| 日時: |
2009-07-24 16:00 - 17:00 |
| 場所: |
研究本館3階322室 |
| 会議名: |
Recent progress in dual superconductor picture for quark confinement |
| 連絡先: |
安井、yasuis AT post.kek.jp |
| 講演者: |
近藤慶一 氏 (千葉大学) |
| 講演言語: |
日本語 |
| アブストラクト: |
The purpose of this talk is to review recent works for a gauge-invariant dual superconductivity based on a new formulation of Yang-Mills theory, which enables us to explain quark confinement in the gauge-independent way without using a specific gauge or Abelian projection. First, we give a gauge invariant definition of magnetic monopole in Yang-Mills theory without matter fields, using a non-Abelian Stokes theorem and change of field variables, without Abelian projection. Second, we show that the magnetic part of the Wilson loop operator is written in terms of the linking number between the Wilson loop surface and the magnetic monopole loop. Third, we give a first exact solution representing a magnetic monopole loop due to a meron pair with the non-trivial Pontryagin index. The numerical results for one and two-instantons are also discussed. In addition, we summarize remarkable results of numerical simulations based on a new formulation: ``Abelian'' dominanc!
e and magnetic monopole dominance in the string tension. Finally, we discuss a novel feature in case of the general gauge group SU(N), the representation dependence of the string tension and the string breaking. |
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