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Holography, Pade Approximants and Deconstruction

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arxiv hep-ph/0610326 v1 pith:CFNCI726 submitted 2006-10-25 hep-ph

Adam Falkowski , Manuel Perez-Victoria This is my paper · ORCID
classification hep-ph
keywords migdalpadeapproachapproximationcorrelationfunctionslargerelation
verification ladder T0 review T1 audit T2 compute T3 formal
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We investigate the relation between holographic calculations in 5D and the Migdal approach to correlation functions in large N theories. The latter employs Pade approximation to extrapolate short distance correlation functions to large distances. We make the Migdal/5D relation more precise by quantifying the correspondence between Pade approximation and the background and boundary conditions in 5D. We also establish a connection between the Migdal approach and the models of deconstructed dimensions.

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    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.

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