${\rm SU}(N) \to {\rm Z}(N)$ dual superconductor models: the magnetic loop ensemble point of view

Abstract

In this work, we initially discuss some physical properties of effective ${\rm SU}(N) \to {\rm Z}(N)$ YMH models, emphasizing the important role of valence gluons. Next, we review how adjoint fields are naturally generated as an effective description of "adjoint" loops in $4D$. Finally, we discuss the consequences that can be learnt from this point of view, and briefly comment on some improvements.