ar X iv : n uc l - th / 0 61 00 15 v 1 5 O ct 2 00 6 SAGA - HE - 231 - 06 Repulsive force by vector mesons and quark - hadron phase transition

Department of Physics, Saga University, Saga 840-8502, Japan Abstract Using a phenomenological model with vector-type interactions, we discuss a role of repulsive force in the quark-hadron phase transition at high density. For realization of the quark phase at high density, strong vector coupling is needed in the hadron phase, while it is forbidden in the quark phase. For the quark-phase, a NJL-type model with a multi-quark interaction is investigated. We show that, in this model, the restoration of chiral symmetry decreases effective vector coupling and the quark phase is realized at high density, even if we have strong vector coupling at low density. In this model, the strong coupling in the hadron phase is induced by the chiral symmetry breaking.