How to extract the "Abelian" part of double-winding Wilson loop

21 Jun 2019, 15:20
20m
Shimao 3A

Shimao 3A

Parallel Vacuum Structure and Confinement Vacuum Structure and Confinement

Speaker

Ryutaro Matsudo (Chiba University)

Description

It is known that the naive Abelian Wilson loop defined by the Abelian projection cannot reproduce the correct behavior of the double-winding Wilson loop. It is also known that the naive Abelian Wilson loop cannnot reproduce the correct behavior of the Wilson loops in higher representations, but this problem was recently solved by using the redefiend "Abelian" Wilson loop.
In this talk, we will give another reason why this redefined "Abelian" Wilson loop behaves correctly, and by following the same line of the argument, we will propose redefined "Abelian" double-winding Wilson loop which is considered to behave correctly.

Author

Ryutaro Matsudo (Chiba University)

Presentation materials