TL;DR
This paper generalizes the SU(2) magnetic ground state analysis in QCD to arbitrary SU(N) groups using Abelian dominance and Lie group theory, enabling broader applications in non-Abelian gauge theories.
Contribution
It introduces a method to extend SU(2) magnetic ground state results to SU(N) QCD using Abelian dominance and Lie algebra techniques.
Findings
Extended the magnetic ground state energy spectrum to SU(N)
Provided arguments for the stability of the magnetic ground state in SU(N)
Facilitated the application of the Faddeev-Skyrme model to SU(N) QCD
Abstract
Abelian dominance is used to reformulate the QCD Lagrangian as a sum over the roots of Lie group representation theory. This greatly facilitates extending the SU(2) magnetic ground state energy spectrum, several arguments for the stability of the magnetic ground state, and the Faddeev-Skyrme model to arbitrary SU(N) QCD.
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