2011 Fiscal Year Final Research Report
Study of topological configurations playing the dominant role for quark confinement
| Project/Area Number |
21540256
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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 |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Chiba University |
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Principal Investigator |
KONDO Kei-ichi 千葉大学, 大学院・理学研究科, 教授 (60183042)
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| Co-Investigator(Kenkyū-buntansha) |
SHIBATA Akihiro 高エネルギー加速器研究機構, 計算科学研究センター, 研究機関講師 (30290852)
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| Co-Investigator(Renkei-kenkyūsha) |
KATO Seiko 福井工業高等専門学校, 准教授 (50342564)
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| Project Period (FY) |
2009 – 2011
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| Keywords | クォーク閉じ込め / ヤン・ミルズ理論 / 磁気単極子 / インスタントン / メロン |
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| Research Abstract |
We have established the analytical and numerical method for finding in a gauge-invariant manner magnetic monopoles which are indispensable for the dual superconductivity for understanding quark confinement, and have obtained new findings on magnetic monopole in the Yang-Mills theory. Although it was believed that instantons in the Yang-Mills theory do not contribute to quark confinement, we have discovered that a circular loop of magnetic monopole is generated from the 2-instanton of Jackiw-Nohl-Rebbi type in four dimensional SU(2) Yang-Mills theory, and confirmed simultaneously the preceding results that 1-instanton and 2-instanton of the 'tHooft type obtained in a certain limit do not generate such a magnetic monopole. In SU(3) Yang-Mills theory, we have shown that non-Abelian U(2) magnetic monopoles plays the dominant role in confinement, in sharp contrast to the conventional Abelian projection.
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