Simultaneous confinement of quarks and gluons and a gauge-invariant color confinement mechanism

2015 Fiscal Year Final Research Report

• Project/Area Number: 24540252
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Chiba University
• Principal Investigator: Kondo Kei-Ichi 千葉大学, 理学(系)研究科(研究院), 教授 (60183042)
• 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)
• Co-Investigator(Renkei-kenkyūsha): KATO SEIKOU 小山高専, 准教授 (50342564)
• Project Period (FY): 2012-04-01 – 2016-03-31
• 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

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.

Free Research Field

素粒子論