Holography from lattice $$\mathcal{N}$$ = 4 super Yang-Mills
In this paper we use lattice simulation to study four dimensional $$\mathcal{N}$$ = 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 $$\mathcal{N}$$ = 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.
- Research Organization:
- Syracuse Univ., NY (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Grant/Contract Number:
- SC0009998; SC0013496
- OSTI ID:
- 2242433
- Journal Information:
- Journal of High Energy Physics (Online), Vol. 2023, Issue 8; ISSN 1029-8479
- Publisher:
- Springer NatureCopyright Statement
- Country of Publication:
- United States
- Language:
- English
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