Resurgence and fractional instanton of the SU($3$) gauge theory in weak coupling regime

Understand

According to recent studies on resurgence scenario of quantum systems, some topological objects with fractional charges play an important role to see the resurgence structure.

• In this talk, we report a numerical evidence of the fractional-instantons of the SU($3$) gauge theory.
• The fractional-instanton appears in a weak coupling regime, if the theory is regularized by an infrared (IR) cutoff via the $1$-form twisted boundary conditions.
• The Polyakov loop is also measured to investigate the center symmetry and confinement.