D0-D4 system and QCD_{3+1}

TL;DR

This paper models 3+1 dimensional QCD using a supergravity dual with D0-D4 branes, calculating glueball spectra and Wilson loops, revealing decoupling of Kaluza-Klein modes without affecting glueball masses.

Contribution

It introduces a dual supergravity framework for 3+1D QCD with D0-D4 branes, analyzing glueball spectra and Wilson loops, and discusses mode decoupling.

Findings

Glueball spectrum matches non-extremal D4-brane results.

Established area law for spatial Wilson loops.

Identified a region where Kaluza-Klein modes decouple without affecting glueball masses.

Abstract

We consider a $(3+1)$-dimensional QCD model using a dual supergravity description with a non-extremal $D0$-$D4$ brane background. We calculate the spectrum of glueball masses and Wilson loops in the background. The mass spectrum is shown to coincide with one in non-extremal $D4$-brane systems, and an area low of spatial Wilson loops is established. We show that there is a region that Kaluza-Klein modes of the Euclidean time direction are decoupled without decoupling glueball masses.