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Confining vacua and Q-state Potts models wit Q<1

Presenter: Ferdinando Gliozzi — Torino University

F- Gliozzi

In most Yang-Mills models the phase with magnetic monopole condensation coincides with that where center vortices percolate, thus it is not clear which of these two properties is most directly involved in producing confinement. It is pointed out that there is a class of 3D gauge models, which can be though of as dual of Q-state Potts models with Q < 1, where the magnetic monopole condensation is not necessarily associated to the percolation of center vortices. There the vacuum is not confinig, in the sense that large Wilson loops obey a perimeter law. In these models a confining vacuum can be observed only when both confining mechanisms are present.