Confinement in the q-state Potts field theory

Details Confinement in the q-state Potts field theory Confinement in the q-state Potts field theory

2007-06-07

arxiv.org/abs/0706.1020v2

Nucl.Phys.B791:265-283,2008

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 8 figures. v2: references added

Scientific paper

10.1016/j.nuclphysb.2007.09.003

The q-state Potts field theory describes the universality class associated to the spontaneous breaking of the permutation symmetry of q colors. In two dimensions it is defined up to q=4 and exhibits duality and integrability away from critical temperature in absence of magnetic field. We show how, when a magnetic field is switched on, it provides the simplest model of confinement allowing for both mesons and baryons. Deconfined quarks (kinks) exist in a phase bounded by a first order transition on one side, and a second order transition on the other. The evolution of the mass spectrum with temperature and magnetic field is discussed.

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