QCD/String holographic mapping and glueball mass spectrum

TL;DR

This paper explores a holographic approach to modeling glueball spectra in confining gauge theories, using an AdS slice approximation inspired by AdS/CFT, and compares the results with supergravity and lattice QCD data.

Contribution

It provides a simple holographic method to estimate glueball mass ratios within the AdS slice approximation, connecting bulk scalar fields to boundary glueball states.

Findings

Derived glueball mass ratios using the holographic mapping.

Compared holographic results with supergravity and lattice QCD data.

Validated the AdS slice approximation at low energies.

Abstract

Recently Polchinski and Strassler reproduced the high energy QCD scaling at fixed angles from a gauge string duality inspired in AdS/CFT correspondence. In their approach a confining gauge theory is taken as approximately dual to an AdS space with an IR cut off. Considering such an approximation (AdS slice) we found a one to one holographic mapping between bulk and boundary scalar fields. Associating the bulk fields with dilatons and the boundary fields with glueballs of the confining gauge theory we also found the same high energy QCD scaling. Here, using this holographic mapping we give a simple estimate for the mass ratios of the glueballs assuming the AdS slice approximation to be valid at low energies. We also compare these results to those coming from supergravity and lattice QCD.