Jul 22 – 28, 2018
Kellogg Hotel and Conference Center
EST timezone

Confinement of quarks in higher representations in view of dual superconductivity.

Jul 23, 2018, 4:50 PM
104 (Kellogg Hotel and Conference Center)


Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824
Vacuum Structure and Confinement Vacuum Structure and Confinement


Akihiro Shibata (KEK)


Dual superconductor picture is a promising scenario for quark confinement. For quarks in the fundamental representation, we have presented a new formulation of Yang-Mills theory on the lattice, where decomposed restricted fields play the dominant role in confinement, and demonstrated numerical evidences for the dual superconductivity. To establish this picture, we must show evidences for various situations, e.g., for quarks in higher representations. In this talk, we investigate the Wilson loops in higher representations. By virtue of the non-Abelian Stokes theorem, we propose the suitable Wilson loop operator made of the restricted field in the fundamental representation, so that it reproduces the correct behavior of the original Wilson loop in the higher representation. We perform lattice simulations to measure the static quark potential using the Wilson loop operator in higher representations. We find that our proposed Wilson loop operators reproduce the correct behavior of the original Wilson loop average and overcome the problem that occurs in the naively Abelian-projected Wilson loop operator for higher representations.

Primary author


Kei-Ichi Kondo (Chiba University) Ryutaro Matsudo (Chiba University) Seikou Kato (Oyama college)

Presentation materials