PoS - Proceedings of Science
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
Full text: pdf
Pre-published on: December 05, 2019
Published on: August 27, 2020
Abstract
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].
DOI: https://doi.org/10.22323/1.363.0014
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