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Neural ODE and Holographic QCD

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arxiv 2006.00712 v1 pith:Q4Z2FIK7 submitted 2020-06-01 hep-th cond-mat.dis-nngr-qchep-ph

Neural ODE and Holographic QCD

classification hep-th cond-mat.dis-nngr-qchep-ph
keywords neuralbulkholographicmachinetemperatureconsistentemergentfunctions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The neural ordinary differential equation (Neural ODE) is a novel machine learning architecture whose weights are smooth functions of the continuous depth. We apply the Neural ODE to holographic QCD by regarding the weight functions as a bulk metric, and train the machine with lattice QCD data of chiral condensate at finite temperature. The machine finds consistent bulk geometry at various values of temperature and discovers the emergent black hole horizon in the holographic bulk automatically. The holographic Wilson loops calculated with the emergent machine-learned bulk spacetime have consistent temperature dependence of confinement and Debye-screening behavior. In machine learning models with physically interpretable weights, the Neural ODE frees us from discretization artifact leading to difficult ingenuity of hyperparameters, and improves numerical accuracy to make the model more trustworthy.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Holographic Learning from Fermionic Spectra: Application to Strange Metal Phenomenology

    hep-th 2026-07 accept novelty 7.0

    Neural ODEs learn that normalized low-T cuprate PLL spectra are well described by conformal-to-AdS2 black holes with nearly vanishing gauge potential, while thermodynamics remain invisible to the massless probe.

  2. Holographic Learning from Fermionic Spectra: Application to Strange Metal Phenomenology

    hep-th 2026-07 conditional novelty 7.0

    A Neural-ODE framework reconstructs effective black-hole metric functions and gauge potential from fermionic spectral functions, validates on known holographic models, and shows low-temperature cuprate strange-metal s...

  3. Probing bulk geometry via pole skipping: from static to rotating spacetimes

    gr-qc 2026-04 unverdicted novelty 7.0

    Pole-skipping data encodes enough information to reconstruct the full metric of 3D rotating black holes and the radial functions of 4D separable rotating black holes, with Einstein equations becoming algebraic constra...