Fractional instanton of the SU(3) gauge theory in weak coupling regime

Itou, Etsuko (0000 0004 1936 9959, Department of Physics, and Research and Education Center for Natural Sciences, Keio University, 4-1-1 Hiyoshi, Yokohama, Kanagawa, 223-8521, Japan) (0000 0001 0659 9825, Department of Mathematics and Physics, Kochi University, Kochi, 780-8520, Japan) (0000 0004 0373 3971, Research Center for Nuclear Physics (RCNP), Osaka University, Osaka, 567-0047, Japan)

27 May 2019

Abstract: Motivated by recent studies on the resurgence structure of quantum field theories, we numerically study the nonperturbative phenomena of the SU(3) gauge theory in a weak coupling regime. We find that topological objects with a fractional charge emerge if the theory is regularized by an infrared (IR) cutoff via the twisted boundary conditions. Some configurations with nonzero instanton number are generated as a semi-classical configuration in the Monte Carlo simulation even in the weak coupling regime. Furthermore, some of them consist of multiple fractional-instantons. We also measure the Polyakov loop to investigate the center symmetry and confinement. The fractional-instanton corresponds to a solution linking two of degenerate ℤ 3 -broken vacua in the deconfinement phase.


Published in: JHEP 1905 (2019) 093
Published by: Springer/SISSA
DOI: 10.1007/JHEP05(2019)093
arXiv: 1811.05708
License: CC-BY-4.0



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