Holography from lattice $N=4$ super Yang-Mills
Title: | Holography from lattice $N=4$ super Yang-Mills |
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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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