Phase Fluctuation of Fermion Determinant in Lattice QCD at Finite Density
Once the quark chemical potential $μ$ is introduced in finite density QCD, the fermion determinant appeared in the path integral measure becomes complex. In order to investigate the phase effect of SU(3) lattice QCD (2-flavors), we calculated the fluctuation of the phase of $\detΔ(μ)$ on a $8^3\times4$ lattice at $μ= 0.1$ and 0.2. Then we calculated the chiral condensate and Polyakov line in the no phase and reweighted cases. There is little difference between these two cases at $μ= 0.1$ and 0.2. We consider a possible reason for this result below $μ\le 0.27$ in terms of $Z_3$ symmetry.
hep-lat↗