Flux-Tube Ring and Glueball Properties in the Dual Ginzburg-Landau Theory

TL;DR

This paper models glueballs as flux-tube rings within the dual Ginzburg-Landau framework, deriving their mass spectrum and size using a string-inspired approach, providing insights into their properties.

Contribution

It introduces a novel flux-tube ring model for glueballs using the dual Ginzburg-Landau theory and Nambu-Goto action, linking flux-tube dynamics to glueball characteristics.

Findings

Lowest glueball mass estimated at ~1.6 GeV

Glueball size approximately 0.5 fm

Flux-tube ring model aligns with expected glueball properties

Abstract

An intuitive approach to the glueball using the flux-tube ring solution in the dual Ginzburg-Landau theory is presented. The description of the flux-tube ring as the relativistic closed string with the effective string tension enables us to write the hamiltonian of the flux-tube ring using the Nambu-Goto action. Analyzing the Schr\"odinger equation, we discuss the mass spectrum and the wave function of the glueball. The lowest glueball state is found to have the mass $M_G \sim 1.6 GeV$ and the size $R_G \sim 0.5 fm$.