Neural networks trained on rho, a1, a2 and f0 mass spectra reconstruct a holographic QCD background with scalar potential k1 X^3 + k2 X^4 (k1 ~ -8, k2 ~17) and claim a pion-mass prediction that is partly circular.
Emerging Holography
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abstract
We rederive AdS/CFT predictions for infrared two-point functions by an entirely four dimensional approach, without reference to holography. This approach, originally due to Migdal in the context of QCD, utilizes an extrapolation from the ultraviolet to the infrared using a Pade approximation of the two-point function. We show that the Pade approximation and AdS/CFT give the same leading order predictions, and discuss including power corrections such as those due to condensates of gluons and quarks in QCD. At finite order the Pade approximation provides a gauge invariant regularization of a higher dimensional gauge theory in the spirit of deconstructed extra dimensions. The radial direction of anti-de Sitter space emerges naturally in this approach.
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Learning holographic QCD with unflavored meson spectra
Neural networks trained on rho, a1, a2 and f0 mass spectra reconstruct a holographic QCD background with scalar potential k1 X^3 + k2 X^4 (k1 ~ -8, k2 ~17) and claim a pion-mass prediction that is partly circular.