July 31, 2018 to August 6, 2018
Maynooth University
Europe/Dublin timezone

Correct way to extract the dominant part of the Wilson loop in higher representations

Aug 5, 2018, 3:00 PM
Hall E (Arts Bldg.)

Hall E

Arts Bldg.

Talk A: Vacuum structure and confinement Vacuum structure and confinement


Mr Ryutaro Matsudo (Chiba University)


The Abelian dominance of the string tension for the fundamental sources in MA gauge was shown in the lattice simulations. However, it is known that, for higher representations, the naive "Abelian" Wilson loop, which is defined by using the diagonal part of the gauge field, does not reproduce the correct behavior. To solve this problem, for an arbitrary representation of an arbitrary gauge group, we redefine the "Abelian" Wilson loop through the non-Abelian Stokes theorem. By using this redefined operator, we check the "Abelian" dominance for sources in the adjoint representation and the six-dimensional representation of SU(3) gauge group in lattice simulations.

Primary authors

Mr Ryutaro Matsudo (Chiba University) Akihiro Shibata (KEK) Seikou Kato (Oyama College) Kei-Ichi Kondo (Chiba University)

Presentation materials