AdS/QCD oddball masses and the odderon Regge trajectory from a twist-five operator approach

J. P. Morais Graça,Eduardo Folco Capossoli,Henrique Boschi-Filho

doi:10.1103/physrevd.105.026026

J. P. Morais Graça, Eduardo Folco Capossoli + Show 1 more

Open Access

https://doi.org/10.1103/physrevd.105.026026

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Abstract

In this work, we consider a massive gauge boson field in ${\mathrm{AdS}}_{5}$ dual to odd glueball states with twist-5 operator in 4D Minkowski spacetime. Introducing an IR cutoff, we break the conformal symmetry of the boundary theory allowing us to calculate the glueball masses with odd spins using Dirichlet and Neumann boundary conditions. Then, from these masses, we construct the corresponding Regge trajectories associated with the odderon. Our results are compatible with the ones in the literature.

Highlights

The history of what would come to be called glueballs goes back to the early days of hadronic physics, before the emergence of QCD
Introducing an IR cutoff, we break the conformal symmetry of the boundary theory allowing us to calculate the glueball masses with odd spins using Dirichlet and Neumann boundary conditions
We will present our results for the masses of higher odd spin glueballs as well as the Regge trajectories associated with the odderon achieved from our holographic hardwall model within a twist five operator approach, considering the usual Dirichlet and Neumann boundary conditions

Summary

INTRODUCTION

The history of what would come to be called glueballs goes back to the early days of hadronic physics, before the emergence of QCD. The above relationship plotted in a Chew-Frautschi plane is known as the Regge trajectory If these Reggeized particles are Reggeized gluons, one has the so-called glueballs. Odd spin glueballs are interesting because they lie on the Regge trajectory of an exchanged Reggeon called odderon. The combination of these results may be considered sufficient to give the odderon experimentally discovered Motivated by this recent discovery, in the present work, we are interested in odd spin glueballs J−−, with (J ≥ 1). [18–41] an incomplete list of those contributions, which take into account even and odd spin glueballs, topdown and botton-up holographic models, considering anomalous dimension, dynamical AdS/QCD models, deformed AdS metric space, Einstein-Maxwell-dilaton background, among other proposals.

HOLOGRAPHIC DESCRIPTION OF ODD SPIN GLUEBALLS

RESULTS

Dirichlet boundary condition

CONCLUSIONS