Abstract

AdS/CFT models have achieved considerable success in describing hadronic properties such as masses and Regge trajectories. Even if the minimal vertex that couples photons to structureless spin-zero fields is used, one still ends up with electromagnetic form factors of hadrons that are in fair to good agreement with experiment. However, contradicting both experiment and naive expectation, this minimal model gives zero for hadronic electric and magnetic polarizabilities. We show here that if effective vertices are used, and axial and vector mesons are allowed to propagate as intermediate states, then the static polarizabilities can in principle be computed from AdS/CFT.

Highlights

  • Following the Maldacena revolution [1], hundreds of papers have been written over the last two decades in attempts to build a theory of hadronic structure based upon the correspondence between anti–de Sitter/conformal field theory (AdS/CFT) with strongly interacting systems described at a fundamental level by quantum chromodynamics (QCD)

  • A different set of topics can be found in the review by Kim and Yi [3]

  • One must not forget the limitations of the AdS/CFT approach. This implicitly relies upon a large-Nc approach, which means all calculations in the bulk are at the tree level

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Summary

Pervez Hoodbhoy

A current state of the field and references can be found in the review by Brodsky et al [2] in which the authors discuss an interesting connection between light-front dynamics, its holographic mapping to gravity in a higher-dimensional AdS space, and conformal quantum mechanics. This approach sheds additional light on the confinement dynamics in QCD in the limit of massless. Since the real holographic dual to QCD is unknown, one must fall back upon physically motivated prescriptions for the dual theory This suggests that naive attempts to model hadronic quantities will inevitably fail at some level.

PERVEZ HOODBHOY
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The normalization is
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