Center group dominance in quark confinement

Abstract

We show that the color $N$ dependent area law falloffs of the double-winding Wilson loop averages for the $SU(N)$ lattice gauge theory obtained in the preceding works are reproduced from the corresponding lattice Abelian gauge theory with the center gauge group $Z_N$. This result indicates the center group dominance in quark confinement.

12pages, 5 figures, published in PTEP

References in corpus (3)

• Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory
• Double-winding Wilson loops and monopole confinement mechanisms
• Double-winding Wilson loops in the $SU(N)$ Yang-Mills theory