Jul 26 – 30, 2021
US/Eastern timezone

Monopoles of the Dirac type and color confinement in QCD

Jul 26, 2021, 10:00 PM
15m
Oral presentation Vacuum Structure, Confinement, and Chiral Symmetry Vacuum Structure, Confinement, and Chiral Symmetry

Speaker

Tsuneo Suzuki (Osaka University)

Description

When non-Abelian gauge fields in $SU(3)$ QCD have a line-singularity leading to non-commutability with respect to successive partial-derivative operations, the non-Abelian Bianchi identity is violated. The violation as an operator is shown to be equivalent to violation of the Abelian-like Bianchi identities. Then there appear eight Abelian-like conserved magnetic monopoles of the Dirac type in $SU(3)$ QCD. Using lattice Monte-Carlo simulations, perfect Abelian and monopole dominances are shown to exist without introducing additional smoothing techniques like partial gauge fixings when we define lattice Abelian-like monopoles following the DeGrand-Toussaint method adopted in the study of the Dirac monopole in lattice compact QED. As reported separately, the Abelian dual Meissner effect around a pair of static quark and antiquark is caused by the solenoidal Abelian monopole current.

Primary authors

Tsuneo Suzuki (Osaka University) Dr Katsuya Ishiguro (Library and Information Technology, Kochi University) Dr Atsuki Hiraguchi (Department of Mathematics and Physics, Kochi University)

Presentation materials