Holographic Description of Glueball and Baryon in Noncommutative Dipole Gauge Theory

TL;DR

This paper investigates the glueball and baryon spectra in noncommutative dipole gauge theories using holography, revealing how dipole length influences the spectrum and inter-particle forces.

Contribution

It provides analytic formulas for glueball spectra and explores the effects of dipole length on confinement and inter-gluon/quark forces in both supersymmetric and non-supersymmetric settings.

Findings

Dipole length sets the scale for the discrete glueball spectrum in supersymmetric theory.

Dipole effects induce attractive forces between gluons and quarks.

Two baryon phases are identified: large baryons as static strings and small baryons as moving strings.

Abstract

We study the glueball spectrum in the supersymmetric and non-supersymmetric 4D non-commutative dipole gauge theory from the holographic description. We adopt the semiclassical WKB approximation to solve the dilaton and antisymmetric tensor field equations on the dual supergravity backgrounds to find the analytic formula of the spectrum of $0^{++}$ and $1^{--}$ glueballs, respectively. In the supersymmetric theory we see that the dipole length plays the intrinsic scale which reflects the discrete spectrum therein. In the non-supersymmetric theory, the temperature (or the radius of compactification) in there will now play the intrinsic scale and we see that the dipole has an effect to produce attractive force between the gluons within the glueball. We also study the confining force between the quarks within the baryon via strings that hang into the dipole deformed AdS geometry and see that the dipole could also produce an attractive force between the quarks. In particular, we find that the baryon has two phases in which a big baryon is dual to the static string while a small baryon is described by a moving dual string .