Abstract

We calculate the ground-state energy of cold and dense spin-polarized quark matter with corrections due to correlation energy $({E}_{\mathrm{corr}})$. Expressions for ${E}_{\mathrm{corr}}$ both in the nonrelativistic and ultrarelativistic regimes have been derived and compared with the exchange and kinetic term present in the perturbation series. It is observed that the inclusion of correlation energy does not rule out the possibility of the ferromagnetic phase transition at low density within the model proposed by Tatsumi [Phys. Lett. B489, 280 (2000)]. We also derive the spin stiffness constant in the high-density limit of such a spin-polarized matter.

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