Towards a consistent AdS/QCD dictionary

Abstract

This note focuses on the large-N behaviour of the Hard Wall model of QCD and clarifies the AdS/QCD dictionary formulated on the basis of the AdS/CFT correspondence. It is shown how short-distance studies performed in the framework of the AdS/QCD Soft Wall model allow one to determine unambiguously the chiral symmetry breaking function in the Hard Wall model. Especially, the different forms of the field/operator prescription are emphasized. The large-N behaviour of the Hard Wall model is then checked considering the vector and gravitational form factors of the pion in the chiral limit.

Feb 2009. 25 pp. Second version with Eq.(3.83) corrected and justified. The main points are clarified and ref. added

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• An AdS/QCD model from tachyon condensation: II
• Holographic like models as a five-dimensional rewriting of large-Nc QCD
• AdS/QCD models describing a finite number of excited mesons with Regge spectrum
• The large-N behavior of the holographic models of QCD