2023/03/28 by Catterall, Simon, Giedt, Joel, Toga, Goksu Can
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2303.16025
In this paper we use lattice simulation to study four dimensional N=4 super Yang-Mills (SYM) theory. We have focused on the three color theory on lattices of size 124 and for 't Hooft couplings up to λ=40.0. Our lattice action is based on a discretization of the Marcus or GL twist of N=4 SYM and retains one exact supersymmetry for non-zero lattice spacing. We show that lattice theory exists in a single non-Abelian Coulomb phase for all 't Hooft couplings. Furthermore the static potential we obtain from correlators of Polyakov lines is in good agreement with that obtained from holography - specifically the potential has a Coulombic form with a coefficent that varies as the square root of the 't Hooft coupling.