Towards a consistent AdS/QCD dictionary

TL;DR

This paper clarifies the AdS/QCD dictionary in the Hard Wall model, analyzing large-N behavior and form factors to improve understanding of chiral symmetry breaking and field/operator correspondence.

Contribution

It unambiguously determines the chiral symmetry breaking function in the Hard Wall model using insights from the Soft Wall model and examines large-N behavior through form factors.

Findings

Unambiguous determination of the chiral symmetry breaking function.

Analysis of large-N behavior via pion form factors.

Clarification of the field/operator prescription in AdS/QCD.

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.