Holography from lattice $N=4$ super Yang-Mills

Bibliographic Details
Title: Holography from lattice $N=4$ super Yang-Mills
Authors: Catterall, Simon, Giedt, Joel, Toga, Goksu Can
Publication Year: 2023
Collection: High Energy Physics - Lattice
High Energy Physics - Theory
Subject Terms: High Energy Physics - Theory, High Energy Physics - Lattice
More Details: 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 $12^4$ and for 't Hooft couplings up to $\lambda=40.0$. 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.
Comment: 13 pages, 10 figures, 3 tables. arXiv admin note: text overlap with arXiv:2009.07334
Document Type: Working Paper
Access URL: http://arxiv.org/abs/2303.16025
Accession Number: edsarx.2303.16025
Database: arXiv
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