AdS/QCD duality and the quarkonia holographic information entropy

Abstract

Bottomonium and charmonium, representing quarkonia states, are scrutinized under the point of view of the information theory, in the AdS/QCD holographic setup. A logarithmic measure of information, comprised by the configurational entropy, is here employed to quantitatively study quarkonia radially excited S-wave states. The configurational entropy provides data regarding the relative dominance and the abundance of the bottomonium and charmonium states, whose underlying information is more compressed, in the Shannon's theory meaning. The derived configurational entropy, therefore, identifies the lower phenomenological prevalence of higher S-wave resonances and higher masses quarkonia in Nature.

7 pages, 6 figures

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• Information Content of Spontaneous Symmetry Breaking
• Dynamical holographic QCD with area-law confinement and linear Regge trajectories
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• Conditional entropy of glueball states
• Holographic model for charmonium dissociation
• Maximum Entropy Principle and the Higgs Boson Mass
• The nuclear configurational entropy impact parameter dependence in the Color-Glass Condensate
• Fine-tuning the Color-Glass Condensate with the nuclear configurational entropy
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• Configuration entropy and stability of bottomonium radial excitations in a plasma with magnetic fields
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• A holographic bottom-up description of light nuclide spectroscopy and stability
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• Configurational information measure of mesonic states in 4-flavor AdS/QCD
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