Veneziano like amplitude as a test for AdS/QCD models

TL;DR

This paper proposes using Veneziano-like amplitudes as a test for bottom-up AdS/QCD models by examining resonance pole sums and their low-energy behavior, emphasizing the importance of background suppression in the holographic setup.

Contribution

It introduces a novel criterion based on Veneziano-like amplitudes to evaluate the validity of holographic QCD models, focusing on resonance structures and background suppression.

Findings

Resonance pole sums can reproduce Veneziano-like amplitudes at zero momentum transfer.

A five-dimensional background that suppresses ultraviolet contributions is crucial for accurate modeling.

Examples of low-energy holographic models demonstrating this approach are provided.

Abstract

The high energy asymptotics of QCD correlation functions is often used as a test for bottom-up holographic models. Since QCD is not strongly coupled in the ultraviolet domain, such a test may look questionable. We propose that the sum over resonance poles emerging in correlators of a bottom-up model should reproduce the structure of a Veneziano like amplitude at zero momentum transfer assuming equivalence of spin and radial states in the latter. This requires a five-dimensional background that suppresses the ultraviolet part in the effective action of a model. We give examples of emerging low-energy holographic models.