Simultaneous confinement of quarks and gluons and a gauge-invariant color confinement mechanism
| Project/Area Number |
24540252
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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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, 理学(系)研究科(研究院), 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, 計算科学センター, 研究機関講師 (30290852)
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| Co-Investigator(Renkei-kenkyūsha) |
KATO SEIKOU 小山高専, 准教授 (50342564)
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Keywords | クォーク閉じ込め / グルーオン閉じ込め / カラー閉じ込め / 磁気単極子 / 双対超伝導 / 双対マイスナー効果 / Savvidy真空 / 非閉じ込め相転移 / 有限温度 / 双対超電導 / 質量ギャップ / 格子ゲージ理論 / 汎関数くりこみ群 / Nielsen-Olesen不安定性 / Nielsen-Olesen不安定性， / マグネティックモノポール / 物理的ユニタリー性 / 有質量ベクトル場 |
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| Outline of Final Research Achievements |
In order to study quark and gluon confinement based on the dual superconductor picture, we have developed both novel reformulations of the Yang-Mills theory and the non-Abelian Stokes theorem for the Wilson loop operator. We have confirmed that quark confinement in the SU(3) case is caused by NON-Abelian magnetic monopoles defined in a gauge-invariant way, in sharp contrast to the SU(2) case in which the magnetic monopole is Abelian type. These results are supported in a gauge-independent way. On the other hand, our numerical data show that the dual superconductivity is type I, irrespective of the gauge group, SU(3) or SU(2), against the preceding works. These results suggest that QCD vacuum is not equal to the electro-magnetic dual of the type II superconductor against the conventional wisdom. Therefore, we need deeper understanding on the stability of the vacuum related to confinement mechanism.
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Report
(5 results)
Research Products
(35 results)
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[Presentation] Magnetic monopole and quark confinement2015
Author(s)
K.-I. Kondo
Organizer
Workshop: Gauge Field Topology: From Lattice Simulations and Solvable Models to Experiment
Place of Presentation
State University of New York at Stony Brook, USA
Year and Date
2015-08-17
Related Report
Int'l Joint Research / Invited
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