Holography, chiral Lagrangian and form factor relations

TL;DR

This paper explores mesonic properties in holographic QCD models, deriving low energy constants and form factor relations, with results aligning well with other methods and revealing universal relations.

Contribution

It provides a detailed derivation of the chiral Lagrangian up to order p^6 from holographic models and uncovers universal form factor relations.

Findings

Low energy constants show minor model dependence

Derived relations among low energy constants are model-independent

Universal relations between form factors are identified

Abstract

We perform a detailed study of mesonic properties in a class of holographic models of QCD, which is described by the Yang-Mills plus Chern-Simons action. By decomposing the 5 dimensional gauge field into resonances and integrating out the massive ones, we reproduce the Chiral Perturbative Theory Lagrangian up to ${\cal O}(p^6)$ and obtain all the relevant low energy constants (LECs). The numerical predictions of the LECs show minor model dependence, and agree reasonably with the determinations from other approaches. Interestingly, various model-independent relations appear among them. Some of these relations are found to be the large-distance limits of universal relations between form factors of the anomalous and even-parity sectors of QCD.