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Tetraquarks: why they are so difficult to model
After the confirmation of the Zc(4330)- at LHCb, tetraquarks became one of the main highlights in physics. We briefly review tetraquark models since the onset of QCD, the experimental tetraquarks candidates, and the tetraquarks computed in lattice QCD. Then we detail Tetraquarks potentials computed in Lattice QCD, including static tetraquarks flux tubes, and dynamical-antistatic dynamical-antistatic potentials. Finally we discuss some of the problems and solutions in modeling tetraquarks with lattice QCD inspired potentials: flip-flop potentials, non-orthogonality and the colour excited states, unitarity, phase shifts and resonances.