Towards understanding Regge trajectories in holographic QCD

Abstract

We reassess a work done by Migdal on the spectrum of low-energy vector mesons in QCD in the light of the AdS-QCD correspondence. Recently, a tantalizing parallelism was suggested between Migdal's work and a family of holographic duals of QCD. Despite the intriguing similarities, both approaches face a major drawback: the spectrum is in conflict with well-tested Regge scaling. However, it has recently been shown that holographic duals can be modified to accomodate Regge behavior. Therefore, it is interesting to understand whether Regge behavior can also be achieved in Migdal's approach. In this paper we investigate this issue. We find that Migdal's approach, which is based on a modified Pade approximant, is closely related to the issue of quark-hadron duality breakdown in QCD.

arXiv comment17 pages, 1 figure. Typos fixed, references added, improved discussion. Minor changes to match the journal version

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• An AdS/QCD model from tachyon condensation: II
• A Rational Approach to Resonance Saturation in large-Nc QCD
• On the sign of the dilaton in the soft wall models
• The AdS/QCD Correspondence: Still Undelivered
• Meson-Nucleon Coupling from AdS/QCD
• Holographic Renormalisation and the Electroweak Precision Parameters
• On Anomaly Matching and Holography
• Mapping String States into Partons: Form Factors and the Hadron Spectrum in AdS/QCD
• Remarks on the two-dimensional power correction in the soft wall model
• Assuming Regge trajectories in holographic QCD: from OPE to Chiral Perturbation Theory
• Migdal's model and holography
• Fermions in worldline holography