Gauge/string duality and scalar glueball mass ratios

TL;DR

This paper uses a simplified AdS slice model to estimate scalar glueball mass ratios in confining gauge theories, achieving results consistent with existing literature and showing independence from the slice size.

Contribution

It introduces a straightforward method to estimate glueball mass ratios using Dirichlet boundary conditions in a simplified AdS slice approximation.

Findings

Mass ratios agree with literature results

Ratios are independent of the slice size

Method provides a simple estimation approach

Abstract

It has been shown by Polchinski and Strassler that the scaling of high energy QCD scattering amplitudes can be obtained from string theory. They considered an AdS slice as an approximation for the dual space of a confining gauge theory. Here we use this approximation to estimate in a very simple way the ratios of scalar glueball masses imposing Dirichlet boundary conditions on the string dilaton field. These ratios are in good agreement with the results in the literature. We also find that they do not depend on the size of the slice.