Glueball Mass Spectra and Other Issues for Supergravity Duals of QCD Models

TL;DR

This paper derives approximate glueball mass spectra using WKB methods for supergravity models related to QCD, revealing universality and stability features, and examines the properties of a nonsupersymmetric type 0 string model.

Contribution

It provides analytical WKB expressions for glueball masses in supergravity duals of QCD and explores their universality and stability across models, including a non-supersymmetric type 0 string model.

Findings

Glueball spectra closely match numerical results.

Spectra depend mainly on AdS dimension and horizon singularity.

Type 0 model's heavy quark potential remains Coulombic in IR.

Abstract

We derive WKB expressions for glueball masses of various finite temperature supergravity models. The results are very close to recent numerical computations. We argue that the spectra has some universality that depends only on the dimension of the AdS space and the singularity structure of the horizon. This explains the stability of the $0^{++}$ glueball mass ratios between various models. We also consider the recently proposed nonsupersymmetric model arising from the type 0 string. In the supergravity limit of this model, the heavy quark potential has an effective coupling with 1/(log u) behavior in the UV. Unfortunately, the supergravity solution implies that the heavy quark potential is still coulombic in the infrared, with an effective coupling of order 1. We also argue that the type 0 supergravity background solution does not have normalizable glueball solutions.