Abelian-Higgs Phase of SU(2) QCD and Glueball Energy

TL;DR

This paper demonstrates that SU(2) QCD can exist in a dual Abelian-Higgs phase resembling a type-II superconductor, and presents a method to calculate glueball energies using a bag model with a soft wall.

Contribution

It introduces a novel approach combining connection decomposition and the random-direction approximation to establish the dual Abelian-Higgs phase in SU(2) QCD and provides a calculational framework for glueball energies.

Findings

SU(2) QCD admits a dual Abelian-Higgs phase.

The phase behaves like a type-II superconductor.

A new method for calculating glueball energies is proposed.

Abstract

It is shown that SU(2) QCD admits an dual Abelian-Higgs phase, with a Higgs vacuum type of type-II superconductor. This is done by using connection decomposition for the gluon field and the random-direction approximation. Using bag picture with soft wall, we presented a calculational procedure for glueball energy based on the recent proof for wall-vortices [Nucl. Phys. B 741(2006)1].