Regge theory in a holographic dual of QCD in the Veneziano limit

Artur Amorim,Miguel S Costa,Matti Järvinen

doi:10.1007/jhep07(2021)065

Abstract

We initiate the study of Regge theory in a bottom-up holographic model for QCD in the Veneziano limit, where the backreaction of the quarks to the gluon dynamics is included. We determine the parameters of the model by carrying out a precise fit to the meson spectrum in QCD. The spectrum for spin-one and pseudoscalar mesons is well reproduced. We then generalise the model to incluce higher spin fields in the bulk trajectories dual to the Pomeron and meson Regge trajectories at the boundary. With this setting, we fit the masses of the mesons with spins J = 2, 3, and 4, as well as the experimental data of the total cross-sections σ(γγ → X), σ(γp → X) and σ(pp → X). For the cross sections we obtain a {chi}_{mathrm{d}.mathrm{o}.mathrm{f}}^2 of 0.74 for a total of 199 experimental points.

Highlights

Trajectory can be obtained by a linear fit of the meson spins against the meson squared masses
We initiate the study of Regge theory in a bottom-up holographic model for QCD in the Veneziano limit, where the backreaction of the quarks to the gluon dynamics is included
In previous works [34, 38, 42] we have studied the dynamics of the higher spin J fields in the graviton Regge trajectory by generalising the bulk graviton equation of motion

Summary

Introduction

Trajectory can be obtained by a linear fit of the meson spins against the meson squared masses. In this work we will follow the same procedure for the Pomeron trajectory, and apply it to the meson trajectory by generalising to higher spin the equation of motion of the bulk field dual to the vector mesons Before we start such procedure, we need to guarantee that our model is describing with accuracy the spectrum of the vector mesons. In this limit the quark contributions are not suppressed, and their backreaction to the gluon dynamics must be taken into account

Objectives

Results

Conclusion