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Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Resurgence and fractional instanton of the SU(3) gauge theory in weak coupling regime
E. Itou
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Pre-published on: 2019 December 05
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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.
The fractional-instanton corresponds to a solution linking two of degenerate $\mathbb{Z}_3$-broken vacua in the deconfinement phase.
This talk is based on the paper[1].
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