Quark number densities at imaginary chemical potential in $N_f=2$ lattice QCD with Wilson fermions and its model analyses

Understand

We investigate temperature ($T$) dependence of quark number densities ($n_q$) at imaginary and real chemical potential ($\mu$) by using $N_f = 2$ lattice QCD and the hadron resonance gas (HRG) model.

• Quark number densities are calculated at imaginary $\mu$ with lattice QCD on an $8^2 \times 16 \times 4$ lattice with the clover-improved $N_f =2$ Wilson fermion action and the renormalization-group-improved Iwasaki gauge action.
• The results are consistent with the previous results of the staggered-type quark action.
• The $n_q$ obtained are extrapolated to real $\mu$ by assuming the Fourier series for the confinement region and the polynomial series for the deconfinement region.