Topological Aspects of Quantum Field Theories
| Project/Area Number |
06640385
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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 | Nagoya University |
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Principal Investigator |
KITAKADO Shinsaku Nagoya University, Department of Physics, Professor, 理学部, 教授 (20027345)
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| Co-Investigator(Kenkyū-buntansha) |
沢田 昭二 名古屋大学, 理学部, 教授 (50022546)
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| Project Period (FY) |
1994 – 1995
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| Project Status |
Completed (Fiscal Year 1995)
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| Budget Amount *help |
¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1995: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1994: ¥500,000 (Direct Cost: ¥500,000)
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| Keywords | Quantum Mechanics on Manifolds / Gauge Structure / BPST Instantons / Field Theories / Chiral Solitons / 1 / Nc Expansion / BPSインスタントン / 場の量子論の位相幾何学 / ゲージ・ホテンシャル / 1 / Nc展開法 / BPSTインスタント / クイラルソリトン模型 / 非相対論的クォーク模型 / F / D比 |
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| Research Abstract |
We have studied "Topologocal aspects of quantum field theories" from two different approaches : One is the study of quantum mechanics on the topologically non-trivial manifolds and another is the study of the topologically non-trivial chiral solitons in quantum field theory.
In the study of quantum mechanics on manifolds we have shown that the gauge structure emerging on the 2n-dimensional sphere is that of the generalized BPST instantons. This shows that the self dual solutions of the non-abelian gauge field theory can be obtained by studying quantum mechanics on the apropriate manifold.
In the study of chiral solitons (baryons) in QCD we have obtained in the 1/N_C expansion scheme, an explicit N_C dependences of the F/D ratios for both spin-flip and spin-nonflip baryon vertices, which enables us to extract various properties of baryons for N_C=3.
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Report
(3 results)
Research Products
(9 results)
