounds on the fermion-dipole moments arising from new physics and applied them to the observed results. (4)We extended the three dimensional non-linear sigma model to the non-commutative field theory, and obtained several new results on structure of the solitonic solutions, properties of the moduli, and low energy scattering of the solitons. (5)We successfully constructed CP(n) nonlinear sigma model on non-anti-commutative super spaces in four dimensions and in two dimensions. (6)We investigated phenomenological properties of the SU(3) x SU(3) x U(1) model. (7)The dimensional reduction is reconsidered for the random-field Ising model. (8)Given a two-loop beta function for multiple marginal coupling constants, we derived an asymptotic formula for the running coupling constants driven to an infrared fixed point.
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