| Project/Area Number |
63540219
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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 |
核・宇宙線・素粒子
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| Research Institution | HIROSHIMA UNIVERSITY |
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Principal Investigator |
FUJIKAWA Kazuo Hiroshima Univ., Research Institute for Theoretical Physics, Professor, 理論物理学研究所, 教授 (30013436)
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| Co-Investigator(Kenkyū-buntansha) |
UEHARA Shozo Hiroshima Univ., Research Institute for Theoretical Physics, Lecturer, 理論物理学研究所, 助手 (20168652)
KUBO Reijiro Hiroshima Univ., Research Institute for Theoretical Physics, Associate Professor, 理論物理学研究所, 助教授 (60034609)
HOSOYA Akio Hiroshima Univ., Research Institute for Theoretical Physics, Professor, 理論物理学研究所, 教授 (80028258)
KIMURA Toshiei Hiroshima Univ., Research Institute for Theoretical Physics, Professor, 理論物理学研究所, 教授 (30034606)
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| Project Period (FY) |
1988 – 1989
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| Project Status |
Completed (Fiscal Year 1989)
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| Budget Amount *help |
¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 1989: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1988: ¥700,000 (Direct Cost: ¥700,000)
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| Keywords | Anomalies / Topology / Quantum Gravity / Strings / Path integral / 量子動力 / 経路積分 / ゲージ理論 / 重力理論 / ストリング理論 / 宇宙項リーマン面 |
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| Research Abstract |
The main subjects of this research project, namely, the problems related to anomalies, topology and Riemann surfaces received much attention recently.
As for the specific results of the present research project, K. Fujikawa studied the detailed behavior of non-critical strings. By regarding the non- critical string theory as a 2-dimensional quantum gravity with anomalies, it was shown that the BRS symmetry is quite naturally defined for a free non- critical string. The string interactions are, however, rather involved due to the topological constraints related to the Riemann-Roch theorem (or ghost number anomaly).
T. Kimura formulated a general quantum treatment of constrained systems, which are closely related to the quantum gravity. The applications of this formulation are left for the future.
A. Hosoya studied the various problems related to the topology changes in quantum gravity. To be specific, he analyzed the vanishing mechanism of the cosmological constant due to baby universes in the path integral formalism. At the same time, he discovered a new instanton-like gravitational solution. As for 3-dimensional quantum gravity, he gave a nice canonical formulation by using the Teichmuller parameters as dynamical variables.
S. Uehara continued the study of super-strings and super-particle. In particular, he succeeded in the general formulation to deal with the deformations of super-Riemann surfaces. This analysis, which is mathematically interesting, is hoped to provide a new insight into the dynamics of super- strings.
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