XIIIth Quark Confinement and the Hadron Spectrum

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

5 Aug 2018, 15:00

20m

Hall E (Arts Bldg.)

Talk A: Vacuum structure and confinement Vacuum structure and confinement

Speaker

Mr Ryutaro Matsudo (Chiba University)

Description

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.

Presentation materials

Matsudo.pdf