Dynamical AdS/Yang-Mills Model

TL;DR

This paper develops a holographic model mimicking Yang-Mills theory using AdS/CFT, addressing stability issues and matching lattice glueball spectra with minimal parameters.

Contribution

It introduces a superpotential-based AdS/Yang-Mills model with stabilization mechanisms to accurately reproduce scalar glueball spectra.

Findings

Successfully models scalar glueball masses with few parameters

Identifies and stabilizes an instability via a bulk cosmological constant and branes

Provides a framework extendable to other spins, parities, and finite temperature

Abstract

The AdS/CFT correspondence has provided new and useful insights into the nonperturbative regime of strongly coupled gauge theories. We construct a class of models meant to mimic Yang-Mills theory using the superpotential method. This method allows us to efficiently address the problem of solving all the equations of motion. The conformal symmetry is broken in the infrared by a dilaton field. Using a five-dimensional action we calculate the mass spectrum of scalar glueballs. This spectrum contains a tachyon, indicating an instability in the theory. We stabilize the theory by introducing a cosmological constant in the bulk and a pair of 3-branes, as in the Randall-Sundrum model. The scalar glueball masses computed by lattice gauge theory are then described very well by just a few parameters. Prospects for extending the model to other spins and parities and to finite temperature are considered.