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

Journal of High Energy Physics

Etsuko Itou¹ 

[1] 0000 0004 1936 9959, grid.26091.3c, Department of Physics, and Research and Education Center for Natural Sciences, Keio University, 4-1-1 Hiyoshi, 223-8521, Yokohama, Kanagawa, Japan;0000 0001 0659 9825, grid.278276.e, Department of Mathematics and Physics, Kochi University, 780-8520, Kochi, Japan;0000 0004 0373 3971, grid.136593.b, Research Center for Nuclear Physics (RCNP), Osaka University, 567-0047, Osaka, Japan;

关键词: Lattice Quantum Field Theory;    Nonperturbative Effects;    Solitons Monopoles and Instantons;    Topological States of Matter;   

DOI  :  10.1007/JHEP05(2019)093

来源: publisher

【 摘 要 】

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 ℤ3-broken vacua in the deconfinement phase.

【 授权许可】

Unknown