AdS/CFT Correspondence and string/gauge duality

TL;DR

This paper explores how the AdS/CFT correspondence can be approximated to study non-conformal theories, successfully reproducing high-energy QCD scattering scaling and glueball mass ratios.

Contribution

It demonstrates a simple slice approximation of AdS space to model non-conformal gauge theories and derive physical results.

Findings

Reproduces high-energy QCD scattering amplitude scaling

Estimates glueball mass ratios from AdS slice approximation

Shows the utility of simple approximations in non-conformal dualities

Abstract

The AdS/CFT correspondence is an exact duality between string theory in anti-de Sitter space and conformal field theories on its boundary. Inspired in this correspondence some relations between strings and non conformal field theories have been found. Exact dualities in the non conformal case are intricate but approximations can reproduce important physical results. A simple approximation consists in taking just a slice of the AdS space with a size related to an energy scale. Here we will discuss how this approach can be used to reproduce the scaling of high energy QCD scattering amplitudes. Also we show that very simple estimates for glueball mass ratios can emerge from such an approximation.